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Sliding mode control synthesis of uncertain time-delay systems

Yuri Orlov 1 Wilfrid Perruquetti 2, 3 Jean-Pierre Richard 2, 4
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Siding mode control synthesis is developped for a class of nonlinear time-delay systems. 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 closed-cloop system remains globally asymptotically stable for each delay value less than this upperbound is derived. Performance issues of the controller are illustrated in a simulation study.
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Submitted on : Monday, November 26, 2007 - 11:45:59 PM
Last modification on : Friday, May 1, 2020 - 9:32:06 PM
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  • HAL Id : inria-00192158, version 1



Yuri Orlov, Wilfrid Perruquetti, Jean-Pierre Richard. Sliding mode control synthesis of uncertain time-delay systems. Asian Journal of Control, Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) 2003, 5 (4), pp.568-577. ⟨inria-00192158⟩



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