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

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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.

LanguageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages6638-6643
Number of pages6
ISBN (Electronic)978-1-5386-1395-5
ISBN (Print)978-1-5386-1396-2
DOIs
StatePublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: 17 Dec 201819 Dec 2018
Conference number: 57

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
Abbreviated titleCDC 2018
CountryUnited States
CityMiami
Period17/12/1819/12/18

Fingerprint

Stability criteria
Stability Criteria
Decentralized
Actuator
Actuators
Control System
Sampling
Control systems
Controller
Sensor
Controllers
Decentralized control
Decentralized Control
Sensors
Mathematical operators
Linear Time
Stability Analysis
Simplicity
Invariant
Operator

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] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.1109/CDC.2018.8619094
Thomas, Jijju ; Hetel, Laurentiu ; Fiter, Christophe ; van de Wouw, Nathan ; Richard, Jean Pierre. / {L}-{2}-stability criterion for systems with decentralized asynchronous controllers. 2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2019. pp. 6638-6643
@inproceedings{8c7904582e7e443d8718e86c72b712da,
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 = "1",
day = "18",
doi = "10.1109/CDC.2018.8619094",
language = "English",
isbn = "978-1-5386-1396-2",
pages = "6638--6643",
booktitle = "2018 IEEE Conference on Decision and Control, CDC 2018",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

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, Institute of Electrical and Electronics Engineers, Piscataway, pp. 6638-6643, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. DOI: 10.1109/CDC.2018.8619094

{L}-{2}-stability criterion for systems with decentralized asynchronous controllers. / Thomas, Jijju; Hetel, Laurentiu; Fiter, Christophe; van de Wouw, Nathan; Richard, Jean Pierre.

2018 IEEE Conference on Decision and Control, CDC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2019. p. 6638-6643 8619094.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - {L}-{2}-stability criterion for systems with decentralized asynchronous controllers

AU - Thomas,Jijju

AU - Hetel,Laurentiu

AU - Fiter,Christophe

AU - van de Wouw,Nathan

AU - Richard,Jean Pierre

PY - 2019/1/18

Y1 - 2019/1/18

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.

UR - http://www.scopus.com/inward/record.url?scp=85062176936&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619094

DO - 10.1109/CDC.2018.8619094

M3 - Conference contribution

SN - 978-1-5386-1396-2

SP - 6638

EP - 6643

BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

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. Available from, DOI: 10.1109/CDC.2018.8619094