Reverse Average Dwell-Times for Networked Control Systems

Stefan H.J. Heijmans; Romain Postoyan; Dragan Nesic; W. P.Maurice H. Heemels

doi:10.1109/CDC40024.2019.9028864

Reverse Average Dwell-Times for Networked Control Systems

Stefan H.J. Heijmans, Romain Postoyan, Dragan Nesic, W. P.Maurice H. Heemels

Control Systems Technology

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

3 Citations (Scopus)

Abstract

Most emulation-based results in networked control systems rely on a bound on the maximal allowable transmission interval (MATI) under which stability is preserved. However, having only such a MATI condition can lead to conservative results, as large values of transmission intervals may only occur sporadically, while the typical transmission interval is much smaller. In this paper, we therefore propose, in addition to the existence of a MATI, to also impose a bound on the average allowable transmission interval, expressed in terms of a reverse average dwell-time (RADT) condition on the transmission intervals. We provide joint conditions on the RADT and the MATI such that stability of the NCS can still be guaranteed, which can, in addition, lead to significant higher values of the MATI itself. The strengths of these new results are illustrated on a numerical example, showing a 484% improvement of the MATI, while still guaranteeing stability.

Original language	English
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	Institute of Electrical and Electronics Engineers
Pages	5480-5485
Number of pages	6
ISBN (Electronic)	9781728113982
DOIs	https://doi.org/10.1109/CDC40024.2019.9028864
Publication status	Published - Dec 2019
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France, Nice, France Duration: 11 Dec 2019 → 13 Dec 2019 Conference number: 58 https://cdc2019.ieeecss.org/

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Abbreviated title	CDC 2019
Country/Territory	France
City	Nice
Period	11/12/19 → 13/12/19
Internet address	https://cdc2019.ieeecss.org/

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10.1109/CDC40024.2019.9028864

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title = "Reverse Average Dwell-Times for Networked Control Systems",

abstract = "Most emulation-based results in networked control systems rely on a bound on the maximal allowable transmission interval (MATI) under which stability is preserved. However, having only such a MATI condition can lead to conservative results, as large values of transmission intervals may only occur sporadically, while the typical transmission interval is much smaller. In this paper, we therefore propose, in addition to the existence of a MATI, to also impose a bound on the average allowable transmission interval, expressed in terms of a reverse average dwell-time (RADT) condition on the transmission intervals. We provide joint conditions on the RADT and the MATI such that stability of the NCS can still be guaranteed, which can, in addition, lead to significant higher values of the MATI itself. The strengths of these new results are illustrated on a numerical example, showing a 484% improvement of the MATI, while still guaranteeing stability.",

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note = "58th IEEE Conference on Decision and Control, CDC 2019, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

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Heijmans, SHJ, Postoyan, R, Nesic, D & Heemels, WPMH 2019, Reverse Average Dwell-Times for Networked Control Systems. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9028864, Institute of Electrical and Electronics Engineers, pp. 5480-5485, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 11/12/19. https://doi.org/10.1109/CDC40024.2019.9028864

Reverse Average Dwell-Times for Networked Control Systems. / Heijmans, Stefan H.J.; Postoyan, Romain; Nesic, Dragan et al.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. Institute of Electrical and Electronics Engineers, 2019. p. 5480-5485 9028864.

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

TY - GEN

T1 - Reverse Average Dwell-Times for Networked Control Systems

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AU - Postoyan, Romain

AU - Nesic, Dragan

AU - Heemels, W. P.Maurice H.

N1 - Conference code: 58

PY - 2019/12

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AB - Most emulation-based results in networked control systems rely on a bound on the maximal allowable transmission interval (MATI) under which stability is preserved. However, having only such a MATI condition can lead to conservative results, as large values of transmission intervals may only occur sporadically, while the typical transmission interval is much smaller. In this paper, we therefore propose, in addition to the existence of a MATI, to also impose a bound on the average allowable transmission interval, expressed in terms of a reverse average dwell-time (RADT) condition on the transmission intervals. We provide joint conditions on the RADT and the MATI such that stability of the NCS can still be guaranteed, which can, in addition, lead to significant higher values of the MATI itself. The strengths of these new results are illustrated on a numerical example, showing a 484% improvement of the MATI, while still guaranteeing stability.

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ER -

Reverse Average Dwell-Times for Networked Control Systems

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