H∞ control for fuzzy singularly perturbed systems

  • Authors:

  • Huaping Liu;Fuchun Sun;Yenan Hu

  • Affiliations:

  • Department of Computer Science and Technology, Tsinghua University, Beijing 100084, PR China and State Key Laboratory of Intelligent Technology and Systems, Beijing 100084, PR China;Department of Computer Science and Technology, Tsinghua University, Beijing 100084, PR China and State Key Laboratory of Intelligent Technology and Systems, Beijing 100084, PR China;Department of Computer Science and Technology, Tsinghua University, Beijing 100084, PR China and State Key Laboratory of Intelligent Technology and Systems, Beijing 100084, PR China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

In this paper, both the state feedback and static output feedback H^~ controllers for fuzzy singularly perturbed systems are investigated. We give sufficient conditions for the existence of H^~ controller such that the closed-loop fuzzy control system is globally stable and achieves a prescribed level of disturbance attenuation for sufficiently small perturbation parameters. The linear matrix inequality (LMI) approach is proposed to obtain the state-feedback gains, and a homotopy-based iterative LMI algorithm is developed to get the static output feedback gains. Simulation results for two examples are included to demonstrate the effectiveness of the proposed approaches.