Emulation-based output regulation of linear networked control systems subject to scheduling and uncertain transmission intervals

Daniele Astolfi (1, 2) , Romain Postoyan (3) , Nathan van de Wouw (4)

1 CNRS - Centre National de la Recherche Scientifique
2 LAGEPP - Laboratoire d'automatique, de génie des procédés et de génie pharmaceutique
3 CRAN - Centre de Recherche en Automatique de Nancy
4 TU/e - Eindhoven University of Technology [Eindhoven]

We investigate output regulation for linear networked control systems using the emulation approach. We consider a regulator solving the problem for linear systems in the absence of the network, by following the Francis-Wonham framework. Next, the network is taken into consideration, in particular the induced time-varying inter-transmission intervals and scheduling constraints, and we model the overall system dynamics as a hybrid system. We show that only practical regulation can be achieved in general since the steady-state control input steering the output to zero cannot be generated in the networked context (in general). Explicit upper bounds on the output asymptotic gain and on the maximum allowable transmission interval guaranteeing boundedness of the closed-loop trajectories are provided, which are shown to be related.

Domaines: Systèmes et contrôle [cs.SY]

Daniele Astolfi, Romain Postoyan, Nathan van de Wouw. Emulation-based output regulation of linear networked control systems subject to scheduling and uncertain transmission intervals. 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019, Sep 2019, Vienna, Austria. ⟨hal-02411366⟩