한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제7권3호
  • /
  • Pages.72-80
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  • 1997
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  • 1976-9172(pISSN)
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  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지

A New Design Method for T-S Fuzzy Controller with Pole Placement Constraints

  • Joh, Joongseon (Department of control and Instrumentation Engineering Changwon National University) ;
  • Jeung, Eun-Tae (Department of control and Instrumentation Engineering Changwon National University) ;
  • Chung, Won-Jee (Department of Mechanical Design and Manufacturing Changwon National University) ;
  • Kwon, Sung-Ha (Department of control and Instrumentation Engineering Changwon National University)
  • 발행 : 1997.08.01
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초록

A new design method for Takagi-Sugeno (T-S in short) fuzzy controller which guarantees global asymptotic stability and satisfies a desired performance is proposed in this paper. The method uses LMI(Linear Matrix Inequality) approach to find the common symmetric positive definite matrix P and feedback fains K/sub i/, i= 1, 2,..., r, numerically. The LMIs for stability criterion which treats P and K'/sub i/s as matrix variables is derived from Wang et al.'s stability criterion. Wang et al.'s stability criterion is nonlinear MIs since P and K'/sub i/s are coupled together. The desired performance is represented as $ LMIs which place the closed-loop poles of $ local subsystems within the desired region in s-plane. By solving the stability LMIs and pole placement constraint LMIs simultaneously, the feedback gains K'/sub i/s which gurarntee global asymptotic stability and satisfy the desired performance are determined. The design method is verified by designing a T-S fuzzy controller for an inverted pendulum with a cart using the proposed method.

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참고문헌

  1. Information and Control v.8 no.3 Fuzzy Sets I.Zadeh;L.A.
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  3. Proc. Americam Control Conference Analytical Framework of Fuzzy Modeling and Control of Nonlinear Systems:Stability and Design Issues Wang, H.O.;Tanaka, K.;Griffin, M.
  4. IEEE Trans. Systems ,Man,and Cybernetics v.SMC-15 no.1 Fuzzy Identification of Systems and Its Applications to Modeling and Control Takagi, T.;Sugeno, M.
  5. Proc. 33rd Conf. Decision and Control H Design with Pole Placement Constraints:an LMI Approach Chilali, M.;Gahinet, P.
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