[pt] Nos últimos anos, os robôs móveis têm emergido como uma solução alternativa para o aumento do nível de automação e mecanização na agricultura. Neste contexto, o foco da agricultura de precisão é a otimização do uso de insumos, redução de perdas nas lavouras, redução do desperdício de água e melhorar a produtividade em áreas cada vez menores, tornando a produção mais eficiente e sustentável. Os robôs agrícolas, ou AgBots podem ser controlados remotamente ou atuar de forma autônoma, utilizando diferentes sistemas de locomoção, bem como serem equipados com atuadores e sensores que lhes permitem realizar diversas tarefas agrícolas, tais como plantio, colheita, poda, fenotipagem, monitoramento e coleta de dado, entre outros. Neste trabalho será realizado um estudo em robôs móveis com rodas direcionado para os modelos de tração diferencial e no modelo similar ao carro (com atuação do sistema de direção) e suas aplicações em navegação autônoma em ambientes agrícolas. A modelagem e o projeto de controle baseiam-se em técnica clássicas e avançadas, utilizando abordagens de controle robusto por modo deslisante, tanto de primeira como de segunda ordens (Super Twisting Algorithm) para lidar com incertezas e interferências externas, comumente encontradas no tipo de ambiente agrícola a que se destina. Teste de verificação e validação são realizados através de simulações numéricas (MATLAB) e em ambiente de virtualização 3D (Gazebo). Testes experimentais preliminares são incluídos para ilustrarem as possibilidades de aplicação das metodologias de controle propostas em um ambiente real. Conclusões a respeito do trabalho são apresentadas, desenvolvendo uma discussão sobre os seus pontos mais relevantes, bem como sobre as perspectivas de melhorias futuras e pontos que ainda podem ser melhor pesquisados. / [en] In the last years, mobile robots have emerged as an alternative solution for increasing the levels of automation and mechanization in agricultural fields. In this context, the key idea of precision agriculture is to optimize the use of production inputs, crop losses, waste of water and to increase the crop production in small areas, in an efficient and sustainable manner. Agricultural robots or AgBots may be autonomous or remotely controlled, being endowed with different types of locomotion apparatus, actuation and sensory systems, as well as specialized tools which enable them to carry out a number of agricultural tasks such as, seeding, pruning, harvesting, phenotyping, monitoring and data collection. In this work, we perform a study on two type of wheeled mobile robots (i.e., differential-drive and car-like) and their application for autonomous navigation in agricultural fields. The modeling and control design is based on classical and advanced approaches, using robust control approaches such as Sliding Mode Control (first order) and Super Twisting Algorithm (second order) to deal with parametric uncertainties and external disturbances, commonly founded in agricultural fields. Verification and validation are carried out by means of numerical simulations in MATLAB and 3D computer simulations in Gazebo. Preliminary experimental tests are included to illustrate the performance and feasibility of the proposed modeling and control methodologies. Concluding remarks and perspectives are presented to summarize the strengths and weaknesses of the proposed solution and to suggest the scope for future improvements.

This dissertation advances tools for the certification of unmanned aircraft system (UAS) flight controllers. We develop two thrusts to this goal: (1) the validation and improvement of an uncertain UAS framework based on integral quadratic constraint (IQC) theory and (2) the development of novel IQC theorems which allow the analysis of uncertain systems having time-varying characteristics. Pertaining to the first thrust, this work improves and implements an IQC-based robustness analysis framework for UAS. The approach models the UAS using a linear fractional transformation on uncertainties and conducts robustness analysis on the uncertain system via IQC theory. By expressing the set of desired UAS flight paths with an uncertainty, the framework enables analysis of the uncertain UAS flying about any level path whose radius of curvature is bounded. To demonstrate the versatility of this technique, we use IQC analysis to tune trajectory-tracking and path-following controllers designed via H2 or H-infinity synthesis methods. IQC analysis is also used to tune path-following PID controllers. By employing a non-deterministic simulation environment and conducting numerous flight tests, we demonstrate the capability of the framework in predicting loss of control, comparing the robustness of different controllers, and tuning controllers. Finally, this work demonstrates that signal IQCs have an important role in obtaining IQC analysis results which are less conservative and more consistent with observations from flight test data. With regards to the second thrust, we prove a novel theorem which enables robustness analysis of uncertain systems where the nominal plant and the IQC multiplier are linear time-varying systems and the nominal plant may have a non-zero initial condition. When the nominal plant and the IQC multiplier are eventually periodic, robustness analysis can be accomplished by solving a finite-dimensional semidefinite program. Time-varying IQC multipliers are beneficial in analysis because they provide the possibility of reducing conservatism and are capable of expressing uncertainties that have unique time-domain characteristics. A number of time-varying IQC multipliers are introduced to better describe such uncertainties. The utility of this theorem is demonstrated with various examples, including one which produces bounds on the UAS position after an aggressive Split-S maneuver. / Doctor of Philosophy / This work develops tools to aid in the certification of unmanned aircraft system (UAS) flight controllers. The forthcoming results are founded on robust control theory, which allows the incorporation of a variety of uncertainties in the UAS mathematical model and provides tools to determine how robust the system is to these uncertainties. Such a foundation provides a complementary perspective to that obtained with simulations. Whereas simulation environments provide a probabilistic-type analysis and are oftentimes costly, the following results provide worst-case guarantees—for the allowable disturbances and uncertainties—and require far less computational resources. Here we take two approaches in our development of certification tools for UAS. First we validate and improve on an uncertain UAS framework that relies on integral quadratic constraint (IQC) theory to analyze the robustness of the UAS in the presence of uncertainties and disturbances. Our second approach develops novel IQC theorems that can aid in providing bounds on the UAS state during its flight trajectory. Though the applications in this dissertation are focused on UAS, the theory can be applied to a wide variety of physical and nonphysical problems wherein uncertainties in the mathematical model cannot be avoided.

This dissertation consists of three essays in theoretical and applied microeconomics: the first essay is in cooperative game theory, and the second and third essays relate to forest economics. The first chapter studies a class of cooperative games dubbed ``r-essential games''. Cooperative game theory has proposed different notions of powerful players. For example, big-boss games (Muto et al., 1988) and clan games (Potters et al., 1989) are particular cases of veto games (Bahel, 2016). The first chapter extends these veto games by assuming that there is a given subset of powerful (or essential) players, but only a few (as opposed to all) essential players are required for a coalition to have a positive value. The resulting games, which are called r-essential games, encompass convex games (Shapley, 1971) and veto games. We show that r-essential games have a nonempty core. We give a recursive description of the core. Moreover, it is shown that the core and the bargaining set are equivalent for every r-essential game. An application to networks is provided. The second chapter employs a two-principal, one-agent model to estimate the social cost of fiscal federalism in China's northeast native forests. China's key forested region is located in the northeast and consists of state forest enterprises which manage forest harvesting and reforestation. Deforestation is a major problem there and has resulted in several central government reforms. We develop a framework for assessing the social cost of state forest enterprise deforestation. We first develop a two-principal, one-agent model that fits the federalistic organization of state forests, in that state forest managers make (potentially hidden) decisions under influence of provincial and central government policies. This model is used to quantify the social cost of these hidden actions. We then use panel data from a survey conducted by Peking University to compute social welfare losses and to formally identify the main factors in these costs. A sensitivity analysis shows that, interestingly, command and control through lower harvesting limits and a more accurate monitoring system are more important to lowering social welfare losses than conventional incentives targeting the wages of forest managers. Through regression analysis we also find that the more remote areas with a higher percentage of mature natural forests are the ones that will always have the highest social welfare losses. The third chapter studies the problem of choosing a rotation under uncertain future ecosystem values and timber prices. This problem is nearly as old as the field of forest economics itself. A forest owner faces various uncertainties caused by climate change and market shocks, due to its long-term nature of production and the joint production of interrelated timber and amenity (non-harvesting) benefit streams. The vast literature in stochastic rotation problems simply assumes a known probability distribution for whatever parameter is uncertain, but this type of assumption may lead to misspecification of a rotation decision model if a forest owner has no such information. We study a more relevant question of how to choose rotation ages when there is pure (or Knightian) uncertainty, in that the forest owner does not know distributional features of parameters and further can be averse to this type of information deficit. This chapter is the first to investigate pure uncertainty in amenity benefit streams and is also the first to analytically solve a stochastic rotation problem under pure uncertainty in either amenity streams or market prices. We use robust methods developed in macroeconomics that are particularly suited to forest capital investment problem, but with important differences owing to the nature of forest goods production. The results show that newer models suggesting rotation ages could be longer under volatile parameter distributions do not hold generally when pure uncertainty and forest owner uncertainty aversion is considered. Rather, the earlier literature showing faster or greater harvesting with increases in risk under risk neutrality may actually be a more general result than current literature supposes. In particular, we find that a landowner tends to harvest more when his degree of uncertainty aversion is higher and the model is misspecified by assumption, or when the volatility of an uncertain process is higher. These situations tend to magnify model misspecification costs, especially because the forest manager always assumes the worst case will happen when there is uncertainty. This implies the decision maker is pessimistic in the sense that he or she is always trying to maximize the utility under the worst possible state of nature (the lowest amenity benefit or the lowest timber price). Whether landowners are in fact uncertainty averse and assume the worst case in their decisions remains to be empirically investigated, but our work suggests it is an important question that must be answered. / Doctor of Philosophy / This dissertation consists of three essays in theoretical and applied microeconomics: the first essay is in cooperative game theory, and the second and third essays relate to forest economics. The first chapter studies a class of cooperative games dubbed ``r-essential games''. Cooperative game theory has proposed different notions of powerful players. For example, veto games (Bahel, 2016) have powerful players that are named veto players. Any coalition needs to include all these powerful players to achieve a positive coalition value. The first chapter extends these veto games by assuming that there is a given subset of powerful (or essential) players, but only a few (as opposed to all) essential players are required for a coalition to have a positive value. The resulting games, which are called r-essential games, encompass two classic games, convex games (Shapley, 1971) and veto games. We show that each r-essential game has at least one solution that is an allocation guaranteeing that no coalition can do better on its own. We provide a process allowing to compute this allocation in each r-essential game. An application to networks is provided. The second chapter estimates the damage of deforestation in China's northeast forests. This region consists of state forest enterprises which manage harvesting and reforestation and have represented the most important source of wood supplies since the 1950s. Deforestation is a major problem there. We develop a framework for assessing the damage to the society because of deforestation. We develop a theoretical model to describe the forest management structure, in which state forest managers make (potentially hidden) decisions under influence of provincial and central government policies. This model is used to quantify the damage. We then use data from a survey conducted by Peking University to compute the damage and confirm the main factors in these damages in practice. We find that lower harvesting limits and a more accurate monitoring system are the keys to lowering the damage. These are more important than conventional instruments used by the governments such as the wages for managers that achieve certain targets. We also find that the remote areas with a higher percentage of mature natural forests are the ones that will always have the largest damage. These areas are the hardest to monitor, but our results show they must be a critical focus moving forward. The third chapter studies when should a forest owner harvest under uncertain future ecosystem values and timber prices. A forest owner faces various uncertainties caused by climate change and market shocks, due to its long-term nature of production and the joint production of interrelated timber and non-harvesting benefit streams (such as the recreation value, the biodiversity value and the clean air supported by forests). Previous studies assume a known probability distribution for whatever parameter is uncertain, but this type of assumption may lead to a wrong decision model if a forest owner has no such information. We study a more relevant question of how to choose when to harvest with pure uncertainty, in that the forest owner does not know distributional features of parameters and further can be averse to this type of information deficit. This chapter is the first to investigate pure uncertainty and is also the first to analytically solve a harvest decision making problem under pure uncertainty in either non-harvesting benefit streams or market prices. We use macroeconomics methods that are particularly suited to forest capital investment problem. We find that a landowner tends to harvest more when there is pure uncertainty. Because the forest manager is pessimistic and always thinks the worst case will happen when there is uncertainty.

The enhancement of the reliability, security, and resiliency of electric power systems depends on the availability of fast, accurate, and robust dynamic state estimators. These estimators should be robust to gross errors on the measurements and the model parameter values while providing good state estimates even in the presence of large dynamical system model uncertainties and non-Gaussian thick-tailed process and observation noises. It turns out that the current Kalman filter-based dynamic state estimators given in the literature suffer from several important shortcomings, precluding them from being adopted by power utilities for practical applications. To be specific, they cannot handle (i) dynamic model uncertainty and parameter errors; (ii) non-Gaussian process and observation noise of the system nonlinear dynamic models; (iii) three types of outliers; and (iv) all types of cyber attacks. The three types of outliers, including observation, innovation, and structural outliers are caused by either an unreliable dynamical model or real-time synchrophasor measurements with data quality issues, which are commonly seen in the power system. To address these challenges, we have pioneered a general theoretical framework that advances both robust statistics and robust control theory for robust dynamic state and parameter estimation of a cyber-physical system. Specifically, the generalized maximum-likelihood-type (GM)-estimator, the unscented Kalman filter (UKF), and the H-infinity filter are integrated into a unified framework to yield various centralized and decentralized robust dynamic state estimators. These new estimators include the GM-iterated extended Kalman filter (GM-IEKF), the GM-UKF, the H-infinity UKF and the robust H-infinity UKF. The GM-IEKF is able to handle observation and innovation outliers but its statistical efficiency is low in the presence of non-Gaussian system process and measurement noise. The GM-UKF addresses this issue and achieves a high statistical efficiency under a broad range of non-Gaussian process and observation noise while maintaining the robustness to observation and innovation outliers. A reformulation of the GM-UKF with multiple hypothesis testing further enables it to handle structural outliers. However, the GM-UKF may yield biased state estimates in presence of large system uncertainties. To this end, the H-infinity UKF that relies on robust control theory is proposed. It is shown that H-infinity is able to bound the system uncertainties but lacks of robustness to outliers and non-Gaussian noise. Finally, the robust H-infinity filter framework is proposed that leverages the H-infinity criterion to bound system uncertainties while relying on the robustness of GM-estimator to filter out non-Gaussian noise and suppress outliers. Furthermore, these new robust estimators are applied for system bus frequency monitoring and control and synchronous generator model parameter calibration. Case studies of several different IEEE standard systems show the efficiency and robustness of the proposed estimators. / Ph. D. / The enhancement of the reliability, security, and resiliency of electric power systems depends on the availability of fast, accurate, and robust dynamic state estimators. These estimators should be robust to gross errors on the measurements and the model parameter values while providing good state estimates even in the presence of large dynamical system model uncertainties and non-Gaussian thick-tailed process and observation noises. There are three types of gross errors or outliers, namely, observation, innovation, and structural outliers. They can be caused by either an unreliable dynamical model or real-time synchrophasor measurements with data quality issues, which are commonly seen in the power system. The system uncertainties can be induced in several ways, including i) unknowable system inputs, such as noise, parameter variations and actuator failures, to name a few; ii) unavailable inputs, such as unmeasured mechanical power, field voltage of the exciter, unknown fault location; and iii) inaccuracies of the model parameter values of the synchronous generators, the loads, the lines, and the transformers, to name a few. It turns out that the current Kalman filter-based dynamic state estimators suffer from several important shortcomings, precluding them from being adopted by power utilities for practical applications. To address these challenges, this dissertation has proposed a general theoretical framework that advances both robust statistics and robust control theory for robust dynamic state and parameter estimation. Specifically, the robust generalized maximum-likelihood-type (GM)- estimator, the nonlinear filter, i.e., unscented Kalman filter (UKF), and the H-infinity filter are integrated into a unified framework to produce various robust dynamic state estimators. These new estimators include the robust GM-IEKF, the robust GM-UKF, the H-infinity UKF and the robust H-infinity UKF. Specifically, the GM-IEKF deals with the observation and innovation outliers but achieving relatively low statistical efficiency in the presence of non-Gaussian system process and measurement noise. To address that, the robust GM-UKF is proposed that is able to achieve a high statistical efficiency under a broad range of non-Gaussian noise while maintaining the robustness to observation and innovation outliers. A reformulation of the GM-UKF with multiple hypothesis testing further enables it to handle three types of outliers. However, the GM-UKF may yield biased state estimates in presence of large system uncertainties. To this end, the H-infinity UKF that depends on robust control theory is proposed. It is able to bound the system uncertainties but lacks of robustness to outliers and non-Gaussian noise. Finally, the robust H-infinity filter framework is proposed that relies on the H-infinity criterion to bound system uncertainties while leveraging the robustness of GM-UKF to filter out non-Gaussian noise and suppress outliers. These new robust estimators are applied for system bus frequency monitoring and control and synchronous generator model parameter calibration. Case studies of several different IEEE standard systems show the efficiency and robustness of the proposed estimators.

La thèse porte sur le développement des techniques non linéaires robustes de stabilisation et commande des systèmes avec perturbations de model. D’abord, on introduit les concepts de base de stabilité et stabilisabilité robuste dans le contexte des systèmes non linéaires. Ensuite, on présente une méthodologie de stabilisation par retour d’état en présence d’incertitudes qui ne sont pas dans l’image de la commande («unmatched»). L’approche récursive du «backstepping» permet de compenser les perturbations «unmatched» et de construire une fonction de Lyapunov contrôlée robuste, utilisable pour le calcul ultérieur d’un compensateur des incertitudes dans l’image de la commande («matched»). Le contrôleur obtenu est appelé «recursive Lyapunov redesign». Ensuite, on introduit la technique de stabilisation par «Immersion & Invariance» comme outil pour rendre un donné contrôleur non linéaire, robuste par rapport à dynamiques non modelées. La première technique de contrôle non linéaire robuste proposée est appliquée au projet d’un autopilote pour un missile air-air et au développement d’une loi de commande d’attitude pour un satellite avec appendices flexibles. L’efficacité du «recursive Lyapunov redesign» est mis en évidence dans le deux cas d’étude considérés. En parallèle, on propose une méthode systématique de calcul des termes incertains basée sur un modèle déterministe d’incertitude. La partie finale du travail de thèse est relative à la stabilisation des systèmes sous échantillonnage. En particulier, on reformule, dans le contexte digital, la technique d’Immersion et Invariance. En premier lieu, on propose des solutions constructives en temps continu dans le cas d’une classe spéciale des systèmes en forme triangulaire «feedback form», au moyen de «backstepping» et d’arguments de domination non linéaire. L’implantation numérique est basée sur une loi multi-échelles, dont l’existence est garantie pour la classe des systèmes considérée. Le contrôleur digital assure la propriété d’attractivité et des trajectoires bornées. La loi de commande, calculée par approximation finie d’un développement asymptotique, est validée en simulation de deux exemples académiques et deux systèmes physiques, le pendule inversé sur un chariot et le satellite rigide. / The dissertation deals with the problems of stabilization and control of nonlinear systems with deterministic model uncertainties. First, in the context of uncertain systems analysis, we introduce and explain the basic concepts of robust stability and stabilizability. Then, we propose a method of stabilization via state-feedback in presence of unmatched uncertainties in the dynamics. The recursive backstepping approach allows to compensate the uncertain terms acting outside the control span and to construct a robust control Lyapunov function, which is exploited in the subsequent design of a compensator for the matched uncertainties. The obtained controller is called recursive Lyapunov redesign. Next, we introduce the stabilization technique through Immersion \& Invariance (I\&I) as a tool to improve the robustness of a given nonlinear controller with respect to unmodeled dynamics. The recursive Lyapunov redesign is then applied to the attitude stabilization of a spacecraft with flexible appendages and to the autopilot design of an asymmetric air-to-air missile. Contextually, we develop a systematic method to rapidly evaluate the aerodynamic perturbation terms exploiting the deterministic model of the uncertainty. The effectiveness of the proposed controller is highlighted through several simulations in the second case-study considered. In the final part of the work, the technique of I\& I is reformulated in the digital setting in the case of a special class of systems in feedback form, for which constructive continuous-time solutions exist, by means of backstepping and nonlinear domination arguments. The sampled-data implementation is based on a multi-rate control solution, whose existence is guaranteed for the class of systems considered. The digital controller guarantees, under sampling, the properties of manifold attractivity and trajectory boundedness. The control law, computed by finite approximation of a series expansion, is finally validated through numerical simulations in two academic examples and in two case-studies, namely the cart-pendulum system and the rigid spacecraft.

Cette thèse porte sur la modélisation, la réduction et la commande des grands systèmes électriques.En terme de modélisation et de réduction, l’objectif principal est de développer une méthode de réduction des modèles dynamiques des systèmes électriques. Cette réduction a pour objet de répondre à une situation particulière dans laquelle toutes les données du système à réduire ne sont pas connues.En terme de commande, l’objectif est la conception de commandes robustes coordonnées pour répondre aux nouvelles contraintes des grands systèmes électriques. Ces approches doivent respecter trois niveaux de coordination et deux nouvelles contraintes. Les trois niveaux de coordination concernent la prise en compte simultanée des oscillations électromécaniques interzones et locaux, la coordination de la synthèse de régulateurs pour plusieurs alternateurs, et la coordination du réglage des paramètres (gains et constantes de temps) des régulateurs de tension (les boucles stabilisatrices PSS) avec le réglage des paramètres des régulateurs de turbine des alternateurs. Les contraintes sont liées à la stabilité et la robustesse des régulateurs proposés. / This thesis concerns modeling, reduction, and control of large-scale interconnected power systems. In modeling and reduction term, the main objective is to develop a new method to construct low-order model or dynamic equivalent of a large-scale power system. This method must be used to reduce a power system models even when information of the whole power system is not completely available. In control term, the objective is the synthesis of coordinated and robust controller for large scale power systems. These new approaches have to respect three coordinated levels and two new constraints. The Three coordinated levels concern: simultaneous damping of the electromechanical inter-area and local modes, coordinated synthesis of several alternator regulators and coordinated tuning of parameters of Standard Power Stabilizer (PSS) and speed regulators. The constraints are related to the stability and the robustness of the proposed regulators.

Les Véhicules Etroits et Inclinables (VEI) sont la convergence d’une voiture et d’un motocycle. Un mètre de largeur seulement suffit pour transporter une ou deux personnes en Tandem. Les VEI sont conçus dans le but de résoudre partiellement les problèmes de trafic routier, de minimiser la consommation énergétique et l’émission de polluants. De par leurs dimensions(ratio hauteur/largeur), ces véhicules doivent s’incliner en virage pour rester stable en compensant l’effet de l’accélération latérale. Cette inclinaison doit dans certains cas être automatique : elle peut être réalisée à l’aide d’un couple d’inclinaison généré par un actionneur dédié (système DTC), soit encore en modulant l’angle de braquage des roues (Système STC). Nous avons proposé dans ce mémoire une méthodologie de synthèse d’un régulateur structuré minimisant la norme H2 d’un problème bien posé au bénéfice d’une régulation optimisée de l’accélération latérale, considérant tour à tour les systèmes DTC et STC. Les régulateurs proposés sont paramétrés par la vitesse longitudinale et s’avèrent performants et robustes, et les moyens de réglages proposés permettent d’étudier l’intérêt relatif d’une solution DTC pure ou mixte DTC/STC, permettant de supporter les développements futurs sur le sujet. L’originalité des solutions proposées en regard des études rencontrées dans la littérature porte en particulier sur le fait de choisir de réguler directement l’accélération latérale perçue (plutôt que l’angle d’inclinaison), en anticipant la prise de virage par la prise en compte des angles et vitesse de braquage. L’optimisation de la régulation permet de réduire de manière importante le couple d’inclinaison requis, et l’accélération latérale subie par les passagers est faible. Tous les développements proposés s’appuient naturellement en amont sur un travail de modélisation (recherche du modèle juste nécessaire), et de bibliographie conséquent. Le modèle retenu comprend 5 degrés de libertés. Nous avons démontré qu’il possédait la propriété intéressante d’être plat, et avons utilisé cette propriété pour ouvrir des perspectives relatives à la conception d’un régulateur non-linéaire robuste, susceptible apriori d’accroître les performances dans le cas de « grands mouvements ». Au contraire de ce qui existe dans la littérature,le régulateur multivariable conçu pour le système SDTC permet le contrôle coordonné des actions sur les systèmes STC et DTC. / Narrow Tilting Vehicles (NTV) are the convergence of a car and a motorcycle. One meter wide, these vehicles are designed for one or two people sitting the one in front the other. The idea behind the conception of NTV is the minimization of traffic congestion, energy consumption and pollutant emission. But because of their dimensions, these cars would have to lean into corners in order to compensate for the lateral acceleration and maintain their stability. The tilting should be automatic, and can be achieved by a tilting torque generated by a dedicated tilting actuator (DTC) or by modifying the steering angle (STC) or both (SDTC). In this thesis, we first propose a methodology for the design of an output feedback structured regulator, minimizing the H2 norm of a well-posed problem, built to optimize the lateral acceleration of the NTV, considering DTC and SDTC systems.The designed controllers, with the longitudinal velocity as a parameter, lead to the minimization of the tilting torque and of the lateral acceleration perceived by the driver, and have good performances as well as good robustness properties. Furthermore, the tuning methodology allows the comparison of a pure DTC solution and a mixed SDTC alternative. Compared to the literature, the originalities in this thesis are the direct control of the measured value of the lateral acceleration (instead of the tilting angle), and the anticipation of the tilt, thanks to the use of the steering angle and angular velocity. Furthermore, the SDTC solution allows to drive both the STC and DTC systems in a coordinated manner. The design strategies are based on a preliminary study of vehicle models, and a design model with 5DoF was developed. We demonstrated that the model has the nice property to be flat, and in the last section of the thesis, used this property to initiate the design of a non-linear robust controller, which can a priori lead to better performances in case of “large motions”.

Para aplicações de extração de petróleo de poços em terra foi desenvolvido pelo Laboratório de Eletromagnetismo Aplicado (LMAG) da Escola Politécnica da Universidade de São Paulo um protótipo de motor de indução linear tubular (MILT), onde o movimento axial do secundário do motor aciona diretamente a bomba de extração situada no fundo do poço. Numa segunda etapa, foi prevista a substituição dos mancais mecânicos por dois mancais magnéticos ativos (AMBs), que permitem melhor movimentação e praticamente nenhum atrito, reduzindo o desgaste causado por impurezas contidas no petróleo extraído, e consequentemente os esforços de manutenção. Todavia, o protótipo atual possui apenas um mancal magnético, e o outro é mecânico. O presente trabalho apresenta a instalação do segundo mancal magnético ao protótipo do MILT, e propõe realizar o controle do sistema de mancais magnéticos para o MILT, tendo em vista um problema multivariável, onde as posições do secundário do motor em relação aos dois mancais são correlacionadas, bem como as ações de controle sobre os mesmos. O trabalho faz uma revisão do sistema atual com um AMB, abordando sua concepção física, modelagem e o controlador, e tal controlador é replicado para o segundo AMB. Um novo modelo é apresentado, considerando o comportamento multivariável dos dois AMBs, e um sistema de controle robusto multivariável é projetado, através da técnica LQG/LTR. Resultados de simulação do novo controlador são analisados e comparados com os resultados experimentais do controlador atual aplicado aos dois AMBs, e apresentam-se as conclusões. / For onshore oil extraction applications, a tubular linear induction motor (TLIM) prototype was developed by Applied Electromagnetism Laboratory (LMAG) of Escola Politécnica da Universidade de São Paulo, on which the axial movement of the motor secondary drives the suction pump, placed in the down hole of the oil well. In a second step, it was planned to replace the mechanical bearings by two Active Magnetic Bearings (AMB), in order to have better movement and practically no friction, reducing damages caused by impurities in the oil, thus reducing maintenance effort. Nevertheless, the actual prototype has only one AMB, being the other one a mechanical bearing. This paper presents the installation of the second AMB onto TLIM prototype, and a proposal to implement the control algorithm for the TLIM magnetic bearing system, considering now a multivariable problem, where the position of the motor secondary for both AMB are related, as well as control efforts. The present work review the actual system with only one AMB, approaching its physical construction, mathematical model and applied control system; and this control system is applied to the second AMB. A new model is presented, considering the AMB system multivariable behavior, and a multivariable robust control system is then designed, using LQG/LTR approach. Simulation results for the new controller are analyzed and compared to experimental results from the actual controller applied to both AMB, and some conclusions are presented.

Ce mémoire de thèse traite du développement des dynamiques et des lois de commande de vol d’un projectile d’artillerie gyrostabilisé guidé par une tête découplée. Un modèle non linéaire du projectile est proposé, et sert à calculer un modèle linéarisé de la dynamique de roulis du nez et un modèle q-LPV des chaînes de tangage et de lacet à paramètres fortement variants. Les incertitudes de modélisation sont prises en compte pour concevoir l’autopilote. Des propriétés importantes des projectiles gyrostabilisés, qui sont liées au couplage dynamique tangage/lacet, aux modes internes et à la stabilité, sont mises en valeur grâce au modèle q-LPV. En vue de l’utiliser pour calculer une loi de commande, la dimension de son vecteur des paramètres est réduite et la position des capteurs intégrés dans le nez est considérée. Un seul correcteur linéaire est suffisant pour la dynamique de l’angle de roulis du nez alors qu’une stratégie systématique de commande par séquencement de gains basée sur une linéarisation est élaborée séparément pour générer un correcteur séquencé des facteurs de charge de tangage et de lacet. Des structures de commande fixées d’ordre réduit sont conçues en appliquant la même approche de synthèse linéaire H∞ par façonnage de gain de boucle pour les axes de roulis et de tangage/lacet. De très bonnes propriétés de performance et de robustesse en boucle fermée, comparables à celles fournies par des correcteurs d’ordre plein, sont obtenues. Finalement, l’efficacité de l’autopilote augmenté d’une loi de guidage par navigation proportionnelle pure est vérifiée via de nombreuses simulations non linéaires de trajectoires. Ces dernières correspondent à des scénarios de vol nominaux d’interception de cibles balistiques, non balistiques immobiles, ou manœuvrantes, ainsi qu’à des scénarios considérant des perturbations sur les conditions de tir ou sur les dynamiques du projectile guidé / This thesis addresses the development of the flight dynamics and control laws for an artillery spin-stabilized projectile equipped with a decoupled guidance nose. A projectile nonlinear model is discussed, and it is used for computing a linearized model of the nose roll dynamics along with a q-LPV model of the highly parameter-varying pitch/yaw-dynamics. Modeling uncertainty is taken into account for autopilot design. Important properties specific to spin-stabilized projectiles, which are relevant to pitch/yaw-channel cross-coupling, internal modes and stability, are highlighted using the q-LPV model. In order to use the latter for calculating a control law, the dimension of its parameter vector is reduced and the position of the nose-embedded sensors is considered. A single linear controller is sufficient for the nose roll angle dynamics whereas a systematic linearization-based gain-scheduled control strategy is separately devised to provide a pitch/yaw-axis load factor gain-scheduled controller. Controllers of reduced-order fixed structures are computed by applying the same H∞ linear design loop-shaping approach for the roll and pitch/yaw-axes. Very good closed-loop performance and robustness properties, which are similar to those provided by full order controllers, are obtained. Finally, the effectiveness of the autopilot augmented by a pure proportional navigation guidance law is verified through a variety of nonlinear trajectory simulations. The latter correspond to nominal flight scenarios with ballistic, non-ballistic stationary, and maneuvering interception points, and to scenarios with perturbed launch conditions or guided projectile dynamics

Este trabalho propõe uma nova metodologia de projeto de controladores para o amortecimento de oscilações eletromecânicas de baixa freqüência em sistemas de potência. Considerando a necessidade de se aumentar a robustez dos estabilizadores clássicos frente a variações nas condições de operação, este estudo analisou uma série de requisitos práticos a serem atendidos pelos novos controladores de amortecimento e desenvolveu a metodologia proposta, de tal forma que os controladores projetados pudessem satisfazer a todos os requisitos analisados. Foram tratadas questões relativas à estrutura de controle (realimentação dinâmica descentralizada de saída), à robustez de estabilidade e desempenho (através da modelagem politópica e dos critérios de posicionamento regional de pólos) e da não atuação dos controladores em regime permanente (com a inclusão de filtros washout na modelagem). A principal vantagem desta metodologia proposta é a possibilidade de se garantir formalmente um desempenho robusto dos controladores, dentro de uma região pré-especificada de pontos de operação. Os resultados, obtidos através de simulações não lineares da resposta (para uma série de perturbações) dos sistemas escolhidos para teste, em diversas condições de operação, mostram que os controladores obtidos com a aplicação desta metodologia são capazes de manter seu desempenho frente às variações consideradas. Além disso, a obtenção de resultados satisfatórios com a aplicação desta metodologia a um sistema com 45 variáveis de estado indica boas perspectivas para a utilização conjunta da mesma com técnicas de redução do modelo de estados, para o projeto de controladores de amortecimento em sistemas reais de grande porte. / This research proposes a new methodology for the design of controllers to damp low frequency electromechanical oscillations in power systems. Considering the need to improve the robustness of the classical stabilizers, with respect to variations in the operating conditions, this study has analyzed a series of practical requirements to be met by the new damping controllers and developed the proposed methodology, so the designed controllers could satisfy all the analyzed equirements. Questions regarding the controller structure (decentralized dynamic output feedback), the robustness of stability and performance (through the polytopic modelling and the regional pole placement criteria) and the non influence of the controllers over the steady state behavior of the system (with the inclusion of washout filters in the model) were treated. The main advantage of the proposed methodology is the possibility to ensure, formally, the performance robustness of the controllers, within a previously specified region of operating points. The results, obtained through the eigenanalysis of the closed loop system and the nonlinear simulations of the system responses to a series of disturbances, in various operating conditions, show that the controllers provided by this new methodology are capable of maintaining their performance, despite the considered variations. Moreover, the satisfactory results obtained with the application of this methodology to a system with 45 state variables indicates good perspectives for the joint utilization of the methodology and model order reduction techniques, for the design of damping controllers for real-sized systems.