Stability Guarantees for a Class of Networked Control Systems Subject to Stochastic Delays

Stability guarantees in networked control systems (NCSs) have traditionally been addressed in the deterministic setting using the concepts of maximum allowable transmit interval and maximum allowable delay (MAD). Motivated by the widespread use of nondeterministic networks in modern industrial NCSs,...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 69; no. 12; pp. 8884 - 8891
Main Authors Schlotterbeck, Constanza, Gallegos, Javier A., Teel, Andrew R., Nunez, Felipe
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Asymptotic stability
Asymptotic stability in probability
Control stability
Control systems
Delays
Feedback control
Network control
Networked control systems
networked control systems (NCSs)
Random variables
Sensors
Stability
Stability criteria
stochastic hybrid systems
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Summary:Stability guarantees in networked control systems (NCSs) have traditionally been addressed in the deterministic setting using the concepts of maximum allowable transmit interval and maximum allowable delay (MAD). Motivated by the widespread use of nondeterministic networks in modern industrial NCSs, this note aims to extend the analysis to the stochastic setting by considering a setup where the NCS faces stochastic communication delays, which take values over the MAD with positive probability. Conditions for uniform asymptotic stability in probability are given and their practical relevance is illustrated through a set of experiments performed on a real testbed.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2024.3418989