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2 results on '"Inria Nancy - Grand Est"'

1. On a class of switched linear systems

Author

CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) ; CNRS - CNRS - INRIA - Université de Lorraine, Institut Elie Cartan Nancy (IECN) ; CNRS - INRIA - Université Henri Poincaré - Nancy I - Université Nancy II - Institut National Polytechnique de Lorraine (INPL), Centre de recherche en automatique de Nancy (CRAN) ; CNRS - Université Henri Poincaré - Nancy I - Institut National Polytechnique de Lorraine (INPL), CPER MISN: AOC action SC2, European Project : 232501, SME, FP7-SME-2008-1, HYCON(2009), Serres, Ulysse, Vivalda, Jean-Claude, Riedinger, Pierre, CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) ; CNRS - CNRS - INRIA - Université de Lorraine, Institut Elie Cartan Nancy (IECN) ; CNRS - INRIA - Université Henri Poincaré - Nancy I - Université Nancy II - Institut National Polytechnique de Lorraine (INPL), Centre de recherche en automatique de Nancy (CRAN) ; CNRS - Université Henri Poincaré - Nancy I - Institut National Polytechnique de Lorraine (INPL), CPER MISN: AOC action SC2, European Project : 232501, SME, FP7-SME-2008-1, HYCON(2009), Serres, Ulysse, Vivalda, Jean-Claude, and Riedinger, Pierre

Abstract

International audience, This paper investigates sucient conditions for the convergence to zero of the trajectories of linear switched systems. We provide a collection of results that use weak dwell-time, dwell-time, strong dwell-time, permanent and persistent activation hypothesis. The obtained results are shown to be tight by counterexample. Finally, we apply our result to the three-cell converter.

2. An LQ sub-optimal stabilizing feedback law for switched linear systems

Author

Centre de Recherche en Automatique de Nancy (CRAN) ; Université de Lorraine - CNRS, CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) ; CNRS - CNRS - INRIA - Université de Lorraine, Équations aux dérivées partielles ; Institut Élie Cartan de Lorraine (IECL) ; Université de Lorraine - CNRS - Université de Lorraine - CNRS, CORIDA, European Project : 257462, ICT, FP7-ICT-2009-5, HYCON2(2010), Riedinger, Pierre, Vivalda, Jean-Claude, Centre de Recherche en Automatique de Nancy (CRAN) ; Université de Lorraine - CNRS, CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) ; CNRS - CNRS - INRIA - Université de Lorraine, Équations aux dérivées partielles ; Institut Élie Cartan de Lorraine (IECL) ; Université de Lorraine - CNRS - Université de Lorraine - CNRS, CORIDA, European Project : 257462, ICT, FP7-ICT-2009-5, HYCON2(2010), Riedinger, Pierre, and Vivalda, Jean-Claude

Abstract

International audience, The aim of this paper is the design of a stabilizing feedback law for contin- uous time linear switched system based on the optimization of a quadratic criterion. The main result provides a control Lyapunov function and a feed- back switching law leading to sub optimal solutions. As the Lyapunov func- tion defines a tight upper bound on the value function of the optimization problem, the sub optimality is guaranteed. Practically, the switching law is easy to apply and the design procedure is effective if there exists at least a controllable convex combination of the subsystems.

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