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SLIDING MODE CONTROL SYNTHESIS OF UNCERTAIN TIME‐DELAY SYSTEMS
Author(s) -
Orlov Y.,
Perruquetti W.,
Richard J.P.
Publication year - 2003
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2003.tb00173.x
Subject(s) - control theory (sociology) , nonlinear system , controller (irrigation) , sliding mode control , mode (computer interface) , robust control , stability (learning theory) , stability theory , computer science , control (management) , mathematics , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , operating system
Sliding mode control synthesis is developed for a class of uncertain time‐delay systems with nonlinear disturbances and unknown delay values whose unperturbed dynamics is linear. The synthesis is based on a new delay‐dependent stability criterion. The controller constructed proves to be robust against sufficiently small delay variations and external disturbances. An admissible upperbound such that the corresponding closedloop system remains globally asymptotically stable for each delay value less than this up‐perbound is derived. Performance issues of the controller are illustrated in a simulation study.