Fault Tolerant Control For Singular Systems And Singular Stochastic Systems  Posted on:20081207  Degree:Doctor  Type:Dissertation  Country:China  Candidate:A Q Zhang  Full Text:PDF  GTID:1118360272466938  Subject:Control theory and control engineering  Abstract/Summary:  PDF Full Text Request  Singular systems is a kind of dynamics systems, which is more general and more natural to represent and to handle practical model such as power systems, economic systems, robotic systems, electrical network systems, astronavigation systems, and so on. The research on singular systems is of important theoretical meaning and practical significance. In the last three decades, there have been a lot of achievements on the stability, controllability, observerability etc, but few efforts were paid to fault tolerant control for singular systems. So there is great space for the development of fault tolerant control for singular systems. In the light of theoretical results of singular systems and that of fault tolerant control for normal systems, we provide a study on the theory of fault tolerant control for singular systems and singular stochastic systems.In practical engineering, except for Lyapunov stability, we paid more attention to the behavior of the systems over a fixed finite time interval, which is called finite time control problems. An observerbased finitetime control problem for linear singular systems is considered. By using generalized stateobserver theory, we design the observerbased state feedback controller, which guarantees that the resultant closedloop system is impulse free and finitetime stable. Moreover, this paper deals with the finitetime faulttolerant control problem for uncertain singular system, whose class is with parameter uncertainties and norm bounded. Based on LMI, the integrity design technique with actuators failures is analyzed based on robust faulttolerant control theory.Based on LMI method, reliable guaranteed cost control and robust Hâˆžfault tolerant control problems are studied, which is a more general actuator failure model. For a class of linear descriptor systems with uncertainty and a given quadratic cost function, we design a reliable guaranteed cost state feedback control law such that, the closedloop descriptor systems keep regular, impulsefree and stable in the case of actuator failures. Meanwhile, a certain upper bound of a quadratic cost index can be guaranteed. Robust Hâˆžfaulttolerant control of a kind of descriptor delay linear systems with uncertainty and disturbance is studied. In the circumstance of actuator failures, on the basis of generalized Riccati inequality, we obtain the sufficient condition for the systems possessing asymptotical stability against actuator failures and the design method of the controller.It is well known that the HamlitonJacobi inequality (HJI) is difficult to resolve, either analytically or numerically. So, the nonlinear system is represented or approximated by a TS fuzzy model. Actuator failures are classified in terms of extent of failures. Faulty switching system is constructed respect to various classes of actuator failures. A statefeedbackswitching controller is designed such that the closedloop switched system is asymptotically stable with a prescribed Hâˆžperformance constraint for arbitrary switching law. Furthermore, we investigate the problem of reliable Hâˆžoutput tracking control for a class of nonlinear singular system using TakagiSugeno (TS) fuzzy model approach. When the actuator failures cases occurred, a reliable controller is deigned such that the system output follows that of a reference model while satisfying a prescribed Hâˆžperformance constraint.The stability and reliable control problems are studied in terms of stability theory for stochastic differential equations. We deal with the problems of robust stochastic stabilization and robust Hâˆžcontrol for Markovian jump nonlinear singular systems with Wiener process via a fuzzycontrol approach. The TS fuzzy model is employed to represent a nonlinear singular system with normbounded parameter uncertainties and Markovian jump parameters. Based on stochastic Lyapunov function method, a state feedback fuzzy controller is designed such that the closedloop fuzzy system is robustly stochastically stable for all admissible uncertainties, and a prescribed performance is achieved. At the same time, we deal with the design problem of robust Hâˆžreliable control for nonlinear singular stochastic systems with actuator failures. Based on LMI techniques, we establish sufficient conditions of existence and design method of robust Hâˆžreliable fuzzy controller. Finally, the design problem of robust reliable guaranteed cost controller for nonlinear singular stochastic systems is studied. A state feedback fuzzy controller is designed such that the resulting closedloop fuzzy system is robustly reliable stochastically stable, and the corresponding quadratic cost function is guaranteed to be no more than a certain upper bound for all admissible uncertainties as well as different actuator fault cases.
 Keywords/Search Tags:  Singular systems, Singular stochastic systems, Fault tolerant control, Reliable control, Fuzzy control, H∞control, Guaranteed cost control, Generalized Riccati inequality, Linear matrix inequality(LMI)  PDF Full Text Request  Related items 
 
