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Robust Stabilization of Uncertain Nonlinear Systems via Fuzzy Modeling and Numerical Optimization Programming

Jongbae Lee, Chang-Woo Park*, Ha-Gyeong Sung, and Joonhong Lim
International Journal of Control, Automation, and Systems, vol. 3, no. 2, pp.225-235, 2005

Abstract : This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. L2 robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Keyword : L2 robust stability, feedback linearization, fuzzy control, linear matrix inequalities, Takagi-Sugeno fuzzy model.

 
 
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