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Reliable H infinity Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay

Wu, Zheng-Guang and Shi, Peng and Su, Hongye and Chu, Jian (2012) Reliable H infinity Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay. IEEE Transactions on Fuzzy Systems, 20 (1). pp. 22-31. ISSN 1063-6706

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Abstract

In this paper, the problem of reliable H ∞ control is investigated for discrete-time Takagi–Sugeno (T–S) fuzzy systems with infinite-distributed delay and actuator faults. A discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults. In terms of a stochastic fuzzy Lyapunov functional, a sufficient condition is proposed to ensure that the resultant closed-loop system is exponentially stable in the meansquare sense with anH ∞ performance index. Based on the derived condition, the reliable H ∞ control problem is solved, and an explicit expression of the desired controller is also given. The case of no failure in the actuator is also considered. A numerical example is given to demonstrate that our results are effective and less conservative.

Item Type: Article
Uncontrolled Keywords: ResPubID25084, actuators, delay, fuzzy systems, Markov processes, state feedback, symmetric matrices, H ∞ control, infinite-distributed delay, linear matrix inequality, LMI, reliable control
Subjects: FOR Classification > 0801 Artificial Intelligence and Image Processing
FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: VUIR
Date Deposited: 15 Mar 2013 01:13
Last Modified: 15 Dec 2014 22:39
URI: http://vuir.vu.edu.au/id/eprint/10454
DOI: 10.1109/TFUZZ.2011.2162850
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Citations in Scopus: 17 - View on Scopus

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