1. Stabilization of discrete-time switching systems including modal nonlinearities and saturating actuators
- Author
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E.B. Castelan, Sophie Tarbouriech, Marc Jungers, Jamal Daafouz, Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Departamento de Automação e Sistemas (DAS), Federal University of Santa Catarina, Laboratoire d'analyse et d'architecture des systèmes (LAAS), Université Toulouse - Jean Jaurès (UT2J)-Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), and Université de Toulouse (UT)
- Subjects
020301 aerospace & aeronautics ,0209 industrial biotechnology ,Engineering ,business.industry ,Saturations ,Switching systems ,02 engineering and technology ,General Medicine ,[SPI.AUTO]Engineering Sciences [physics]/Automatic ,Nonlinear system ,020901 industrial engineering & automation ,Modal ,0203 mechanical engineering ,Discrete time and continuous time ,Control theory ,Nonlinear systems ,Switching Lyapunov functions ,LMI ,business ,Actuator - Abstract
International audience; The paper addresses the control problem of discrete-time switching systems subject to modal nonlinearities satisfying sector conditions and to saturating actuators. Such a switching system consists of a nite family of dierence processes that is supervised by logical decisionmaking algorithms. Conditions based on LMIs are provided to obtain regions of absolute $\lambda$-contractivity as large as possible. An illustration is presented to enlight the relevance of the proposed approach.
- Published
- 2009