Discrete-time sliding-mode control of uncertain systems with time-varying delays via descriptor approach

Authors:
Maode Yan;Aryan Saadat Mehr;Yang Shi
Affiliations:
School of Electronic and Control Engineering, Chang'an University, Xi'an, China and Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada;Department of Electrical and Computer Engineering, University of Saskatchewan, Saskatoon, SK, Canada;Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, SK, Canada
Venue:
Journal of Control Science and Engineering
Year:
2008

Citing 6
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Abstract

This paper considers the problem of robust discrete-time sliding-mode control (DT-SMC) design for a class of uncertain linear systems with time-varying delays. By applying a descriptor model transformation and Moon's inequality for bounding cross terms, a delay-dependent sufficient condition for the existence of stable sliding surface is given in terms of linear matrix inequalities (LMIs). Based on this existence condition, the synthesized sliding mode controller can guarantee the sliding-mode reaching condition of the specified discrete-time sliding surface for all admissible uncertainties and time-varying delays. An illustrative example verifies the effectiveness of the proposed method.