Technical communique: Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form

  • Authors:

  • Baocang Ding;Hexu Sun;Peng Yang

  • Affiliations:

  • School of Electricity and Automation, Hebei University of Technology, Tianjin 300130, PR China;School of Electricity and Automation, Hebei University of Technology, Tianjin 300130, PR China;School of Electricity and Automation, Hebei University of Technology, Tianjin 300130, PR China

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

This paper further studies stabilization of nonlinear systems represented by a Takagi-Sugeno (T-S) discrete fuzzy model. By extending a nonquadratic Lyapunov function and applying a nonparallel distributed compensation (non-PDC) law, a new stabilization conclusion is presented that is a generalization of some previous results in the literature. The new conclusion under a special situation is also suitable for a PDC law, which presents to be more relaxed than some existing results. An example is provided to demonstrate the effectiveness of the new conclusions.