Observer based dissipative reliable control for Takagi-Sugeno fuzzy systems with time delay

This paper is concerned with the design of α-dissipative reliable control for continuous Takagi-Sugeno (T-S) fuzzy systems with unavailable states and time-varying delay. The sufficient conditions for the existence of fuzzy observer and the α-dissipative reliable fuzzy controller are given in terms of Linear Matrix Inequalities (LMI) which can be solved efficiently by using the LMI optimization techniques. The conditions are obtained by using a free weighting matrix technique (Newton Leibniz formula) without imposing model transformation which reduce the conservatism. The obtained LMI are dependent, not only upon upper bound of time delay, but also on the dissipative margin α and on the actuator failure parameter. Furthermore, a more general actuator failure model is adopted in this paper, which covers the typical work status of actuator, i.e. normal operation, partial degradation and outage. The results of H_∞ performance, positive realness and mixed of H_∞ and positive real performance are easy corollaries of the dissipative result. A numerical example is given in order to demonstrate the effectiveness of our result.