4.8 Article

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

Journal

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 56, Issue 9, Pages 3646-3655

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2008.2007987

Keywords

Delta-operator systems; linear matrix inequalities (LMIs); robust stability; sliding-mode control (SMC); time delays

Funding

  1. National Science Foundation of China [60504020]
  2. Beijing Institute of Technology [2006y0103]

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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.

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