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Optimal LQG Control of Networked Systems under Traffic-Correlated Delay and Dropout
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-9940-5929
2022 (English)In: IEEE Control Systems Letters, E-ISSN 2475-1456, Vol. 6, p. 1280-1285, article id 9462479Article in journal (Refereed) Published
Abstract [en]

Transmission delay and packet dropout are inevitable network-induced phenomena that severely compromise the control performance of network control systems. The real-time network traffic is a major dynamic parameter that directly influences delay and reliability of transmission channels, and thus, acts as an unavoidable source of induced coupling among all network sharing systems. In this letter, we analyze the effects of traffic-induced delay and dropout on the finite-horizon quality-of-control of an individual stochastic linear time-invariant system, where quality-of-control is measured by an expected quadratic cost function. We model delay and dropout of the channel as generic stochastic processes that are correlated with the real-time network traffic induced by the rest of network users. This approach provides a pathway to determine the required networking capabilities to achieve a guaranteed quality-of-control for systems operating over a shared-traffic network. Numerical evaluations are performed using realistic stochastic models for delay and dropout. As a special case, we consider exponential distribution for delay with its rate parameter being traffic-correlated, and traffic-correlated Markov-based packet drop model.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE) , 2022. Vol. 6, p. 1280-1285, article id 9462479
Keywords [en]
latency, network traffic, Networked control systems, packet loss, quality-of-control, Cost functions, Invariance, Linear control systems, Linear systems, Random processes, Real time systems, Stochastic control systems, Stochastic models, Stochastic systems, Time sharing systems, Time varying control systems, Control performance, Exponential distributions, Linear time invariant systems, Network control systems, Quadratic cost functions, Quality of controls, Transmission channels, Transmission delays, Quality control
National Category
Control Engineering Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-311115DOI: 10.1109/LCSYS.2021.3091492ISI: 000670539000001Scopus ID: 2-s2.0-85112227846OAI: oai:DiVA.org:kth-311115DiVA, id: diva2:1654389
Note

QC 20220427

Available from: 2022-04-27 Created: 2022-04-27 Last updated: 2023-08-25Bibliographically approved

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Johansson, Karl H.

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