Stable adaptive nonlinear control system using fuzzy logic

Two adaptive fuzzy control schemes for a class of nonlinear continuous dynamo systems are proposed. The schemes employ a fuzzy controller and a compensation controller. The parameters of the fuzzy controller are on-line adjusted according to an adaptive law while the identification of the controlled plant is unnecessary. It is proved that the closed-loop system is asymptotically stable based on the Lyapunov synthesis approach. Finally, these schemes are applied to control a chaotic system.