A Generalized Hybrid Lyapunov Proof for Networked Control Systems: Improving the Maximum Allowable Transmission Interval

Stefan H. J. Heijmans1, Dragan Nesic2, Romain Postoyan3, Maurice Heemels1

  • 1Eindhoven University of Technology
  • 2University of Melbourne
  • 3CNRS-CRAN

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Category

Regular Session

Sessions

10:00 - 12:00 | Mon 17 Dec | Glimmer 4 | MoA12

Networked Control Systems I

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Abstract

A popular design framework for networked control system (NCSs) is the emulation-based approach combined with hybrid dynamical systems analysis techniques. In the rich literature regarding this framework, various bounds on the maximal allowable transmission interval (MATI) are provided to guarantee stability properties of the NCS using Lyapunov-based arguments for hybrid systems. In this work, we provide a generalization of these Lyapunov-based proofs, showing how the existing results for the MATI can be improved by only considering a different, more general hybrid Lyapunov function, while not altering the conditions in the analysis itself.

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