Dynamic output feedback for switched linear systems based on a LQG design

Pierre Riedinger (1) , Jean-Claude Vivalda (2, 3)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 CORIDA - Robust control of infinite dimensional systems and applications
3 IECL - Institut Élie Cartan de Lorraine

The aim of this paper is the extend of the LQG design for linear system to the case of switched linear systems in continuous time. The main result provides a control Lyapunov function and a dynamic output feedback law leading to sub-optimal solutions. Practically, the dynamic output feedback is easy to apply and the design procedure is effective if there exists at least one controllable and observable convex combination of the subsystems. Practical applications concern the large class of power converters.

Mots clés: Output feedback; Switched systems; DC-DC Power converters; LQG

Domaines: Automatique / Robotique; Optimisation et contrôle [math.OC]; Recherche d'information [cs.IR]

Pierre Riedinger, Jean-Claude Vivalda. Dynamic output feedback for switched linear systems based on a LQG design. Automatica, 2015, 54, pp.235-245. ⟨10.1016/j.automatica.2015.02.007⟩. ⟨hal-01138922⟩