Fuzzy $H_{\infty}$ Tracking Control for Nonlinear Networked Control Systems in T–S Fuzzy Model

Abstract

This paper investigates the fuzzy tracking control problem for a class of nonlinear networked control systems (NCSs) with a prescribed H(infinity) tracking performance. Such NCSs consist of a nonlinear controlled plant, a tracked plant, sensors, a controller, and an actuator. A Takagi-Sugeno fuzzy model is employed to represent the nonlinear controlled plant in the NCSs, and a tracked plant is described by a linear stable reference model. In transmission, both network-induced delay and packet losses are considered. By the parallel distributed compensation technique, a novel tracking model of the nonlinear NCSs is first established. Based on Lyapunov stability theory, a control design method that guarantees the prescribed H(infinity) tracking performance of the nonlinear NCSs is developed in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of our result.