Dynamic output-feedback \(H_\infty\) control for TS fuzzy systems with probabilistic faults and time-varying input delay (Q2700177)

Summary: This paper develops a new fuzzy dynamic output-feedback controller for TS fuzzy systems with probabilistic actuator faults and time-varying input delay. The central sight is to consider the bounded \(H_\infty\) performance by the influence of stochastic faults, which are modelled by introducing Bernoulli distributed sequences. The novel stability criterion is established to guarantee the stochastic stabilisation of the resultant closed-loop system and satisfies a prescribed performance by implementing Lyapunov-Krasovskii's functional approach. Furthermore, the gain values of the controller are calculated by solving a set of linear matrix inequalities (LMIs). Eventually, an analytical example is provided to demonstrate the merits and applicability of the prospective method.