Fuzzy theory is employed to establish the control systems based on the knowledge of object and controlling. Genetic algorithm is utilized to obtain the data o optimal combination mode of these two systems within different time interval to eliminate the subjectivity and uncertainty. Then the adaptive laws which adjust the free parameters of the fuzzy systems are developed with Lyapunov function

and the stability and convergence of the whole control system is proved. The proposed method is validated with the Duffing forced-oscillation system

and the simulation results illustrate that the proposed method enables every state variable to trace the object more quickly and accurately than the composed adaptive method.