Stabilization of discrete-time T-S fuzzy systems with saturating actuators

This paper focuses on the problem of stabilization of nonlinear discrete-time systems with actuator saturation. Based on the idea of multiple Lyapunov function (MLF) and slack variables functional terms of the controller design method, the problem of estimating the domain of attraction of T-S fuzzy nonlinear discrete-time systems with actuator saturation under a state feedback law is formulated and solved as Linear Matrix Inequalities (LMIs). An LMI-based optimization problem is then derived for computing the state feedback gains such that the origin of the closed-loop system with actuator saturation is asymptotically stable when starting in a region as large as possible. Numerical example demonstrates the effectiveness of the design method.