Reliable Control Research Based On Uncertain T-S Fuzzy Systems

The reliability is a key factor for normal operation of the control system. Oncethe system fails, may cause great economic losses. Because the actuator of the controlsystem executes control task long uninterrupted. It is one of the most vulnerable partsof the system failure. In the design of fault-tolerant control system, Actuatorfault-tolerant strategy should be considered a top priority. Simultaneously, in theactual control system, most of the controlled object or process nonlinearcharacteristics, nonlinearity is the nature of the factors that affect system performance,it’s there to study adds to the difficulty and complexity. In addition, unable to establishthe precise mathematical model of this situation most often encountered in the realcontrol process, classical control theory or modern control theory can not beestablished at the time of the exact mathematical model of the controlled object oftenseem helpless, the situation becomes so system control problems. However, as animportant part of intelligent control, fuzzy control is a process not an effective methodof accurate modeling of complex systems. Especially the T-S fuzzy systems, it hasbeen a lot of researching work can approximate any nonlinear system to prove, T-Sfuzzy systems proposed for the study of nonlinear systems theory provides a goodplatform. Therefore, considering the actual control engineering system modeluncertainty and actuator failure, basing on reliable control problems for uncertain T-Sfuzzy model, so that in the event of failure of the implementation of the state feedbackcontroller design, still ensure system stability, and meet certain performance.The main contents of this paper include the following aspects:1. Based on the T-S fuzzy model, consider outside interference, research willbe closed-loop system pole placement in a given area, fuzzy robust guaranteed costcontrol problem, makes the dynamic performance of closed-loop system to meet thedesign requirements. In this paper, the H control of external interferencesuppression, the pole placement and guaranteed cost control was to unite organic,robust reliable control of fuzzy state feedback controller is designed to achieve thecontrol system.2. Robust passive continuous uncertain T-S fuzzy systems reliable controlproblems were studied, consider the continuity of actuator failure, based on Lyapunovstability theory, get the system conditions for the existence of state feedback controller, and give in the form of LMI status uncertain continuous TS fuzzy closed-loop systemwith robust passive performance feedback controller design method.3. It will be extended to dissipative control problems in the passive controlproblem studied in2, based on Lyapunov stability theory, for parameters withcontinuous actuator failure uncertain T-S fuzzy systems, studying robust dissipativecontrol problem, gives a robust dissipative state feedback controller design method, sodesigned controller can guarantee closed-loop system is robust asymptotically stable.and meet dissipation performance indicators.