Singularly perturbed networked control systems

S.H.J. Heijmans, Dragan Nešić, Romain Postoyan, W.P.M.H. Heemels

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)

Abstract

We study networked control systems (NCSs) where the controller is given by a state-feedback law and the plant is modeled by a dynamical system evolving on two time-scales, representing a characterization by some slow and fast dynamics. When using the stability analysis frameworks for NCSs from the literature, this time-scale separation is ignored and, as a result, the slow dynamics are in general updated at the same rate as the fast dynamics, leading to many redundant transmissions of the slow dynamics. Therefore, we assume in this paper that the slow dynamics and fast dynamics can be transmitted separately over the network, allowing us to use techniques inspired by singular perturbation methods in the stability analysis. That is, we show by means of a Lyapunov-based proof how to obtain conditions on the transmission rates (expressed in maximal allowable transmission intervals (MATIs)) for the slow and fast dynamics separately such that stability of the NCS is guaranteed, based only on approximated models of the slow and the fast dynamics.
Original languageEnglish
Pages (from-to)106-111
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number23
DOIs
Publication statusPublished - Aug 2018
Event7th IFAC Workshop on Distributed Estimation and Control in Networked Systems NECSYS 2018 - Groningen, Netherlands
Duration: 27 Aug 201828 Aug 2018

Keywords

  • Networked control systems
  • singular perturbed systems
  • hybrid dynamical systems

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