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

doi:10.1109/CDC.2018.8619687

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

Control Systems Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

6 Citations (Scopus)

1 Downloads (Pure)

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 language	English
Title of host publication	57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	428-433
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8619687
Publication status	Published - 18 Jan 2019

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10.1109/CDC.2018.8619687

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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). Article 8619687 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2018.8619687

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Heijmans, SHJ, Nešić, D, Postoyan, R & Heemels, WPMH 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., 8619687, Institute of Electrical and Electronics Engineers, Piscataway, pp. 428-433. https://doi.org/10.1109/CDC.2018.8619687

A generalized hybrid Lyapunov proof for networked control systems: improving the maximum allowable transmission interval . / Heijmans, S.H.J.; Nešić, Dragan; Postoyan, Romain et al.
57th IEEE Conference on Decision and Control, CDC 2018, Dec 2018, Miami, United States. 2018. Piscataway: Institute of Electrical and Electronics Engineers, 2019. p. 428-433 8619687.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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Heijmans SHJ, Nešić D, Postoyan R, Heemels WPMH. 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. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 428-433. 8619687 doi: 10.1109/CDC.2018.8619687

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

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