Stability analysis and systematic design of fuzzy control systems

Abstract A method of the stability analysis and systematic design of fuzzy control systems is presented in this paper. The fuzzy control system is formulated by a set of local Takagi–Sugeno fuzzy models (T–S fuzzy model) with aggregation. The controller is designed by state feedback for each local model separately. It is shown that under some conditions the controller designed can guarantee the global stability of the closed-loop fuzzy system. The stability of the whole closed-loop fuzzy system is also proved via the piecewise Lyapunov function. The simulation results for the fuzzy control of a nonlinear system – the ball and beam system (BB-system) – show that this method is effective.

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