Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach
Hak‐Keung Lam, Frank H. F. Leung, P.K.S. Tam · 2002
This paper presents the analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an algebraic Riccati equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.