Discrete-Time State Feedback Control Algorithm for Disturbances Compensation

Abstract

This paper addresses the problem of discrete-time linear systems stabilization in presence of unknown but bounded external disturbances. As a solution, the auxiliary loop approach for disturbances compensation is used to provide state feedback control. Originally proposed for the continuous-time plants, in current work auxiliary loop method is modified for application to discrete-time systems. Sufficient condition for convergence of the proposed algorithm is presented. Generalization for dynamical network is provided. Numerical examples are given to illustrate the results.