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Stability analysis and systematic design of fuzzy control systems. (English) Zbl 0988.93046
Using state feedback and pole placement techniques, a systematic design method for fuzzy controllers is proposed. A fuzzy system is formulated by a set of local Takagi-Sugeno fuzzy models, and a fuzzy controller is designed by the state feedback method for each local model separately. The global fuzzy controller consists of a set of local controllers with corresponding energy functions, and the stability analysis of a global fuzzy system is given via the piecewise Lyapunov function. The fuzzy controller presented in the paper is applied to a nonlinear control system, the ball and beam system, to show the effectiveness of the presented method for designing a stable fuzzy control system. The conclusions are given in the last part of the paper.

MSC:
93C42 Fuzzy control/observation systems
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