Convergence Performance of Discrete Power Attracting Law

This paper studies the tracking control of uncertain discrete-time systems, a discrete power attracting law is presented for designing the controller. The system has a faster convergence speed obviously and no chattering phenomenon. A measure of the order O(T 3) disturbance-rejection is embedded in the attracting law, so that the steady-state error (SSE) magnitude of the developed method is of the order O(T 3). In order to characterize the tracking performance, we derive the expressions for the range of the power monotone decreasing (PMD) region, the power absolute attractive (PAA) layer and SSE band. Computer simulation results are given to validate the effectiveness and superiority of the presented control method.