Finite-time dissipative based fault-tolerant control of Takagi–Sugeno fuzzy systems in a network environment

This work deals with the problem of robust finite-time dissipativity based fault-tolerant controller design for a class of Takagi–Sugeno (T–S) fuzzy systems in a network environment against system uncertainties, external disturbances and nonlinear actuator failures. Specifically, an actuator fault model consisting both linear and nonlinear faults is developed during the reliable control design. By employing Lyapunov technique together with Wirtinger based integral inequalities, a new set of delay-dependent sufficient conditions is established which assures that the resulting closed-loop system is finite-time bounded and finite-time (Q,S,R)−μ dissipative. Based on the established sufficient conditions, the reliable control design parameters are determined by solving a set of linear matrix inequalities (LMIs). Moreover, the performances of H∞, sector bounded and mixed H∞ and passivity can be obtained as the special cases from the established result. In the end, two numerical examples, one of them is based on a mass-spring-damper system in a network environment, are presented to display the effectiveness, less conservativeness and advantage of the developed design technique.