Delay Ts Discrete Fuzzy System State Feedback Controller Design And Application

As a graduation thesis, this paper analyzes the T-S discrete fuzzy system with time delay. Based on the Lyapunov-Krasovskii stability theory, some fuzzy control problems for the T-S discrete fuzzy system with time delay are studied by applying the parallel distributed compensation strategy. The research contents relate to memoryless state feedback control, memory state feedback control,guaranteed cost control and H∞control. All obtained results are the form of linear matrix inequalities whose solutions are solved very easily by Matlab.The main research works of this dissertation are as follows:(1) The stability analysis, the state feedback control and guaranteed cost control are discussed for the T-S discrete fuzzy system with time-delay. Based on common Lyapunov-Krasovskii function and the parallel distribution compensation control strategy, the corresponding fuzzy controller design methods are given in the form of LMI. Due to taking into account the fuzzy controller separately, the LMI-based stability conditions can be reduced to p so as to lower the computational demand. In addition, the results is delay-dependent and the conservative is reduced to some extent. And the results are applied in the actual trailer system.(2) Based on the state feedback control, the new controller design are discussed for the T-S discrete fuzzy system with time-varying delay. Using fuzzy Lyapunov-Krasovskii function and the parallel distribution compensation control strategy, the memoryless state feedback fuzzy controller and memory state feedback fuzzy controller are designed. The results is delay-dependent,which simultaneously contains the upper bound and the lower bound of time-varying delay,the conservative is reduced. In addition, due to taking into account the fuzzy controller separately as in (1), the number of LMI-based stability conditions is less than that of the same type research, saving the time and improving efficiency. And the results are applied in the chaos (Henon map)systems.(3) On the basis of (2), and considering exogenous disturbance, a new H∞control for the T-S discrete fuzzy system with time-varying delay is provided. And the results are applied in the nonlinear mass-spring-damper model.