Asian Journal of Research in Social Sciences and Humanities
  • Year: 2016
  • Volume: 6
  • Issue: 6

Dissipative Robust Reliable Sampled-data Control for T-S fuzzy Systems with Nonlinear Actuator Fault

*Department of Mathematics, PPG Institute of Technology, Coimbatore, India

**Department of Mathematics, RVS Technical Campus, Coimbatore, India

***Department of Mathematics, Anna University, Regional Campus, Coimbatore, India

Online published on 1 June, 2016.

Abstract

This paper investigates the dissipative sampled-data control problem of T-S fuzzy systems subject to time-varying delays and actuator fault. The main purpose of this article is to design a delayed robust control law such that the resulting closed-loop system is strictly (Q, S, R)-α-dissipative. More precisely, by introducing a suitable Lyapunov-Krasovskii functional, Wirtinger-based integral inequality and using Schur complement, some sufficient conditions for the solvability of the addressed problem are derived in terms of linear matrix inequalities. In particular, all the obtained sufficient conditions are easily verified by using Matlab LMI toolbox. At last, simulations are conducted to illustrate the effectiveness and applicability of the proposed control scheme.

Keywords

T-S fuzzy systems, Sampled-data control, Dissipativity analysis, Reliable control