Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization

This article establishes a systematic methodology to improve the utilization efficiency of probabilistic information for the stability analysis and stabilizing control of discrete-time semi-Markov jump linear systems (SMJLSs). The transition and sojourn information is incompletely known, and the cou...

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Main Authors: Ning, Zepeng, Colaneri, Patrizio, Yin, Xunyuan
Other Authors: School of Chemistry, Chemical Engineering and Biotechnology
Format: Article
Language:English
Published: 2024
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Online Access:https://hdl.handle.net/10356/180593
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1805932024-10-18T15:32:07Z Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization Ning, Zepeng Colaneri, Patrizio Yin, Xunyuan School of Chemistry, Chemical Engineering and Biotechnology Engineering Incomplete transition and sojourn information Polyhedral approximation This article establishes a systematic methodology to improve the utilization efficiency of probabilistic information for the stability analysis and stabilizing control of discrete-time semi-Markov jump linear systems (SMJLSs). The transition and sojourn information is incompletely known, and the coupling between the known (or unknown) transition and unknown (or known) sojourn information renders the known probabilistic information difficult to be fully leveraged, which can lead to conservative results in system analysis and synthesis. To approximate the unknown transition and sojourn information, a polyhedral approach is developed, which facilitates the incorporation of the known probabilistic information coupled with unknown information. Accordingly, novel vertex-based Lyapunov functions are proposed to establish stability conditions. New criteria are established for the stability analysis and control of SMJLSs by incorporating all the jointly known transition and sojourn information, all the known probabilistic information, and both the known and the approximation of unknown probabilistic information, respectively. The effectiveness and superiority of the theoretical results are illustrated by a numerical example and a simulated continuous stirred tank reactor process. Ministry of Education (MOE) National Research Foundation (NRF) Public Utilities Board (PUB) Submitted/Accepted version This research is supported by the National Research Foundation, Singapore, and PUB, Singapore’s National Water Agency under its RIE2025 Urban Solutions and Sustainability (USS) (Water) Centre of Excellence (CoE) Programme, awarded to Nanyang Environment & Water Research Institute (NEWRI), Nanyang Technological University (NTU), Singapore. This research is also supported in part by Ministry of Education, Singapore, under its Academic Research Fund Tier 1 (RS15/21 & RG63/22), and in part by the Eric and Wendy Schmidt AI in Science Postdoctoral Fellowship, a program of Schmidt Futures. 2024-10-14T05:56:31Z 2024-10-14T05:56:31Z 2024 Journal Article Ning, Z., Colaneri, P. & Yin, X. (2024). Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization. IEEE Transactions On Automatic Control. https://dx.doi.org/10.1109/TAC.2024.3475421 0018-9286 https://hdl.handle.net/10356/180593 10.1109/TAC.2024.3475421 en RS15/21 RG63/22 IEEE Transactions on Automatic Control © 2024 IEEE. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1109/TAC.2024.3475421. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering
Incomplete transition and sojourn information
Polyhedral approximation
spellingShingle Engineering
Incomplete transition and sojourn information
Polyhedral approximation
Ning, Zepeng
Colaneri, Patrizio
Yin, Xunyuan
Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
description This article establishes a systematic methodology to improve the utilization efficiency of probabilistic information for the stability analysis and stabilizing control of discrete-time semi-Markov jump linear systems (SMJLSs). The transition and sojourn information is incompletely known, and the coupling between the known (or unknown) transition and unknown (or known) sojourn information renders the known probabilistic information difficult to be fully leveraged, which can lead to conservative results in system analysis and synthesis. To approximate the unknown transition and sojourn information, a polyhedral approach is developed, which facilitates the incorporation of the known probabilistic information coupled with unknown information. Accordingly, novel vertex-based Lyapunov functions are proposed to establish stability conditions. New criteria are established for the stability analysis and control of SMJLSs by incorporating all the jointly known transition and sojourn information, all the known probabilistic information, and both the known and the approximation of unknown probabilistic information, respectively. The effectiveness and superiority of the theoretical results are illustrated by a numerical example and a simulated continuous stirred tank reactor process.
author2 School of Chemistry, Chemical Engineering and Biotechnology
author_facet School of Chemistry, Chemical Engineering and Biotechnology
Ning, Zepeng
Colaneri, Patrizio
Yin, Xunyuan
format Article
author Ning, Zepeng
Colaneri, Patrizio
Yin, Xunyuan
author_sort Ning, Zepeng
title Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
title_short Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
title_full Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
title_fullStr Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
title_full_unstemmed Stability analysis and stabilization of semi-Markov jump linear systems with improved efficiency of probabilistic information utilization
title_sort stability analysis and stabilization of semi-markov jump linear systems with improved efficiency of probabilistic information utilization
publishDate 2024
url https://hdl.handle.net/10356/180593
_version_ 1814777710231158784