Abstract
This article is focused on reliable fuzzy H-infinity controller design for a class of Takagi-Sugeno (T-S) fuzzy systems with state delay, actuator failures, disturbance input and norm bounded uncertainties. In the design, the H-infinity performance of the closed-loop system is optimised during normal operation (without failures) while the system satisfies a prescribed H-infinity performance level in the case of actuator failures. Two methods are presented in this study. In the first method, delay-dependent conditions are derived based on a single Lyapunov-Krasovskii function. This method improves delay-independent results existing in the literature. Next, to further reduce the conservatism, we use a parameter-dependent Lyapunov-Krasovskii function. The new sufficient conditions for the existence of the suboptimal robust reliable controller are shown in terms of linear matrix inequalities (LMIs), which can be solved by using LMI optimisation techniques. A simulation example shows the effectiveness of the proposed methods.