Quadratically Stable Fuzzy Control for a Class of Uncertain Nonlinear Systems

Combining fuzzy T-S model with adaptive fuzzy logic systems, this paper presents a quadratically stable control scheme for a class of uncertain nonlinear systems. Firstly, the fuzzy T-S model is used to model the nonlinear systems. Secondly, the effect of the modeling errors a and the modeling errors and the uncertain nonlinear parts are eliminated by a compensator based on the adaptive fuzzy logic systems. The control scheme guarantees the quadratic stability of the closed loop system and the L
₂
norm bound. The simulation results demonstrate that the control scheme is effective.