A generalized hybrid Lyapunov proof for networked control systems: improving the maximum allowable transmission interval

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

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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.
Original languageEnglish
Title of host publication57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages428-433
Number of pages6
ISBN (Electronic)9781538613955
DOIs
Publication statusPublished - 18 Jan 2019

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    Heijmans, S. H. J., Nešić, D., Postoyan, R., & Heemels, W. P. M. H. (2019). A generalized hybrid Lyapunov proof for networked control systems: improving the maximum allowable transmission interval . In 57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018 (pp. 428-433). [8619687] Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2018.8619687