Robust stabilization of T–S fuzzy discrete systems with actuator saturation via PDC and non-PDC law

Abstract

In this paper, the problem of robust stabilization of T–S fuzzy discrete systems with actuator saturation is studied. A set invariance condition is established as a null controllable region. The robust stabilization results of the closed-loop T–S fuzzy system have a domain of attraction which is arbitrarily close to the null controllable region. The problem of estimating the domain of attraction of the T–S fuzzy closed-loop systems is formulated and solved as an optimization problem. By using parameter-dependent Lyapunov function, both parallel-distributed compensation (PDC) control law and non-parallel-distributed compensation control law are designed. And there is less conservative by using non-PDC law than using PDC law to control the uncertain discrete-time T–S fuzzy system with actuator saturation. A numerical example is provided to illustrate the effectiveness of the proposed design techniques.