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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 379647, 10 pages
Research Article

Quasi-Sliding Networked Control of Systems Subject to Unbounded Disturbance with Limited Rate of Change

Institute of Automatic Control, Technical University of Łódź, 18/22 Stefanowskiego Street, 90-924 Łódź, Poland

Received 24 July 2014; Revised 29 October 2014; Accepted 30 October 2014

Academic Editor: Rongni Yang

Copyright © 2015 Andrzej Bartoszewicz and Paweł Latosiński. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper concerns network based sliding mode control of linear plants with state measurement delay. The considered plants are subject to unbounded disturbance, but it is assumed that the change of disturbance value between each two subsequent sampling instants is limited. In order to combat the unpredictable disturbance in the environment with state measurement delay, a novel sliding mode controller has been introduced. It utilizes two nominal models of the plant to drive the system state along a desired trajectory and counteract the predicted effect of the past disturbance on the system. It has been proven that applying the new control strategy to the plant confines the system state to a defined band around the sliding hyperplane.