Robust error-feedback arbitrary references tracking for discrete-time linear perturbed systems

摘要

In this paper, the error-feedback output tracking problem for discrete-time linear perturbed systems with arbitrary references and unknown disturbances is approximately solved. To obtain the approximated system state error, a dynamic estimator is designed using a state observer, based on the plant model and considering the tracking error as the system output. The proposed solution is based on the approximation of a discrete-time function, using various previous steps of itself. This approximation is used in the proposed observer to estimate the reference profile of the control input. Based on the estimated state error, a discrete-time sliding mode controller is then designed to achieve the approximate tracking of the arbitrary reference. The simulations show the effectiveness of the proposed control scheme. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.