Robust Sliding-Mode Control for Uncertain Time-Delay Systems Based on Delta Operator

• Published in: IEEE transactions on industrial electronics (1982) Vol. 56; no. 9; pp. 3646 - 3655
• Main Authors: Yuanqing Xia, Yuanqing Xia, Mengyin Fu, Mengyin Fu, Hongjiu Yang, Hongjiu Yang, Guo-Ping Liu, Guo-Ping Liu
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-09-2009; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control surfaces; Control systems; Delay; Delta-operator systems; Deltas; Discrete systems; Feasibility; Industrial electronics; Linear matrix inequalities; linear matrix inequalities (LMIs); Motion control; Operators; Robust control; robust stability; Robustness; Sampling methods; Sliding mode control; sliding-mode control (SMC); Stability; Sufficient conditions; time delays; Uncertainty
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2008.2007987

This paper is devoted to robust sliding-mode control for time-delay systems with mismatched parametric uncertainties. Based on a delta-operator approach, a delay-dependent sufficient condition for the existence of linear sliding surfaces is given, and a reaching motion controller is also developed. The results obtained in this paper can unify some previous related results of the continuous and discrete systems into the delta-operator systems framework. The feasibility and effectiveness of the developed method are illustrated by an example.