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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
71

Contribution à l'étude de la stabilité et à la stabilisation des réseaux DC à récupération d'énergie / Contribution to the stability analysis and stabilization of DC microgrid with energy storage capability

Magne, Pierre 30 April 2012 (has links)
Ce mémoire est consacré à l'étude du phénomène d'instabilité pouvant apparaître sur les bus continus des réseaux DC. En effet, l'interaction entre les différents sous-systèmes électriques (source, charge, filtre) composant le réseau DC peut conduire, sous certaines conditions, à l'instabilité du système. A partir de la modélisation des charges sous forme de "Charge à Puissance Constante" (notée CPL), des méthodes d'études permettant l'analyse de la stabilité "petit-signal" et "grand-signal" des systèmes électriques sont présentées. Celles-ci permettent de mettre en évidence le fait qu'un réseau DC ne peut pas fournir n'importe quelle puissance à ses charges sans devenir instable. Ces puissances limites dépendent à la fois de la structure du réseau et des valeurs de ses éléments passifs et de sa tension de bus. Afin de pouvoir augmenter l'amortissement/les marges de stabilité du système, des méthodes de stabilisation sont présentées dans ce mémoire. Elles proposent d'adapter les commandes des charges de manière à assurer sa stabilité. Ceci se fait grâce à l'addition d'un signal stabilisant sur la référence de chaque charge. Ce signal n'est visible que durant les régimes transitoires de la charge afin de ne pas modifier le point de fonctionnement demandé. Néanmoins, plus on voudra stabiliser une charge et plus son signal stabilisant sera important. Un bon compromis doit donc être trouvé afin d'assurer la stabilité du système sans altérer les performances dynamiques des charges. Deux approches différentes sont proposées afin de générer ces commandes stabilisantes. La première se base sur la mise en place d'un stabilisateur centralisé. Deux méthodes centralisées sont alors proposées : la première s'appuie sur la théorie des multimodèles de Takagi-Sugeno alors que la seconde s'appuie sur la théorie de Lyapunov. Cette dernière permettra d'orienter les efforts de stabilisation sur les charges souhaitées pour par exemple, les diriger principalement vers les organes de récupération d'énergie. La seconde approche se base sur la mise en place d'un système de stabilisation multi-agent. Celui-ci présente une structure décentralisée où chaque agent correspond à un bloc de stabilisation. Ceux-ci vont compenser localement les impacts déstabilisants de leur charge respective et leurs actions combinées permettront d'assurer la stabilité du système. De plus, on propose d'utiliser un algorithme d'optimisation sous contraintes qui permettra de donner un dimensionnement du système minimisant les efforts de stabilisation tout en considérant des cas de défaut tels que la perte de l'un des agents ou la reconfiguration du réseau / This thesis is devoted to the analysis of the instability phenomenon that may appear on the DC bus of DC microgrids. Indeed, interaction between the different electrical subsystems of the grid (source, load, filters) can lead, under certain conditions, to the system instability. From the "Constant Power Load" (CPL) hypothesis for the loads, this thesis presents studying methods for "small-signal" and "large-signal" stability analysis of electrical systems. This highlights that a DC microgrid cannot power the loads more than a maximum limit without becoming unstable. This power limitation depends on the structure of the grid, the value of its passive components, and its bus voltage. In order to improve the microgrid stability, stabilization methods are presented in this thesis. They propose to adapt the loads control to ensure the system stability. This is achieved by the addition of a stabilizing signal to the reference of each load. This signal is only visible during the load power transient mode to not change the requested operating point. However, a good trade-off must be found to ensure system stability without affecting the dynamic performance of its loads. Two approaches are investigated to generate the stabilizing commands. The first one is based on the establishment of a centralized stabilization block. Two centralized methods have been developed: the first one is based on the Takagi-Sugeno theory while the second is based on the Lyapunov theory. This latest permits to guide the stabilizing effort on the desired loads. For example, stabilizing effort can be oriented on the energy storage device. The second approach is based on the establishment of a multi-agent stabilizing system. It consists of a decentralized structure in which each agent corresponds to a stabilization block. These will locally compensate the destabilizing impact of their respective load on the microgrid, and their combined actions ensure the system stability. To design the system, the use of a constrained optimization algorithm is proposed. This permits to minimize stabilization efforts while considering faulty events such as the failure of one of the agents or a reconfiguration of the microgrid
72

Contribution à l'étude de la stabilité des systèmes électrotechniques / Contribution to the study of the stability of the electrotechnical systems

Marx, Didier 12 November 2009 (has links)
Dans cette thèse différents outils issus de l'automatique non linéaire ont été mis en œuvre et ont permis d'apporter une première solution au problème de stabilité large signal des dispositifs électriques. A l'aide de modèles flous de type Takagi-Sugeno, on a montré qu'il était possible de résoudre le problème de stabilité dans le cas de deux applications électrotechniques à savoir un hacheur contrôlé en tension et l'alimentation par l'intermédiaire un filtre d'entrée d'un dispositif électrique fonctionnant à puissance constante. Dans le cas du hacheur, la taille estimée des bassins d'attraction reste modeste. Les raisons essentielles à l'échec obtenu dans la recherche de bassin de grande taille peut résulter dans le fait que d'une part , la mise sous forme TS du système n'est pas unique et que d'autre part les matrices du sous modèle TS du système ne sont de Hurwitz que dans une gamme très restreinte de variations du rapport cyclique. Dans le cas de l'alimentation par l'intermédiaire d'un filtre d'entrée d'un dispositif fonctionnant à puissance constante, on a montré que l'utilisation d'un modèle flou de type Takagi-Sugeno permettait d'exhiber un domaine d'attraction de taille significative. On a fourni des outils permettant de borner la plage de variations des pôles du système dans un domaine donné de l'espace d'état, domaine dans lequel la stabilité du modèle TS est prouvée. L'utilisation de la D-stabilité permet de connaitre les dynamiques maximales du système. La notion de stabilité exponentielle permet de connaître les dynamiques minimales du système. L'approche utilisée pour prouver la stabilité du système en présence de variations paramétriques, pour les deux systèmes étudiés, n'autorise que des variations extrêmement faibles de la valeur du paramètre autour de sa valeur nominale / In this thesis, various tools resulting from the nonlinear automatic were implemented and made it possible to bring a first solution to the problem of large signal stability of the electric systems. Using Takagi-Sugeno fuzzy models, one showed that it was possible to in the case of solve the problem of stability two electrotechnical applications to knowing a Boost converter controlled in tension and an electric system constituted by an input filter connected to an actuator functioning at constant power. In the case of the Boost converter, the estimated size of attraction domain remains modest. The reasons essential with the failure obtained in the search for domain of big size can result in the fact that on the one hand, the setting TS fuzzy models of the system is not single and that on the other hand the matrices of local model of TS model of the system are of Hurwitz only in one very restricted range of variations of the cyclic ratio. In the case of the electric system via a filter of entry of a functioning device at constant power, one showed that the use of a Takagi-Sugeno fuzzy model allowed exhibit a attraction domain of significant size. One provided tools allowing to limit the variations of the poles of the system in a given field of the state space, domain in which the stability of model TS is proven. The use of D-stability makes it possible to know dynamic maximum system. The concept of exponential stability makes it possible to know dynamic minimal system. The approach used to prove the stability of the system in the presence of parametric variations, for the two studied systems, authorizes only extremely weak variations of the value of the parameter around its maximal value
73

Outils de commande avancés pour les applications automobiles / Advanced control design tools for automotive applications

Nguyen, Tran Anh-Tu 02 December 2013 (has links)
Cette thèse est consacrée au développement de techniques de commande avancées pour des classes de systèmes non linéaires en général et pour des applications automobiles en particulier.Pour répondre au besoin du contrôle moteur, la première partie propose des nouveaux résultats théoriques sur la technique de commande non linéaire à base de modèles de type Takagi-Sugeno soumis à la saturation de la commande. La saturation de la commande est traitée en utilisant sa représentation polytopique ou une stratégie anti-windup.La deuxième partie porte sur la commande du système d'air d'un moteur turbocompressé à allumage commandé. Deux approches originales sont proposées. Dans la première, l'outil théorique concernant les modèles Takagi-Sugeno à commutation développé dans la première partie est directement appliqué. La seconde approche est basée sur une commande linéarisante robuste. L'originalité de ces approches multivariables consiste dans sa simplicité de mise en œuvre et son efficacité par rapport à celles qui existent dans la littérature.La dernière partie vise à développer des stratégies pour la gestion énergétique des systèmes électriques d'un véhicule obtenues en se basant sur le Principe du Minimum de Pontryagin. À cet effet, deux approches sont considérées : l'approche hors ligne d'optimisation utilisant les informations du futur concernant les conditions de roulage et l'approche en ligne qui est adaptée de la précédente. Ensuite, ces deux approches sont implémentées et évaluées dans un simulateur avancé. / This thesis addresses the development of some advanced control design tools for a class of nonlinear systems in general and for automotive systems in particular.Motivated by automotive applications, Part I proposes some novel theoretical results on control design for nonlinear systems under Takagi-Sugeno form subject to the control input saturation. The input saturation is dealt with by using its polytopic representation or an anti-windup strategy.Part II deals with our automotive application concerning the control of a turbocharged air system of a spark ignition engine. To this end, two novel control approaches are proposed in this part. For the first one, the theoretical design tool on switching Takagi-Sugeno controller developed in Part I is directly applied. The second one is based on a robust feedback linearization control technique. The originality of these MIMO approaches consist in their simplicity and effectiveness compared to other ones existing in the literature.Part III aims at developing the strategies, which are based on the Pontryagin's Minimum Principle in optimal control theory, for the energy management of the vehicular electric power systems in a hybrid engine configuration. To this end, both offline optimization approach using the future information of driving conditions and online implementable one have been developed and evaluated in an advanced simulator.
74

Controle chaveado de sistemas com incertezas utilizando otimizadores não derivativos /

Silva, Paulo Henrique Gonçalves Leonel da. January 2020 (has links)
Orientador: Marcelo Carvalho Minhoto Teixeira / Resumo: Nesta tese, utiliza-se um otimizador analógico não derivativo proposto por Teixeira & Żak em 1999 como principal ferramenta para os sistemas de controle dos projetos desenvolvidos. Tal otimizador é composto por blocos não lineares e pode ser classificado como um sistema neural artificial. Sistemas chaveados têm grande aplicação prática na otimização de sistemas e são caracterizados por possuírem subsistemas e uma lei de chaveamento que seleciona cada subsistema a cada momento. Deve-se definir condições para que seja possível projetar uma lei de chaveamento que atenda requisitos de projeto. O estudo de técnicas de controle extremal na solução de problemas de busca pelo rastreamento do máximo ponto de potência (do inglês: Maximum Power Point Tracking - MPPT), vem apresentando resultados interessantes na literatura e um tipo de sistema à qual essa técnica pode ser aplicada, é na geração fotovoltaica. Aplica-se o otimizador analógico citado na busca do MPPT de uma célula fotovoltaica, com o objetivo de observar o controle extremal atuando em um processo de otimização, estendendo o controle para quando existem variações de irradiação solar (cenário de uma possível passagem de nuvens). Também observa-se o comportamento do sistema quanto a manter seu correto funcionamento e estabilidade ultimate bounded. A contribuição principal desta tese foi uma nova proposta de utilização conjunta do otimizador de Teixeira & Żak no projeto de controladores ˙ chaveados baseados na minimização da d... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: On this thesis, a non-derivative analog optimizer, proposed by Teixeira & Żak in 1999, was used as the main tool for the proposed control system. Such optimizer is structured by nonlinear blocks and can be classified as an artificial neural system. Switched systems have great theoretical and practical application in systems optimization and are characterized by having subsystems, and a switching law that selects each subsystem at each moment. It is necessary to define conditions so that it is possible to design a switching law for the desired performance of the controlled system. The study of Extremum Seeking Control techniques in the solution of problems of Maximum Power Point Tracking has presented interesting results, and one type of system which this technique can be applied is in the photovoltaic generation. The analog optimizer is applied in the Maximum Power Point Tracking of a photovoltaic cell, with the objective of observing the actuation of the extremal seeking control in an optimization process, extending the control when there are solar irradiation variations (a possible clouds passage scenario). And also observe the behavior of the system and how to maintain its correct functioning and ultimate bounded stability. The main contribution of this thesis was a new procedure for using the mentioned analog optimizer in the design of switched controllers based on the minimization of the derivative of a Lyapunov function. This method allows the relaxed design of controll... (Complete abstract click electronic access below) / Doutor
75

Amélioration de l'agrément de conduite via le pilotage du groupe motopropulseur / Vehicle driveability improvement by the powertrain control

Tran, Van Nhu 07 June 2013 (has links)
La transmission à double embrayage a été introduite dans les véhicules afin d'améliorer le confort de conduit, l'économie de conduite et de diminuer le temps de changement de vitesses. La gestion du double embrayage joue un rôle important sur le confort de conduite. L'objectif principal de ce travail concerne alors la synthèse des lois de commande du double embrayage en phase de décollage et lors du changement de vitesses. Le mémoire est structuré de la façon suivante : le premier chapitre propose un état de l'art sur le groupe motopropulseur, la modélisation et la commande du groupe motopropulseur. Le second chapitre s'intéresse à la modélisation du groupe motopropulseur à double embrayage : dans une première partie, un modèle complet à simuler est développé, puis la deuxième partie propose une simplification de modèle en vue de la commande. Le troisième chapitre aborde les lois de commande du double embrayage en utilisant la technique de commande par mode glissant pour les systèmes multivariables. Le quatrième chapitre propose l'utilisation des modèles flous du type Takagi-Sugeno pour la synthèse des lois de commande. Dans une première partie, des lois de commande basées sur un modèle Takagi-Sugeno prenant en compte des incertitudes et des perturbations sont établies. Afin d'améliorer la performance de la loi de commande lors du changement de vitesses supérieures, la deuxième partie présente une loi de commande basée sur un modèle de Takagi-Sugeno incertain et perturbé à commutations. Enfin, des résultats de simulation obtenus en considérant le modèle complet développé dans le chapitre 2 sont donnés. / Dual clutch transmission systems were introduced in vehicles to upgrade the driving comfort, the energy economy, and to minimize the shift time. Dual clutch management is a key point when considering driving comfort, particularly during the gearshift. Thus, the main objective of this work is the synthesis of control laws for dual clutch transmission during launch and gearshift. The first chapter presents an overview about vehicle powertrain, modeling and control. The second chapter focuses on modeling the dual clutch transmission. In a first part a complete model for simulation is developed, and in a second part, the model is simplified for the laws control design. The third chapter proposes control laws of the dual clutch using sliding mode control approach for a MIMO system. The fourth chapter deals with the application of state feedback control based on Takagi-Sugeno model. The first part proposes control laws taking into account uncertainties and disturbances. In order to improve the performance of the control law during upshifting, the second part proposes a control law based on a switched Takagi-Sugeno fuzzy model in the presence of parametric uncertainties and disturbances. Finally, control laws are tested in simulation on the complete model developed in Chapter 2.
76

Coopération Homme Machine pour la conduite automatisée : une approche par partage haptique du contrôle / Human-Machine Cooperation for automatic driving : an haptical sharing control approach

Soualmi, Boussaad 16 January 2014 (has links)
Le travail présenté dans la thèse s’inscrit dans le projet de recherche partenarial ANR-ABV 2009 dont l’objet est la conception d’un système de conduite automatisée à basse vitesse. Il décrit et analyse les principes d’un contrôle partagé d’un véhicule automobile entre un conducteur humain et un copilote électronique (E-copilote). L’objectif est de mettre en place une coopération Homme-Machine efficace entre le conducteur et l’E-copilote. Un des enjeux est notamment de permettre au conducteur d’interagir avec l’E-copilote de façon continue pour pouvoir exécuter les manœuvres qu’il souhaite sans nécessiter la désactivation ni être gêné par l’E-copilote. Cet enjeu répond au besoin de prise en compte des actions du conducteur entreprises pour pallier celles du E-copilote dans certaines situations par exemple éviter un obstacle non perçu par le système. L’objectif dans ce cas est de garantir le confort au conducteur ainsi que sa conscience du mode engagé (système actif ou pas). Le conducteur et l’E-copilote agissant simultanément sur le système de direction, chacun doit être conscient des actions de l’autre : une communication bidirectionnelle est essentielle. Pour atteindre cet objectif, nous avons retenu les interactions haptiques à travers le système de direction du véhicule. Le couple appliqué par le conducteur sur volant est utilisé par l’E-copilote pour prendre en compte ces actions de la même façon que le couple produit par l’E-copilote est ressenti par le conducteur et utilisé pour comprendre le comportement du système. D’autres aspects essentiels pour la coopération H-M ont également été abordés : l’´étude des changements de modes de fonctionnement du système ainsi que l’IHM via laquelle le conducteur interagit avec le système. / The work presented in the thesis is part of the research partnership project ANRABV 2009 which aims is to design an automated low-speed driving. It describes and analyzes the principles of shared control of a motor vehicle between a human driver and an electronic copilot (E-copilot). The objective is to establish effective human-machine cooperation between the driver and E-copilot. One issue is particular to allow the driver to interact with the E-copilot continuously in order to perform maneuvers he wants without requiring deactivation neither constrained by E-copilot. This issue addresses the need for consideration of driver actions taken to remedy those of E-copilot for example avoiding undetected obstacle by the system while ensuring operator comfort and the driver situation awareness. The driver and E-co-pilot acting simultaneously on the steering system, everyone must be aware of the actions of the other: twoway communication is essential. To achieve this goal, we used the haptic interactions through the steering system of the vehicle. The torque applied by the driver on the steering wheel is used by the E-copilot to take into account these actions as the torque produced by the E-copilot is felt by the driver and used to understand the system’s behavior. Other key issues for the Human-Machine Cooperation were also discussed: the study of changes in modes of operation of the system and HMI via which the driver interact with the system.
77

Synthèse de contrôleurs avancés pour les systèmes quasi-LPV appliqués au contrôle de moteurs automobiles / Advanced controller design for quasi-LPV systems applied to automotive engine control

Laurain, Thomas 04 December 2017 (has links)
Ma thèse en automatique s’inscrit dans la thématique de recherche «Transport» du LAMIH. L’objectif est d’améliorer le fonctionnement des moteurs thermiques (essence), notamment en réduisant la consommation et la pollution. Face à cet enjeu écologique et économique, et compte tenu des nouvelles normes et des stratégies court-termistes de l’industrie (scandale Volkswagen...), de nouveaux contrôleurs doivent être conçus pour piloter l’arrivée d’air et d’essence au sein du moteur. En considérant l’aspect hautement non-linéaire du système, la représentation Takagi-Sugeno et le background théorique du LAMIH sont utilisés. Un premier contrôleur est synthétisé pour régler le problème de la vitesse de ralenti du moteur. Cependant, la complexité du système impose l’utilisation d’un contrôleur très coûteux d’un point de vue computationnel. Un contrôleur alternatif est donc synthétisé afin d’être implémenté dans l’ordinateur embarqué du moteur. Un second contrôleur est obtenu pour maintenir la richesse en proportions stoechiométriques afin de réduire la pollution. Ce système étant sujet à un retard de transport variable, un changement de domaine est réalisé afin de rendre ce retard constant, et de concevoir un contrôleur simple et efficace. Des essais réels sur le banc d’essai moteur du LAMIH sont réalisés afin de valider la méthodologie présentée. / My PhD in Automatic Control is part of the research theme “Transport” of the LAMIH. The objective is to improve the functioning of the gasoline engines, mainly by reducing the fuel consumption and the pollution. With this ecologic and economic challenge, and taking into account the new norms and the short-term strategies of the industry (scandal of Volkswagen...), new controllers have to be designed to control the air valve and the fuel injection inside the engine. Considering the highly nonlinear aspect of the system, the Takagi-Sugeno representation and the theoretical background of the LAMIH have been used. A first controller is designed to solve the problem of idle engine speed. However, the complexity of the system forces the use of a controller that is very costly from a computational point of view. An alternative controller is then designed in order to be implemented inside the embedded computer of the engine. A second controller is obtained to maintain the air-fuel ratio in stoichiometric proportions in order to reduce the pollution. This system being subject to a variable transport delay, a change of domain is realized to make this delay constant, and to design a simple and efficient controller. Real-time experiments have been realized on the engine test bench of the LAMIH in order to validate the presented methodology.
78

Controle fuzzy via alocação de pólos com funções de Lyapunov por partes / Fuzzy pole placement based on piecewise Lyapunov functions

Tognetti, Eduardo Stockler 31 March 2006 (has links)
O presente trabalho apresenta um método de projeto de controlador com alocação de pólos em sistemas fuzzy utilizando funções de Lyapunov por partes e contínuas no espaço de estado. A idéia principal é utilizar controladores chaveados no espaço de estado para obter uma resposta transitória satisfatória do sistema, obtida pela localização dos pólos. A modelagem fuzzy Takagi-Sugeno é utilizada para representar um sistema não-linear em diversos pontos de linearização através de uma aproximação por vários modelos locais lineares invariantes no tempo. A análise de estabilidade e o projeto de sistemas de controle podem se formulados em termos de desigualdades matriciais lineares (em inglês, linear matrix inequalities (LMIs)), as quais são resolvidas por técnicas de programação convexa. Na análise de estabilidade ou na síntese de um controlador em sistemas fuzzy é necessário resolver um número determinado de LMIs de acordo com o número de modelos locais. Encontrar uma função de Lyapunov comum a todos os modelos locais pode ser inviável, especialmente quando se impõem critérios de desempenho, que aparecem como restrições no contexto de LMIs. A proposta de uma função de Lyapunov por partes objetiva diminuir o conservadorismo na busca de um controlador que leve os pólos de malha fechada à uma região desejada. Resultados de análise e síntese da teoria de sistemas lineares por partes contribuíram para a construção do resultado apresentado. Exemplos com simulação ilustram o método proposto. / This work presents a controller design method for fuzzy dynamic systems based on piecewise Lyapunov functions with constraints on the closed-loop pole location. The main idea is to use switched controllers to locate the poles of the system to obtain a satisfactory transient response. The pole placement strategy allows to specify the performance in terms of the desired time response of the feedback system. The Takagi-Sugeno fuzzy model can approximate the nonlinear system in several linearization points using linear time invariant systems. Thus, a global fuzzy model can be obtained from a fuzzy combination of these linear systems. Stability analysis and design of fuzzy control systems can be efficiently carried out in the context of linear matrix inequalities (LMIs). If the fuzzy system is described by many local models, the resulting set of LMIs may be infeasible. The search for a Lyapunov function in the fuzzy pole placement problem may be easier to be satisfied in a piecewise framework. Some results from piecewise linear systems theory have contributed to the development of the presented technique. Some examples are given to illustrate the proposed method.
79

Controle fuzzy via alocação de pólos com funções de Lyapunov por partes / Fuzzy pole placement based on piecewise Lyapunov functions

Eduardo Stockler Tognetti 31 March 2006 (has links)
O presente trabalho apresenta um método de projeto de controlador com alocação de pólos em sistemas fuzzy utilizando funções de Lyapunov por partes e contínuas no espaço de estado. A idéia principal é utilizar controladores chaveados no espaço de estado para obter uma resposta transitória satisfatória do sistema, obtida pela localização dos pólos. A modelagem fuzzy Takagi-Sugeno é utilizada para representar um sistema não-linear em diversos pontos de linearização através de uma aproximação por vários modelos locais lineares invariantes no tempo. A análise de estabilidade e o projeto de sistemas de controle podem se formulados em termos de desigualdades matriciais lineares (em inglês, linear matrix inequalities (LMIs)), as quais são resolvidas por técnicas de programação convexa. Na análise de estabilidade ou na síntese de um controlador em sistemas fuzzy é necessário resolver um número determinado de LMIs de acordo com o número de modelos locais. Encontrar uma função de Lyapunov comum a todos os modelos locais pode ser inviável, especialmente quando se impõem critérios de desempenho, que aparecem como restrições no contexto de LMIs. A proposta de uma função de Lyapunov por partes objetiva diminuir o conservadorismo na busca de um controlador que leve os pólos de malha fechada à uma região desejada. Resultados de análise e síntese da teoria de sistemas lineares por partes contribuíram para a construção do resultado apresentado. Exemplos com simulação ilustram o método proposto. / This work presents a controller design method for fuzzy dynamic systems based on piecewise Lyapunov functions with constraints on the closed-loop pole location. The main idea is to use switched controllers to locate the poles of the system to obtain a satisfactory transient response. The pole placement strategy allows to specify the performance in terms of the desired time response of the feedback system. The Takagi-Sugeno fuzzy model can approximate the nonlinear system in several linearization points using linear time invariant systems. Thus, a global fuzzy model can be obtained from a fuzzy combination of these linear systems. Stability analysis and design of fuzzy control systems can be efficiently carried out in the context of linear matrix inequalities (LMIs). If the fuzzy system is described by many local models, the resulting set of LMIs may be infeasible. The search for a Lyapunov function in the fuzzy pole placement problem may be easier to be satisfied in a piecewise framework. Some results from piecewise linear systems theory have contributed to the development of the presented technique. Some examples are given to illustrate the proposed method.
80

Projeto de um controlador Fuzzy Takagi-Sugeno para uma estação de tratamento de esgoto por lodos ativados

OLIVEIRA FILHO, José Haroldo Sena de 24 January 2013 (has links)
Submitted by Cleide Dantas (cleidedantas@ufpa.br) on 2014-03-07T15:37:09Z No. of bitstreams: 2 license_rdf: 23898 bytes, checksum: e363e809996cf46ada20da1accfcd9c7 (MD5) Dissertacao_ProjetoControladorFuzzy.pdf: 1593015 bytes, checksum: 724013024cfa0539e49ad1f252cc7559 (MD5) / Approved for entry into archive by Ana Rosa Silva (arosa@ufpa.br) on 2014-05-13T17:01:18Z (GMT) No. of bitstreams: 2 license_rdf: 23898 bytes, checksum: e363e809996cf46ada20da1accfcd9c7 (MD5) Dissertacao_ProjetoControladorFuzzy.pdf: 1593015 bytes, checksum: 724013024cfa0539e49ad1f252cc7559 (MD5) / Made available in DSpace on 2014-05-13T17:01:18Z (GMT). No. of bitstreams: 2 license_rdf: 23898 bytes, checksum: e363e809996cf46ada20da1accfcd9c7 (MD5) Dissertacao_ProjetoControladorFuzzy.pdf: 1593015 bytes, checksum: 724013024cfa0539e49ad1f252cc7559 (MD5) Previous issue date: 2013 / Este trabalho propõe o projeto de um controlador Fuzzy do tipo Takagi-Sugeno em uma estação de tratamento de esgoto por lodos ativados. Este tipo de tratamento ocorre na presença de oxigênio, pois microorganismos aeróbios presentes no licor misto irão proporcionar a remoção tanto da matéria carbonácea quanto nutrientes formados por compostos à base de nitrogênio. O controlador atua via mecanismo de aeração e foi projetado para interpolar os ganhos proporcionais e integrativos de três controladores fixos locais que, por sua vez, foram projetados a partir da linearização de um modelo contínuo de balanço de massa de oxigênio. O controlador auxiliará manter a concentração de oxigênio dissolvido desejável na faixa de operação do processo para que ocorra a nitrificação, reação química de oxiredução que transforma amônio em nitrito, que é fundamental para o sucesso do processo, e poderá também economizar energia elétrica utilizada pelo mecanismo de aeração. Os ensaios foram realizados via simulação computacional em quatro cenários idealizados comparando o desempenho do controlador fuzzy e o desempenho de um controlador fixo projetado em um ponto de operação diferente do qual se utilizou como valor de referência na planta. Ao aplicar um degrau no valor de referência estabelecido no cenário de análise, observou-se o tempo de subida, o tempo de acomodação e o erro em regime. Após os ensaios, observou-se que o desempenho do controlador fuzzy nos quesitos tempo de subida e tempo de acomodação em relação ao controlador fixo foi melhor, enquanto nos quesitos sobressinal e erro em regime foi semelhante. Após as análises, concluiu-se que a estratégia de controle escolhida neste trabalho é viável, pois de acordo com o valor auferido de oxigênio dissolvido na entrada da planta, o controlador fuzzy irá interpolar os ganhos proporcionais e integrativos de um controlador fixo projetado na vizinhança deste valor e assim, atuar de forma bastante satisfatória. / The mean goal of this work is the design of a Takagi-Sugeno fuzzy controller on an activated sludge wastewater treatment plant. This kind of process requires oxygen and aerobic microorganisms in the mixed liquor that are necessary to remove the carbonaceous matter and the nutrients based on nitrogen compounds. The controller acts on the aeration valve engine and has been designed to interpolate the proportional and integrative gain of three fixes controllers designed from the linearization of a continuous model of oxygen mass balance. The controller assists to keep the desirable dissolved oxygen concentration necessary to the nitrification, an oxi-reduction chemical reaction that transforms ammonia into nitrite and it is also possible to save electric energy used by the aeration engine. It is imperative the nitrification occurs for the success of the whole process. The Assays were performed by computerized simulation in four idealized scenarios analyzing the performances of the fuzzy controller and the fix controller designed to a different operation point of the set point defined in the plant. Applying a degree in the set point established in the scenario it was analyzed the rise time, settling time, overshoot and steady-state error. After the assays, the fuzzy controller performed better than the fix one at rise time and settling time criteria and equivalent performance at overshoot and steady-state error. After analysis, it was conclude that the control strategy chosen in the work is viable, according the dissolved oxygen measure at the plant entrance, the fuzzy controller interpolate the proportional and integrative gains of a fix controller designed near this value and thus act quite satisfactory.

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