Study On Fault-tolerant Guaranteed Cost Control For Nonlinear Systems

Fault tolerant guaranteed cost control problems, since had been proposed, have been well getting Chinese and overseas scholars'attention, and has good application prospect. With the rapid development of science and technology, the industrial process is becoming more and more large and complex, and large scale and high-level integrated automated system, the requirements of control for systems are more and more high. In the face of the emergence and development of new facilities, the traditional control theory and control methods have gradually shown some limitations.many novel, advanced control methods are presented and applied widely, such as robust H∞fault tolerant control, fuzzy self-adaption fault tolerant control and so on. The design, which can guarantee the reliability and safety of our modernization practical complex system, has a very important sense.Any system will inevitably suffer some effects from the actuator faults, sensor faults or system parts faults. Thus, when a fault occurs, how to make a control system to maintain stable and can achieve acceptable performance indicators,it has become the research focus and one of the hot issues in the control field.Aiming at the design and research issues of fault tolerant guaranteed cost controller for nonlinear system, this thesis'main work can be summarized into the following aspects:1) Aiming at the T-S fuzzy time-delay system with sensor faults, we study its problem of fault tolerant guaranteed cost control. The target is to design a controller, which ensure that the T-S fuzzy time-delay systems with sensor faults is able to maintain the stability of the system and can meet the given performance index. Using LMI method and Lyapunov stability theory, we give out the sufficient conditions of the existence for fault tolerant guaranteed cost controller and design a controller.2) According to the nonlinear singular system with time-delay, we study its fault tolerant guaranteed cost control problem. Based on the Lyapunov stability theory, obtain the sufficient conditions which ensure the system with the actuator failure is complete stability, and design a controller that ensure system with failures maintain the stability and meet our established performance index.3) In order to solve the robust fault tolerant guaranteed cost control problem for stochastic system, we design a state feedback controller to solve the stability problems of stochastic systems when the failures occur, and ensure that the system can work normally. The design method makes use of the stability properties and linear matrix inequality method, and can ensure that the controller achieves the predetermined control requirements.