$H_{\infty}$ Fuzzy State-Feedback Control Design for Uncertain Nonlinear Descriptor Systems;An LMI Approach

  • Assawinchaichote, W. (Department of Electronic and Telecommunication Engineering, King Mongkut’s University of Technology Thonburi) ;
  • Nguang, S.K. (Department of Electrical and Computer Engineering, The University of Auckland)
  • Published : 2004.08.25

Abstract

This paper examines the problem of designing an $H_{\infty}$ fuzzy state-feedback controller for a class of uncertain nonlinear descriptor systems which is described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an $H_{\infty}$ state-feedback controller which guarantees the $L_2$-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value for this class of systems. A numerical example is provided to illustrate the design developed in this paper.

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