Adaptive switching control of a class of nonlinear systems based on mixed multiple models

The transient behaviors of traditional adaptive control may be very poor in general. A practically feasible approach to improve the transient performances is the adoption of adaptive switching control. For a typical class of nonlinear systems disturbed by random noises, mixed multiple models consisting of adaptive model and fixed models were considered to design the switching control law. Under certain assumptions, the nonlinear system with the switching control law was proved rigorously to be stable and optimal. A simulation example was provided to compare the performance of the switching control and the traditional adaptive control.