Fault - tolerant control of uncertain time - delay discrete - time systems using T-S model

Abstract

The investigated control problem of nonlinear time-delay discrete-time systems is addressed using Takagi-Sugeno model. Parametric uncertainty and time-delay terms are employed in building the Takagi-Sugeno model for the controlled plant for the purpose of close representation of the original plant system. The integrity and robustness are guaranteed for the closed-loop fuzzy system in sense of Lyapunov stability method via fuzzy state observers. Sufficient conditions for the fuzzy system to possess integrity against actuator failures and sensor failures in the closed-loop are derived in terms of linear matrix inequalities under assumption of known bounds on uncertainties. The results for trailer-truck example are used to illustrate the effectiveness of the method.