On the design of stable fuzzy controller based on adaptive approach

This paper presents the design of adaptive fuzzy controller for an n-th order plant. The plant is first divided into two parts, the known part and the unknown part. During the control process, the unknown part of the optimal control signal will be approximated by an adaptive fuzzy controller. The adaptive fuzzy controller is described by the IF-THEN rules. The consequent part of each rule is changed according to the adaptive law. Based on a Lyapunov function, the adaptive law is derived under which the stability of the system is guaranteed. Finally, an example will be given to show the merits of the proposed design approach.