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Mathematical Problems in EngineeringVolume 2013 2013, Article ID 678653, 9 pages

Research Article

Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China

School of Information Science and Electrical Engineering, Harbin Institute of Technology, Weihai 264200, China

Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, China

Received 9 June 2013; Revised 29 August 2013; Accepted 29 August 2013

Academic Editor: Rongni Yang

Copyright © 2013 Hongwei Xia et al. 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 is concerned with the sliding mode control for a class of linear systems with time-varying delays. By utilizing a novel Lyapunov-Krasovskii functional and combining it with the delay fractioning approach as well as the free-weighting matrix technology, a sufficient condition is established such that the resulting sliding mode dynamics is asymptotically stable. Then, a sliding mode controller for reaching motion is synthesized to guarantee that the trajectories of the resulting closed-loop system can be driven onto a prescribed sliding surface and maintained there for all subsequent time. A numerical example is provided to illustrate the effectiveness of the proposed design approach.

Author: Hongwei Xia, Li Li, Yanmin Wang, Aiguo Wu, and Guangcheng Ma

Source: https://www.hindawi.com/


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