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Communication Dans Un Congrès Année : 2014

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

Résumé

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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Dates et versions

hal-00874921 , version 1 (19-10-2013)

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Pierre Riedinger, Jean-Claude Vivalda. An LQ sub-optimal stabilizing feedback law for switched linear systems. 17th International Conference on Hybrid Systems: Computation and Control, HSCC 2014, Apr 2014, Berlin, Germany. pp.21-30, ⟨10.1145/2562059.2562121⟩. ⟨hal-00874921⟩
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