Open AccessDiscrete‐Time Sliding‐Mode Control of Uncertain Systems with Time‐Varying Delays via Descriptor Approach
Author(s) -
Maode Yan,
Aryan Saadat Mehr,
Yang Shi
Publication year - 2008
Publication title -
journal of control science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.208
H-Index - 18
eISSN - 1687-5257
pISSN - 1687-5249
DOI - 10.1155/2008/489124
Subject(s) - control theory (sociology) , bounding overwatch , discrete time and continuous time , sliding mode control , controller (irrigation) , mode (computer interface) , linear matrix inequality , mathematics , surface (topology) , transformation (genetics) , observer (physics) , transformation matrix , matrix (chemical analysis) , class (philosophy) , model transformation , computer science , control (management) , mathematical optimization , nonlinear system , physics , geometry , materials science , consistency (knowledge bases) , artificial intelligence , chemistry , composite material , biology , operating system , biochemistry , kinematics , classical mechanics , quantum mechanics , agronomy , statistics , gene
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
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