Memory State Feedback and Robust Fault-tolerant Control for a Class of Time-delays Switched Fuzzy Systems with Nonlinear Perturbation

Abstract

The problems of designing the memory state feedback controller and switching law for a class of time-delay switched fuzzy systems with nonlinear perturbation against actuator failures based on T-S models are investigated.The nonlinear perturbation proposed in this model is bounded, dealing with it in mathematical tools.A robust, fault-tolerant and memory state feedback controller with two different control gains, whose conservative is lower than memoryless controller, and system switching law are built using multiple Lyapunov function method to analyse the system stability. The sufficient condition making the close-loop systems asymptotically stable is derived through the above works, when the actuators have something wrong.The designed controller and switching law in this paper not only make sure the asymptotically stability of the close-loop systems against actuators failure, but also heighten the resistibility for nonlinear perturbation.Numerical example is provided to show the validity and effectiveness of the method what this paper proposes.