Observer-based H∞control for discrete-time T-S fuzzy systems

  • Authors:

  • Hong-Li Zhang;Xiao-Heng Chang;Yuan-Wei Jing;Nan Jiang;Si-Ying Zhang

  • Affiliations:

  • College of Arts and Science, Heilongjiang August First Land Reclamation University, Daqing, Heilongjiang, China and College of Information Science and Engineering, Northeastern University, Shenyan ...;College of Information Science and Engineering, Bohai University, Jinzhou, Liaoning, China and 3. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;3. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;3. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China;3. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
  • Year:
  • 2009

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Abstract

This paper is concerned with the problem of observer-based H∞ control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the H∞ performance of the T-S fuzzy systems is derived, and the condition is expressed by a set of linear matrix inequalities (LMIs). In comparison with the existing literature, the proposed approach may provide more relaxed condition while ensuring better H∞ performance. The simulation results illustrate the effectiveness of the proposed approach.