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Aquesta tesi presenta treball original i aplicat en l'àrea del control i la col·locació de sensors/actuadors (S/A) en sistemes de Control Actiu de Soroll (ANC). Primer, s'han aplicat tècniques de control i identificació robustes per a aconseguir ANC. La fase d'identificació està basada en una proposta d'identificació robusta orientada al control, considerant descripcions del sistema tant paramètriques com no-paramètriques, així com quantificant la incertesa. El disseny del controlador compara les estructures de control feedback (FB), feedforward (FF) i híbrida (FB/FF). El controlador feedback és sintetitzat i avaluat en el marc del control robust, i s'ha dissenyat utilitzant control òptim H∞ plantejat com un problema de sensibilitats mixtes. El controlador FF és un identificador adaptatiu, basat en l'algorisme σ robustament normalitzat. S'han desenvolupat dues propostes per a decidir quina de les estructures de control és més eficient, aplicades a un conducte de 4 metres amb soroll de banda ampla. A més a més, s'han mostrat de manera explícita els compromisos entre identificació i control, les limitacions inherents a un llaç de control feedback, així com qüestions relatives a la implementació de sistemes ANC. També s'han tractat altres qüestions com la relació entre acompliment, ordre del controlador, models paramètrics/no-paramètrics i implementació en processadors digitals de senyal (DSP), així com s'han comparat resultats teòrics i experimentals en el conducte. Les llacunes que encara resten entre teoria i pràctica en aquest tipus d'aplicacions també s'han resumit. D'altra banda, en aquest treball també es tracta el problema de com quantificar la col·locació de sensors i actuadors, amb la finalitat de controlar un sistema físic determinat. La mesura per a determinar la millor localització de S/A es basa en un criteri de llaç tancat orientat al control, el qual optimitza tant acompliment com qüestions pràctiques d'implementació. Aquesta mesura hauria de calcular-se abans del disseny, implementació i prova del controlador. La utilització d'aquesta mesura minimitza la prova combinatòria de controladors en totes les possibles combinacions de S/A. Per a aconseguir-ho, s'han definit diferents mesures que pesen l'acompliment potencial en llaç tancat, la robustesa, el número de condició de la planta (guanys relatius entrada/sortida (I/O)) així com altres qüestions d'implementació, com l'ordre del controlador. Aquestes poden calcular-se utilitzant software estàndard, tant per a models d'una-entrada-una-sortida (SISO) com per a models de múltiples-entrades-múltiples-sortides (MIMO) i poden aplicar-se a múltiples problemes d'enginyeria, ja siguin mecànics, acústics, aeroespacials, etc. En aquest treball, aquests resultats també s'han il·lustrat amb l'aplicació ANC presentada i validat amb dades experimentals. Com a resultat d'aplicar aquestes mesures, s'obté la localització de S/A que aconsegueix la millor atenuació del soroll en llaç tancat amb el menor ordre possible del controlador. / Esta tesis presenta trabajo original y aplicado en el área del control y la colocación de sensores/actuadores (S/A) en sistemas de Control Activo de Ruido (ANC). Primero, se han aplicado técnicas de control e identificación robustas para conseguir ANC. La fase de identificación está basada en una propuesta de identificación robusta orientada al control, considerando descripciones del sistema tanto paramétricas como no-paramétricas, así como cuantificando la incertidumbre. El diseño del controlador compara las estructuras de control feedback (FB), feedforward (FF) e híbrida (FB/FF). El controlador feedback es sintetizado y evaluado en el marco del control robusto, y se ha diseñado utilizando control óptimo H∞ planteado como un problema de sensibilidades mixtas. El controlador FF es un identificador adaptativo, basado en el algoritmo σ robustamente normalizado. Se han desarrollado dos propuestas para decidir cual de las estructuras de control es más eficiente, aplicadas a un conducto de 4 metros con ruido de banda ancha. Además, se han mostrado de manera explícita los compromisos entre identificación y control, las limitaciones inherentes a un lazo feedback, así como cuestiones relativas a la implementación de sistemas ANC. También se han tratado otras cuestiones como la relación entre desempeño, orden del controlador, modelos paramétricos/no-paramétricos e implementación en procesadores digitales de señal (DSP), así como se han comparado resultados teóricos y experimentales en el conducto. Las lagunas que aún quedan entre teoría y práctica en este tipo de aplicaciones también se han resumido. Por otra parte, en este trabajo se trata también el problema de como cuantificar la colocación de sensores y actuadores, con la finalidad de controlar un sistema físico determinado. La medida para determinar la mejor localización de S/A se basa en un criterio de lazo cerrado orientado al control, el cual optimiza tanto desempeño como cuestiones prácticas de implementación. Esta medida debería calcularse antes del diseño, implementación y prueba del controlador. La utilización de esta medida minimiza la prueba combinatoria de controladores en todas las posibles combinaciones de S/A. Para conseguirlo, se han definido distintas medidas que pesan el desempeño potencial en lazo cerrado, la robustez, el número de condición de la planta (ganancias relativas entrada/salida (I/O)) y otras cuestiones de implementación, como el orden del controlador. Éstas pueden calcularse utilizando software estándar, tanto para modelos de una-entrada-una-salida (SISO) como para modelos de múltiples-entradas-múltiples-salidas (MIMO) y pueden aplicarse a múltiples problemas ingenieriles, ya sean mecánicos, acústicos, aeroespaciales, etc. En este trabajo, estos resultados también son ilustrados con la aplicación ANC presentada y validados con datos experimentales. Como resultado de aplicar estas medidas, se obtiene la localización de S/A que consigue la mejor atenuación de ruido en lazo cerrado con el menor orden posible del controlador. / This thesis presents novel and applied work in the area of control and sensor/actuator (S/A) allocation in Active Noise Control (ANC) systems. First, robust identification and control techniques to perform ANC have been applied. The identification phase is based on a control-oriented robust identification approach that considers both parametric and nonparametric descriptions of the system, and quantifies the uncertainty. The controller design compares the feedback (FB), feedforward (FF) and hybrid (FB/FF) control structures. The feedback control is synthesized and evaluated in the robust control framework, and it is designed using H∞ optimal control as a mixed-sensitivity problem. The FF controller is an adaptive identifier, based on the robustly normalized σ-algorithm. Two approaches are developed to decide which control structure is more efficient on a 4-m duct example with broadband noise. In addition, the compromises between identification and control, the inherent limitations of feedback and implementation issues in ANC are explicitly pointed out. Relations between performance, controller order, parametric/nonparametric models and digital signal processor (DSP) implementation are discussed. Theoretical and experimental results on the duct are compared. The gaps that still remain between theory and practice in this type of applications, are also outlined. Furthermore, this work considers the problem of quantifying the location of sensors and actuators in order to control a certain physical system. The measure to determine the best S/A location is based on a closed loop control-oriented criteria, which optimizes overall performance and practical implementation issues. In addition, it should be computed before the actual controller is designed, implemented and tested. The use of this measure minimizes the combinatorial controller testing over all possible S/A combinations. To this end, several measures have been defined which weight the potential closed-loop performance, robustness, plant condition number (input/output (I/O) relative gains) and implementation issues, such as the controller order. These may be computed with standard software, either for Single Input Single Output (SISO) models or Multiple Input Multiple Output (MIMO) models, and may be applied to many engineering problems: mechanics, acoustics, aerospace, etc. Here, these results are also illustrated with the prior ANC example and validated against experimental data. The outcome of applying these measures is the selection of the S/A location which achieves the best closed loop noise attenuation with the lowest possible controller order.

This work is focused on robust control theory especially on methods H and analysis (structured singular value). The first part of the thesis contains theoreticle background to uncertainty modeling, to robust controller designs and to permanent magnet synchronous machine modeling. The second part presents concrette robust controller design which is tested in simulations and validated on a real motor. The influence of parameter changes on stability of closed loop system is discussed and description of obtained results is given in conclusions.

La commande H∞ est de nos jours utilisée pour la régulation de nombreux systèmes. Cette technique de contrôle permet de synthétiser des lois de commande robustes, dans le sens où le comportement du système régulé est peu sensible aux perturbations externes. De plus, la commande H∞ permet de prendre en compte des incertitudes liés au modèle décrivant le système à réguler. Par conséquence, cette technique de contrôle est robuste vis-à-vis des perturbations et des incertitudes de modèle. Afin de synthétiser une loi de commande robuste, les spécifications des performances du système en boucle fermée sont traduites en critères H∞ à partir desquels est formulé un problème d'optimisation. La loi de commande est une solution de ce problème, qui est non convexe dans le cas général. Les deux principales approches pour la résolution de ce problème sont basées sur la reformulation convexe et les méthodes d'optimisations locales, mais ne garantissent pas l'optimalité de la loi de commande vis-à-vis des critères H∞. Cette thèse propose une approche de la commande H∞ par des méthodes d'optimisation globales, rarement considérées jusqu'à présent. Contrairement aux approches classiques, bien qu'au prix d'une complexité algorithmique supérieure, la convergence vers la loi de commande optimale est garantie par les méthodes globales. De plus, les incertitude de modèle sont prises en compte de manière garantie, ce qui n'est pas nécessairement le cas avec les approches convexes et locales. / H∞ control is nowadays used in many applications. This control technique enables to synthesize control laws which are robust with respect to external disturbances. Moreover, it allows to take model uncertainty into account in the synthesis process. As a consequence, H∞ control laws are robust with respect to both external disturbances and model uncertainty. A robust control law is a solution to an optimization problem, formulated from H∞ criteria. These criteria are the mathematical translations of the desired closed loop performance specifications. The two classical approaches to the optimization problem rely on the convex reformulation and local optimization methods. However, such approaches are unable to guarantee the optimality, with respect to the H∞ criteria, of the control law. This thesis proposes to investigate a global optimization approach to H∞ control. Contrary to convex and local approaches, global optimization methods enable to guarantee the optimality of the control, and also to take into account model uncertainty in a reliable way.

Segmented mirrors are to be used in the next generation of the ground-based optical telescopes to increase the size of the primary mirrors. A larger primary mirror enables the collection of more light, which results in higher image resolutions. The main reason behind the choice of segmented mirrors over monolithic mirrors is to reduce manufacturing, transportation, and maintenance costs of the overall system. However, segmented mirrors bring new challenges to the telescope design and control problem. The large number of inputs and outputs make the computations for centralized control schemes intractable. Centralized controllers also result in systems that are vulnerable to a complete system failure due to a malfunction of the controller. Distributed control is a viable alternative that requires the use of a network of simple individual segment controllers that can address two levels of coupling among segments and achieve the same performance objectives. Since segments share a common support structure, there exists a coupling among segments at the dynamics level. Any control action in one segment may excite the natural modes of the support structure and disturb other segments through this common support. In addition, the objective of maintaining a smooth mirror surface requires minimization of the relative displacements among neighbouring segment edges. This creates another level of coupling generally referred to as the objective coupling. This dissertation investigates the distributed H∞ control of the segmented next generation telescope primary mirrors in the presence of wind disturbances. Three distributed H∞ control techniques are proposed and tested on three segmented primary mirror models: the dynamically uncoupled model, the dynamically coupled model and the finite element model of Thirty Meter Telescope (TMT) project. It is shown that the distributed H∞ controllers are able to satisfy the stringent imaging performance requirements. / Graduate / 0548

Orientador: Alberto Luiz Serpa / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica / Made available in DSpace on 2018-08-24T00:36:50Z (GMT). No. of bitstreams: 1 Pereira_DanielAugusto_D.pdf: 10049171 bytes, checksum: 63439cd1c1df78b669ff99ba303ad488 (MD5) Previous issue date: 2013 / Resumo: Partindo-se do princípio de que detectar falhas em sistemas realimentados pode ser considerada tarefa difícil, nessa tese é proposto um método para detecção de falhas de sensores em estruturas flexíveis sujeitas a controle ativo de vibração. O método é baseado num esquema com banco de estimadores para geração de resíduos e no uso de indicadores para a análise quantitativa desses resíduos. O esquema de banco de estimadores permite o isolamento das falhas. Os estimadores utilizados são observadores de saída, filtros de Kalman e filtros H-infinito. Já os indicadores propostos são versões modificadas da diferença entre os valores RMS das saídas medidas e estimadas, a soma do módulo do erro de estimativa, a soma quadrática do erro de estimativa e o modal assurance criterion. É proposto um reescalamento dos indicadores e também um novo indicador, definido pelo produto das versões modificadas e reescaladas dos indicadores clássicos. Inicialmente a técnica foi validada em simulações, primeiro com um modelo de elementos finitos de uma estrutura de placa e posteriormente com um modelo de placa identificado experimentalmente, ambos sob controle ativo de vibração. Experimentos com a estrutura de placa também foram realizados e comprovaram a eficácia da técnica / Abstract: Assuming that fault detection in feedback systems can be considered a hard task, it is proposed in this thesis a method for sensor fault detection in flexible structures subjected to active vibration control. The method is based on a scheme with bank of estimators for residual generation and indicators for quantitative analysis of residues. The bank estimators scheme allows the fault isolation. The estimators used are output observers, Kalman filters and H-infinity filters. The proposed indicators are modified versions of the difference between RMS values of measured and estimated outputs, the sum of the modulus of the estimation error, the quadratic sum of the estimation error and the modal assurance criterion. It is proposed a rescaling of the indicators and also a new indicator, defined by the product of the modified and rescaled versions of classical indicators. Initially the technique is validated in simulations, first with a finite element model of a plate structure and latter with an experimentally identified plate model, both under active vibration control. Experiments with the plate were also performed and proved the effectiveness of the technique / Doutorado / Mecanica dos Sólidos e Projeto Mecanico / Doutor em Engenharia Mecânica

Sistemas de levitação magnética são inerentemente não-lineares e, quando con- trolados digitalmente, normalmente, esbarram em limitações do hardware empregado. O objetivo desta tese é apresentar aspectos teóricos e práticos durante a aplicação da teoria de controle H1 não-linear em sistemas de levitação magnética. A primeira con- tribuição desta tese é apresentar um procedimento de projeto de um controlador H1 não-linear que utiliza funções de ponderação com dinâmica, obtidas a partir do projeto de um controlador H1 linear. Assim como no caso linear, essas funções de ponderação possibilitam a rejeição de perturbações, ruídos de sensor, aumento da robustez, den- tre outras especificações. A segunda contribuição é apresentar um procedimento de conversão de uma rotina implementada em ponto-flutuante para ponto-fixo, utilizando minimização de norma l1, que foi implementada em um DSP de 32 bits em ponto- fixo. Resultados experimentais também são apresentados, nos quais a performance do controlador não-linear é especificamente avaliada na fase inicial de levitação. / Electromagnetic suspension systems are inherently nonlinear and often face hard- ware limitation when digitally controlled. The goal of this thesis is to present theoretical and practical aspects during the nonlinear H1 control applied on an electromagnetic suspension system. The first contribution is the design of a nonlinear H1 controller, including dynamic weighting functions, obtained from a linear H1 controller. Just as in the linear case, this dynamic weighting functions provide the disturbance and noise sensor rejection, robustness improvement, among other specifications. The second con- tribution is to present a procedure able to translate a floating-point algorithm into a fixed-point algorithm by using l1 norm minimization due to conversion error, which was then implemented into a 32-bit fixed-point DSP. Experimental results are also pre-sented, in which the performance of the nonlinear controller is evaluated specifically in the initial suspension phase.

Sistemas de levitação magnética são inerentemente não-lineares e, quando con- trolados digitalmente, normalmente, esbarram em limitações do hardware empregado. O objetivo desta tese é apresentar aspectos teóricos e práticos durante a aplicação da teoria de controle H1 não-linear em sistemas de levitação magnética. A primeira con- tribuição desta tese é apresentar um procedimento de projeto de um controlador H1 não-linear que utiliza funções de ponderação com dinâmica, obtidas a partir do projeto de um controlador H1 linear. Assim como no caso linear, essas funções de ponderação possibilitam a rejeição de perturbações, ruídos de sensor, aumento da robustez, den- tre outras especificações. A segunda contribuição é apresentar um procedimento de conversão de uma rotina implementada em ponto-flutuante para ponto-fixo, utilizando minimização de norma l1, que foi implementada em um DSP de 32 bits em ponto- fixo. Resultados experimentais também são apresentados, nos quais a performance do controlador não-linear é especificamente avaliada na fase inicial de levitação. / Electromagnetic suspension systems are inherently nonlinear and often face hard- ware limitation when digitally controlled. The goal of this thesis is to present theoretical and practical aspects during the nonlinear H1 control applied on an electromagnetic suspension system. The first contribution is the design of a nonlinear H1 controller, including dynamic weighting functions, obtained from a linear H1 controller. Just as in the linear case, this dynamic weighting functions provide the disturbance and noise sensor rejection, robustness improvement, among other specifications. The second con- tribution is to present a procedure able to translate a floating-point algorithm into a fixed-point algorithm by using l1 norm minimization due to conversion error, which was then implemented into a 32-bit fixed-point DSP. Experimental results are also pre-sented, in which the performance of the nonlinear controller is evaluated specifically in the initial suspension phase.

One way to make rail vehicles a competitive means of transportation is to increase running speed. However, higher speeds usually generate increased forces and accelerations on the vehicle, which have a negative effect on ride comfort. With conventional passive suspension, it may be difficult to maintain acceptable passenger comfort. Therefore, active technology in the secondary suspension can be implemented to improve, or at least maintain, ride comfort at increased vehicle speeds or when track conditions are unfavourable. This thesis describes the development of an active secondary suspension concept to improve ride comfort in a high-speed train. Firstly, an active lateral secondary suspension system (ALS) was developed, including dynamic control of the lateral and yaw modes of the carbody. Furthermore, quasi-static lateral carbody control was included in the suspension system in order to laterally centre the carbody above the bogies in curves at high track plane acceleration and hence to avoid bumpstop contact. By means of simulations and on-track tests, it is shown that the ALS system can offer significant lateral ride comfort improvements compared to a passive system. Two different control strategies have been studied—the relatively simple sky-hook damping and the multi-variable H∞ control—using first a quarter-car and then a full-scale vehicle model. Simulation results show that significant ride comfort improvements can be achieved with both strategies compared to a passive system. Moreover, H∞ control in combination with the carbody centring device is better at reducing the relative lateral displacement in transition curves compared to sky-hook damping. Secondly, an active vertical secondary suspension system (AVS) was developed, using simulations. Dynamic control of the vertical and roll modes of the carbody, together with quasi-static roll control of the carbody, show significant vertical ride comfort improvements and allow higher speeds in curves. Further, the AVS system compensates for negative ride comfort effects if the structural stiffness of the carbody is reduced and if the vertical air spring stiffness is increased. Finally, the two active suspension systems (ALS and AVS) were combined in simulations. The results show that both lateral and vertical ride comfort is improved with the active suspension concept at a vehicle speed of 250 km/h, compared to the passive system at 200 km/h. Further, active suspension in one direction does not affect the other direction. The ALS system has been included in two recent orders comprising more than 800 cars. / QC 20111205 / Gröna Tåget

Nous présentons dans cette thèse les différentes étapes de conception d'une plateforme microrobotique dédiée au positionnement sous faisceau de lumière d'objets de dimensions micrométriques. Cette plateforme a pour vocation de mettre en oeuvre des méthodologies d'asservissement et de suivi de position de micro-objets placés au coeur même d'un faisceau de lumière. L'objectif final étant de caractériser des micro/nano-matériaux par diffraction et diffusion des rayons X. Les différentes contraintes technologiques rencontrées par les systèmes de micro-nanomanipulation actuels en environnement synchrotron nous ont amené à concevoir une plateforme microrobotique de manipulation duale utilisant des sondes de microscope à force atomique (AFM). Diverses méthodologies de préhension avec une ou deux sondes AFM avec capteur de force intégré - ont été proposées en vue d'évaluer chacune d'entre-elles dans un contexte de positionnement tridimensionnel. Une stratégie de commande des micromanipulateurs à double étage est mise en oeuvre pour assurer l'asservissement de position des sondes AFM lors des tâches d’approche et de transport du micro-échantillon sous test. Afin d’augmenter la robustesse de positionnement vis-à-vis des erreurs de modélisation, des perturbations extérieures et des bruits de mesure, nous avons proposé une commande robuste de type H∞, avec optimisation des paramètres de pondération à partir d’algorithmes génétiques. De plus, les erreurs aléatoires d’alignement du faisceau de lumière avec l’objet sont corrigées en temps-réel par l’utilisation d’estimateurs de position (filtres de Kalman et particulaire). Finalement, des tâches microrobotiques automatisées de micro-préhension, de transport et de positionnement de microobjets sphériques de 8 μm de diamètre placés sous faisceau de lumière laser ont été réalisées avec succès. Le « benchmark » proposé est en cours de transfert au sein du European Synchrotron Radiation Facility (ESRF) à Grenoble pour validation sous faisceau de rayons X. / We present in this thesis the various stages in the design of a microrobotics platform dedicated to the manipulation of micro/nano objects in a synchrotron environment. It is composed of dual micro/nano manipulators in order to handle and to maintain a micro/nano-sample through the focus of a X-ray or laser beam for material characterization and analysis. The main idea is to control and to drive in a robust way the micro/nanomanipulators by focusing the beam on the center part of the handled micro-object. A microgripper based on two Atomic Force Microscope (AFM) tips with integrated piezoresistive force sensors is proposed. First, the dual manipulators are controlled cooperatively by combining the different actuator dynamics to track a laser beam with nanometer precision. A robust control strategy based on H∞ control ensures a robust microhandling task under the focus of the laser beam whatever the external perturbations involved and parametric model uncertainties. The Genetic Algorithm (GA) approach is used to compute the parameter weighting functions in to obtain an optimal H∞ controller. Then, we propose to compensate the laser beam variations (thermal drift, mechanical variations) by estimating the position of the laser beam using stochastic estimators (Kalman and particle filters). To this aim, the maximum intensity of the laser beam is measured and tracked in real-time by a four-quadrant photodiode sensor. Finally, experimental results performed of micro-spheres (diameter: 8 μm) demonstrate the robustness of the robotic microhandling tasks using the proposed control scheme strategy.