Optimal Networked Control Systems with State-dependent Markov Channels. Hu, B. & Tamba, T., A. In The 2021 American Control Conference, Louisiana, New Orleans, US, May 26-28, 2021. abstract bibtex This paper considers a co-design problem for indus- trial networked control systems to ensure both system stability and resources efficiency. The assurance of system stability and efficiency is challenging due to the fact that wireless com- munications in industrial environments are subject to shadow fading, and are stochastically correlated with their surround- ing environments. To address such challenges, this paper first introduces a novel state-dependent Markov channel model that explicitly captures the state-dependent features of the wireless communications by correlating model’s transition probabilities with environment states. Under the proposed channel model, sufficient conditions on maximum allowable transmission interval are presented to ensure almost sure asymptotic stability for the nonlinear networked control system. With the stability con- straints, the co-design problem is then formulated as constrained optimization problems, which can be efficiently solved by SDP programs for a two-state Markov channel. Simulation results are provided to demonstrate the efficacy of the proposed co-design scheme.
@inproceedings{
title = {Optimal Networked Control Systems with State-dependent Markov Channels},
type = {inproceedings},
year = {2021},
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created = {2021-02-27T23:46:49.610Z},
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last_modified = {2021-02-28T20:47:38.715Z},
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abstract = {This paper considers a co-design problem for indus- trial networked control systems to ensure both system stability and resources efficiency. The assurance of system stability and efficiency is challenging due to the fact that wireless com- munications in industrial environments are subject to shadow fading, and are stochastically correlated with their surround- ing environments. To address such challenges, this paper first introduces a novel state-dependent Markov channel model that explicitly captures the state-dependent features of the wireless communications by correlating model’s transition probabilities with environment states. Under the proposed channel model, sufficient conditions on maximum allowable transmission interval are presented to ensure almost sure asymptotic stability for the nonlinear networked control system. With the stability con- straints, the co-design problem is then formulated as constrained optimization problems, which can be efficiently solved by SDP programs for a two-state Markov channel. Simulation results are provided to demonstrate the efficacy of the proposed co-design scheme.},
bibtype = {inproceedings},
author = {Hu, Bin and Tamba, Tua A},
booktitle = {The 2021 American Control Conference, Louisiana, New Orleans, US, May 26-28}
}
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