Stability analysis approach to a class of fuzzy controlled nonlinear time-varying systems

A stability analysis approach a class of fuzzy controlled single input-single output nonlinear time-varying systems is proposed in the paper. The stability analysis is done in the sense of Lyapunov resulting in sufficient uniform asymptotic stability conditions to be used in the design of Takagi-Sugeno fuzzy logic controllers (FLCs). Use is made of quadratic positive definite Lyapunov function candidates. An illustrative example validates the stability analysis approach by the designing of the FLC to control a nonlinear plant.