Youla Parameterization and Design of Takagi-Sugeno Fuzzy Control Systems

  • Wei Xie
  • Toshio Eisaka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4223)


A method of designing Takagi-Sugeno fuzzy control systems based on the parameterization of quadratically stabilizing controllers is presented. Conception of doubly coprime factorization and Youla parameterization of LTI systems are extended to T-S fuzzy system with respect to quadratic stability. The parameterization of the close-loop systems, which are affine with arbitrary stable Q-parameter, is then described. This description enables the application of the Q-parameter approach to various T-S fuzzy control-systems. Above all, a design scheme of Q to obtain L2-gain performance is clarified.


Fuzzy System Linear Matrix Inequality Linear Time Invariant System Fuzzy Control System Quadratic Lyapunov Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Wei Xie
    • 1
  • Toshio Eisaka
    • 2
  1. 1.College of Automation Science and TechnologySouth China University of TechnologyGuangzhouChina
  2. 2.Computer Sciences, Kitami institute of TechnologyHokkaidoJapan

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