Robust H<inf>∞</inf> fault-tolerant control for networked control system based on Takagi-Sugeno Fuzzy Model

Abstract

This paper investigates the problem of robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fault-tolerant control for a class of uncertain nonlinear networked control system (NCSs) with external disturbance. A T-S fuzzy model is employed to represent the nonlinear controlled plant in the NCSs. Both networked-induced delay and packet dropout in transmission are addressed. By using Lyapunov-Krasovskii functional, introducing some slack matrices, the less conservative robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> integrity design for NCSs against failures of actuator and sensor is analyzed based on a delay-dependent approach, and the robust H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fault-tolerant controller gain can be obtained via solving several linear matrix inequalities (LMIs). Finally, an example is used to illustrate the effectiveness and the feasibility of the proposed approach.