{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

3 Citations (Scopus)


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 languageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)978-1-5386-1395-5
ISBN (Print)978-1-5386-1396-2
Publication statusPublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, (CDC2018) - Miami, United States
Duration: 17 Dec 201819 Dec 2018
Conference number: 57


Conference57th IEEE Conference on Decision and Control, (CDC2018)
Abbreviated titleCDC 2018
CountryUnited States

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