Fuzzy state feedback controller for nonlinear systems: stability analysis and design

Presents the stability analysis of a fuzzy control system consisting of a nonlinear plant and a fuzzy controller and the design of the membership functions of the fuzzy controller. The nonlinear plant is represented by a fuzzy model having p rules. A c-rule fuzzy state-feedback controller is used to close the feedback loop. A design methodology for the fuzzy controller is provided. Under this design, the stability condition is reduced to p linear matrix inequalities. An application example on stabilizing a mass-spring-damper system is given.