Design of fuzzy state controllers and observers

This paper suggests methods for designing fuzzy state controllers and fuzzy state observers based on Takagi-Sukeno-Kang (TSK) fuzzy models (Takagi and Sukeno, 1985; Sukeno and Kang, 1988) which approximate complicated nonlinear systems to any degree of accuracy. First, a designing method of fuzzy state controllers, guaranteeing that the poles of the fuzzy control systems with fuzzy state controllers are to be desired ones, is suggested. Next, a designing method of fuzzy state observers, guaranteeing that the dynamics of state error vector have the desired poles, is suggested. Finally, fuzzy control systems with fuzzy state controllers and observers are constructed and it is showed that the so-called separation property of the observer-controller design procedure is satisfied.<>