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https://hdl.handle.net/2440/77698
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Type: | Journal article |
Title: | Reliable H∞ control for discrete-time fuzzy systems with infinite-distributed delay |
Other Titles: | Reliable H infinity control for discrete-time fuzzy systems with infinite-distributed delay |
Author: | Wu, Z. Shi, P. Su, H. Chu, J. |
Citation: | IEEE Transactions on Fuzzy Systems, 2012; 20(1):22-31 |
Publisher: | IEEE-Inst Electrical Electronics Engineers Inc |
Issue Date: | 2012 |
ISSN: | 1063-6706 1941-0034 |
Statement of Responsibility: | Zheng-Guang Wu, Peng Shi, Hongye Su, and Jian Chu |
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 mean-square sense with an H∞ 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. |
Keywords: | Terms—Fuzzy systems H∞ control infinite-distributed delay linear matrix inequality (LMI) reliable control. |
Rights: | © 2012 IEEE |
DOI: | 10.1109/TFUZZ.2011.2162850 |
Published version: | http://dx.doi.org/10.1109/tfuzz.2011.2162850 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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