A delay-dependent approach to robust Takagi-Sugeno fuzzy control of uncertain recurrent neural networks with mixed interval time-varying delays

K. H. Tseng, J. S H Tsai, Chien-Yu Lu

Research output: Contribution to journalArticle

Abstract

This paper deals with the problem of globally delay-dependent robust stabilization for Takagi-Sugeno (T-S) fuzzy neural network with time delays and uncertain parameters. The time delays comprise discrete and distributed interval time-varying delays and the uncertain parameters are norm-bounded. Based on Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions are derived for ensuring the exponential stability for the closed-loop fuzzy control system. An important feature of the result is that all the stability conditions are dependent on the upper and lower bounds of the delays, which is made possible by using the proposed techniques for achieving delay dependence. Another feature of the results lies in that involves fewer matrix variables. Two illustrative examples are exploited in order to illustrate the effectiveness of the proposed design methods.

Original languageEnglish
Pages (from-to)1571-1589
Number of pages19
JournalJournal of Circuits, Systems and Computers
Volume20
Issue number8
DOIs
Publication statusPublished - 2011 Dec 1

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Recurrent neural networks
Fuzzy control
Time delay
Fuzzy neural networks
Asymptotic stability
Linear matrix inequalities
Stabilization
Control systems

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Hardware and Architecture

Cite this

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T1 - A delay-dependent approach to robust Takagi-Sugeno fuzzy control of uncertain recurrent neural networks with mixed interval time-varying delays

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AU - Tsai, J. S H

AU - Lu, Chien-Yu

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N2 - This paper deals with the problem of globally delay-dependent robust stabilization for Takagi-Sugeno (T-S) fuzzy neural network with time delays and uncertain parameters. The time delays comprise discrete and distributed interval time-varying delays and the uncertain parameters are norm-bounded. Based on Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions are derived for ensuring the exponential stability for the closed-loop fuzzy control system. An important feature of the result is that all the stability conditions are dependent on the upper and lower bounds of the delays, which is made possible by using the proposed techniques for achieving delay dependence. Another feature of the results lies in that involves fewer matrix variables. Two illustrative examples are exploited in order to illustrate the effectiveness of the proposed design methods.

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