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Technical Briefs

Fault-Distribution Dependent Reliable Control for T-S Fuzzy Time-Delayed Systems

[+] Author and Article Information
Zhou Gu1

School of Power Engineering,  Nanjing Normal University, Nanjing 210042, China e-mail: gzh1808@163.com College of Information Science and Technology, Donghua University, Shanghai 201620, ChinaInstitute of Information and Control Engineering Technology,  Nanjing Normal University, Nanjing 210042, China

Jinliang Liu, Chen Peng, Engang Tian

School of Power Engineering,  Nanjing Normal University, Nanjing 210042, China e-mail: gzh1808@163.com College of Information Science and Technology, Donghua University, Shanghai 201620, ChinaInstitute of Information and Control Engineering Technology,  Nanjing Normal University, Nanjing 210042, China

1

Corresponding author.

J. Dyn. Sys., Meas., Control 133(6), 064503 (Nov 21, 2011) (4 pages) doi:10.1115/1.4004066 History: Received November 12, 2009; Revised March 14, 2011; Published November 21, 2011; Online November 21, 2011

The problem of reliable control for T-S fuzzy time-delayed systems is investigated in this paper. A more practical and general actuator-fault-model is proposed by assuming that actuators fault obeys a certain probabilistic distribution. In order to get less conservative results, the state-delay is segmentalized into several continuous equivalent subintervals in constructing the Lyapunov function and stochastic fault information is also introduced in deriving the results. Sufficient conditions for the existence of reliable controller are expressed by a set of linear matrix inequalities. Illustrative examples are exploited to show the effectiveness of the proposed design procedures.

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Copyright © 2011 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Responses of x(t) with standard controller Ks

Grahic Jump Location
Figure 2

Responses of x(t) with reliable controller Kr

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