Robust variable sampling control for T-S fuzzy systems

  • Authors:
  • Dedong Yang;Kai-Yuan Cai

  • Affiliations:
  • National Key Laboratory of Science and Technology on Integrated Control, School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronau ...;National Key Laboratory of Science and Technology on Integrated Control, School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronau ...

  • Venue:
  • International Journal of Systems Science
  • Year:
  • 2010

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Abstract

In this article, we first investigate the variable sampling control problem of Takagi-Sugeno (T-S) fuzzy systems without uncertainties. By utilising the input delay approach and the descriptor model transformation, an equivalent continuous-time generalised T-S fuzzy system with a state delay is obtained. Some sufficient conditions for the existence of a state feedback controller are derived in terms of linear matrix inequalities (LMIs), which guarantee the asymptotic stability of the whole closed-loop system. Moreover, some results are also expanded to T-S fuzzy systems with norm-bounded parameter uncertainties. In order to relax the conservatism of the obtained conditions, a feasible algorithm is provided to remove a slightly restricted condition in LMIs. An illustrative example is given to show the validity of this control strategy.