Adaptive Output Feedback Stabilization Of Discrete-time System

In this paper,a new methodology for adaptive stabilization of nonlinear systems is presented,The method relies upon the notions of systems immersion and manifold invariance,the proposed approach deal with unmeasured state and unmeasured parameters in a uniform manner.And compared with the traditional Backstepping method,the design of the controller express a kind of superiority. We studied the output feedback stabilization of a class of discrete-time system,By immersion and invariance,new adaptive control laws with advantageous properties is constructed.In order to show the effectiveness of the proposed method for this class system,an example is show.