An LQ sub-optimal stabilizing feedback law for switched linear systemsReport as inadecuate




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1 CRAN - Centre de Recherche en Automatique de Nancy 2 EDP - Equations aux dérivées partielles IECL - Institut Élie Cartan de Lorraine 3 CORIDA - Robust control of infinite dimensional systems and applications IECN - Institut Élie Cartan de Nancy, LMAM - Laboratoire de Mathématiques et Applications de Metz, Inria Nancy - Grand Est

Abstract : 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.

Keywords : switched linear systems LQ regulator





Author: Pierre Riedinger - Jean-Claude Vivalda -

Source: https://hal.archives-ouvertes.fr/



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