Hybrid controller based on fuzzy logic system is designed for a class of nonlinear multivariable systems. The nonlinear systems involve plant uncertainties and external disturbances. The controller is based on a combination of the Hinfin tracking theory, fuzzy logic system and supervisor control algorithm (SCA). The robust stability of the control system is proofed in the paper. When apply the hybrid controller, all the states and signals of the closed-loop system are bounded and Hinfin tracking performance is guaranteed. Consequently, the control performance of the system is greatly improved. The hybrid controller can be applied to more general nonlinear system involving a large class of uncertainties and variations. At last the simulation result is given.