Conference Proceedings

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

Stefan HJ Heijmans, Dragan Nesic, Romain Postoyan, WP Maurice H Heemels

2018 IEEE Conference on Decision and Control (CDC) | IEEE | Published : 2018

Abstract

A popular design framework for networked control systems (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.

Grants

Awarded by Innovational Research Incentives Scheme under the VICI grant 'Wireless control systems: A new frontier in automation' - Netherlands Organization for Scientific Research (NWO)


Awarded by Australian Research Council


Funding Acknowledgements

S.H.J. Heijmans and W.P.M.H. Heemels are with the Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands. Their work is supported by the Innovational Research Incentives Scheme under the VICI grant 'Wireless control systems: A new frontier in automation' (No. 11382), which is (partly) financed by the Netherlands Organization for Scientific Research (NWO).D. Nesic is with MIDAS Laboratory, the Department of Electrical and Electronic Engineering, the University of Melbourne, Australia. His work was supported under the Australian Research Council under the Discovery Project DP170104099.