An Approach to the Analysis and Design of Fuzzy Control System

An approach to the analysis and design of continuous T-S fuzzy control system is proposed in this paper. The fuzzy logic controller has two consequents in each rule. They are numerator part and denominator part and are equivalent to any proper practical controller. It is shown that the overall closed-loop system behaves like an uncertain polytope of polynomials and the system stability can be checked by using some graphical robust stability criteria. The complex process on finding a common Lyapunov function to guarantee the system stability can be omitted. An illustrative example will be given to demonstrate the ability of the design procedure in the proposed approach.