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Research Papers

Fault-Distribution Dependent Reliable H Control for Takagi-Sugeno Fuzzy Systems

[+] Author and Article Information
R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440 746, South Korea
e-mail: krsakthivel@yahoo.com

P. Vadivel

Department of Mathematics,
Kongu Engineering College,
Erode 638 052, Tamil Nadu, India

K. Mathiyalagan, A. Arunkumar

Department of Mathematics,
Anna University—Regional Centre,
Coimbatore 641 047, Tamil Nadu, India

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 21, 2013; final manuscript received October 22, 2013; published online January 9, 2014. Assoc. Editor: Yang Shi.

J. Dyn. Sys., Meas., Control 136(2), 021021 (Jan 09, 2014) (11 pages) Paper No: DS-13-1034; doi: 10.1115/1.4025987 History: Received January 21, 2013; Revised October 22, 2013

This paper is concerned with the problem of robust reliable H control for a class of uncertain Takagi-Sugeno (TS) fuzzy systems with actuator failures and time-varying delay. The main objective is to design a state feedback reliable H controller such that, for all admissible uncertainties as well as actuator failure cases, the resulting closed-loop system is robustly asymptotically stable with a prescribed H performance level. Based on the Lyapunov-Krasovskii functional (LKF) method together with linear matrix inequality (LMI) technique, a delay dependent sufficient condition is established in terms of LMIs for the existence of robust reliable H controller. When these LMIs are feasible, a robust reliable H controller can be obtained. Finally, two numerical examples with simulation result are utilized to illustrate the applicability and effectiveness of our obtained result.

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Figures

Grahic Jump Location
Fig. 1

State trajectories of x(t) of system in Example 4.1 for i = 1 and i = 2 when μ = 0.8

Grahic Jump Location
Fig. 2

Time-varying delay τ(t) in Example 4.1

Grahic Jump Location
Fig. 3

State trajectories of x(t) of system in Example 4.2 for i = 1 and i = 2 when μ = 1

Grahic Jump Location
Fig. 4

Time-varying delay τ(t) in Example 4.2

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