New delay-dependent stability criteria for T--S fuzzy systems with time-varying delay

  • Authors:

  • Fang Liu;Min Wu;Yong He;Ryuichi Yokoyama

  • Affiliations:

  • School of Information Science and Engineering, Central South University, Changsha 410083, China and Graduate School of Environmental and Energy Engineering, Waseda University, Tokyo 169-0051, Japa ...;School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Information Science and Engineering, Central South University, Changsha 410083, China;Graduate School of Environmental and Energy Engineering, Waseda University, Tokyo 169-0051, Japan

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2010

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Abstract

This paper is concerned with the stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.