Optimal Design of Type-3 Fuzzy Controllers with Fuzzy Lyapunov Stability
摘要
We describe the optimal design of type-3 fuzzy controllers with stability guaranteed by the fuzzy Lyapunov approach. The classical Lyapunov approach requires the Lyapunov candidate function derivative to be negative (numerically), however in the fuzzy Lyapunov approach the requirement is satisfied linguistically. In this approach, a fuzzy controller is established such that the fuzzy rules satisfy the requirement of negative derivative in a linguistic (fuzzy) way. Once the fuzzy rules are established, the membership functions are outlined and the parameters are found using metaheuristics. Results with a nonlinear plant (water tank) validate the approach.