Adaptive control of a class of switched nonlinear discrete-time systems with unknown parameter

In this paper, the adaptive tracking control approach is framed for a class of switched discrete-time nonlinear systems with unknown parameters. Allowable switching law is constructed and the controller is chosen by switched Lyapunov function schema. Adaptive updating control algorithm for discrete-time nonlinear switched systems are first derived. Moreover, we can prove that the closed-loop switched system is uniformly stable and the output tacking error is guaranteed to converge to a small neighborhood of zero. Lastly, an illustrative example is given to demonstrate the effectiveness of proposed approach.