{L}-{2}-stability criterion for systems with decentralized asynchronous controllers

Jijju Thomas; Laurentiu Hetel; Christophe Fiter; Nathan van de Wouw; Jean Pierre Richard

doi:10.1109/CDC.2018.8619094

{L}-{2}-stability criterion for systems with decentralized asynchronous controllers

Jijju Thomas, Laurentiu Hetel, Christophe Fiter, Nathan van de Wouw, Jean Pierre Richard

Dynamics and Control

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

8 Citations (Scopus)

Abstract

This paper deals with the stability analysis of decentralized sampled-data Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency which translates to asynchrony between sensors and actuators. The errors induced due to sampling and asynchronicity are modelled using two different operator approaches, leading to simple \mathcal{L}-{2}-stability criteria for the overall decentralized control system. The simplicity of the obtained criteria is illustrated by an example and simulation results exhibit the effectiveness of the approach.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	6638-6643
Number of pages	6
ISBN (Electronic)	978-1-5386-1395-5
ISBN (Print)	978-1-5386-1396-2
DOIs	https://doi.org/10.1109/CDC.2018.8619094
Publication status	Published - 18 Jan 2019
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018 Conference number: 57

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Abbreviated title	CDC 2018
Country/Territory	United States
City	Miami
Period	17/12/18 → 19/12/18

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10.1109/CDC.2018.8619094

Cite this

Thomas, J., Hetel, L., Fiter, C., van de Wouw, N., & Richard, J. P. (2019). {L}-{2}-stability criterion for systems with decentralized asynchronous controllers. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 6638-6643). [8619094] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2018.8619094

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title = "{L}-{2}-stability criterion for systems with decentralized asynchronous controllers",

abstract = "This paper deals with the stability analysis of decentralized sampled-data Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency which translates to asynchrony between sensors and actuators. The errors induced due to sampling and asynchronicity are modelled using two different operator approaches, leading to simple \mathcal{L}-{2}-stability criteria for the overall decentralized control system. The simplicity of the obtained criteria is illustrated by an example and simulation results exhibit the effectiveness of the approach.",

author = "Jijju Thomas and Laurentiu Hetel and Christophe Fiter and {van de Wouw}, Nathan and Richard, {Jean Pierre}",

year = "2019",

month = jan,

day = "18",

doi = "10.1109/CDC.2018.8619094",

language = "English",

isbn = "978-1-5386-1396-2",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers",

pages = "6638--6643",

booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",

address = "United States",

note = "57th IEEE Conference on Decision and Control, CDC 2018, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

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Thomas, J, Hetel, L, Fiter, C, van de Wouw, N & Richard, JP 2019, {L}-{2}-stability criterion for systems with decentralized asynchronous controllers. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619094, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers, Piscataway, pp. 6638-6643, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, Florida, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8619094

{L}-{2}-stability criterion for systems with decentralized asynchronous controllers. / Thomas, Jijju; Hetel, Laurentiu; Fiter, Christophe et al.

2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2019. p. 6638-6643 8619094 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

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N2 - This paper deals with the stability analysis of decentralized sampled-data Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency which translates to asynchrony between sensors and actuators. The errors induced due to sampling and asynchronicity are modelled using two different operator approaches, leading to simple \mathcal{L}-{2}-stability criteria for the overall decentralized control system. The simplicity of the obtained criteria is illustrated by an example and simulation results exhibit the effectiveness of the approach.

AB - This paper deals with the stability analysis of decentralized sampled-data Linear Time Invariant (LTI) control systems with asynchronous sensors and actuators. We consider the case where each controller in the decentralized setting has its own sampling and actuation frequency which translates to asynchrony between sensors and actuators. The errors induced due to sampling and asynchronicity are modelled using two different operator approaches, leading to simple \mathcal{L}-{2}-stability criteria for the overall decentralized control system. The simplicity of the obtained criteria is illustrated by an example and simulation results exhibit the effectiveness of the approach.

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Thomas J, Hetel L, Fiter C, van de Wouw N, Richard JP. {L}-{2}-stability criterion for systems with decentralized asynchronous controllers. In 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 6638-6643. 8619094. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8619094

{L}-{2}-stability criterion for systems with decentralized asynchronous controllers

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