In this paper, a fuzzy control design method is be developed for the plant model whose structure is represented by the Takagi-Sugeno fuzzy model. In each rule of the Takagi-Sugeno fuzzy model, the system is characterized by linear dynamics given in the controllability canonical form. Replacing the Lyapunov inequality with a Lyapunov equation for stability analysis, the proposed method will make use of the inverse solution of Lyapunov equations to obtain a common Lyapunov function for all the subsystems. Based on this solution, the fuzzy controller can be constructed by using the parallel distributed compensation technique.
Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations
Contributed by the Dynamic Systems and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, March 2001; final revision, August 2002. Associate Editor: R. Langari.
Chang, W. (March 10, 2003). "Fuzzy Controller Design via the Inverse Solution of Lyapunov Equations ." ASME. J. Dyn. Sys., Meas., Control. March 2003; 125(1): 42–47. https://doi.org/10.1115/1.1540996
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