Reliable Control for Fuzzy Stochastic Hyperbolic Systems with Time Delay

This paper investigates the robust reliable control problems for the fuzzy stochastic hyperbolic systems with time delay and actuator faults. Based on linear matrix inequality (LMI) and Lyapunov-Krasovskii approach, two classes of designing methods of reliable controllers for the fuzzy stochastic hyperbolic systems are presented. The corresponding closed-loop systems are asymptotically stable in mean square not only when all control components are operating well, but also in the presence of some outages of actuators within a prespecified subset of actuators. Sufficient conditions are proposed, which can guarantee robust reliable stability for the closed-loop systems despite possible actuator failures, respectively; the expressions of desired nonlinear state feedback controllers are given