Stability analysis and systematic design of fuzzy control systems

A method of the stability analysis and systematic design of fuzzy control s ystems is presented in this paper. The fuzzy control system is formulated b y a set of local Takagi-Sugeno fuzzy models (T-S fuzzy model) with aggregat ion. The controller is designed by state feedback for each local model sepa rately. It is shown that under some conditions the controller designed can guarantee the global stability of the closed-loop fuzzy system. The stabili ty of the whole closed-loop fuzzy system is also proved via the piecewise L yapunov function. The simulation results for the fuzzy control of a nonline ar system - the ball and beam system (BB-system) - show that this method is effective. (C) 2001 Elsevier Science B.V. All rights reserved.