Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems
Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condi...
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Veröffentlicht in: | IEEE transactions on control systems technology 2023-03, Vol.31 (2), p.977-984 |
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creator | Liu, Zidong Zhao, Dongya Feng, Jiehua Zhang, Ye Spurgeon, Sarah K. |
description | Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condition based on linear matrix inequalities (LMIs) is derived and the stability is proven by the Lyapunov method. The proposed approach can ensure that the states which are subject to a consensus constraint achieve consensus, while those without a consensus constraint track their own set points. Finally, numerical simulations and a solution proportioning experiment are developed to validate the effectiveness of the proposed method. |
doi_str_mv | 10.1109/TCST.2022.3207931 |
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A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condition based on linear matrix inequalities (LMIs) is derived and the stability is proven by the Lyapunov method. The proposed approach can ensure that the states which are subject to a consensus constraint achieve consensus, while those without a consensus constraint track their own set points. Finally, numerical simulations and a solution proportioning experiment are developed to validate the effectiveness of the proposed method.</description><identifier>ISSN: 1063-6536</identifier><identifier>EISSN: 1558-0865</identifier><identifier>DOI: 10.1109/TCST.2022.3207931</identifier><identifier>CODEN: IETTE2</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Chain interconnected delay systems ; Chains ; Control design ; Delays ; Design parameters ; distributed robust control ; Interconnected systems ; Linear matrix inequalities ; Parameter uncertainty ; partial state consensus (PSC) ; Robust control ; Symmetric matrices ; Time-varying systems ; Topology ; Uncertainty</subject><ispartof>IEEE transactions on control systems technology, 2023-03, Vol.31 (2), p.977-984</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c336t-4f41ebdf01cd8f34f5d8e37b55d380b6ffaa141b8b8b4082e02455b18eafdc5d3</citedby><cites>FETCH-LOGICAL-c336t-4f41ebdf01cd8f34f5d8e37b55d380b6ffaa141b8b8b4082e02455b18eafdc5d3</cites><orcidid>0000-0003-3451-0650 ; 0000-0003-1591-3956 ; 0000-0003-0793-4060 ; 0000-0003-3563-3935 ; 0000-0002-1314-8237</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9904861$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/9904861$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Liu, Zidong</creatorcontrib><creatorcontrib>Zhao, Dongya</creatorcontrib><creatorcontrib>Feng, Jiehua</creatorcontrib><creatorcontrib>Zhang, Ye</creatorcontrib><creatorcontrib>Spurgeon, Sarah K.</creatorcontrib><title>Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems</title><title>IEEE transactions on control systems technology</title><addtitle>TCST</addtitle><description>Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condition based on linear matrix inequalities (LMIs) is derived and the stability is proven by the Lyapunov method. The proposed approach can ensure that the states which are subject to a consensus constraint achieve consensus, while those without a consensus constraint track their own set points. Finally, numerical simulations and a solution proportioning experiment are developed to validate the effectiveness of the proposed method.</description><subject>Chain interconnected delay systems</subject><subject>Chains</subject><subject>Control design</subject><subject>Delays</subject><subject>Design parameters</subject><subject>distributed robust control</subject><subject>Interconnected systems</subject><subject>Linear matrix inequalities</subject><subject>Parameter uncertainty</subject><subject>partial state consensus (PSC)</subject><subject>Robust control</subject><subject>Symmetric matrices</subject><subject>Time-varying systems</subject><subject>Topology</subject><subject>Uncertainty</subject><issn>1063-6536</issn><issn>1558-0865</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1Lw0AQhhdRsFZ_gHhZ8Jy639kcJX4VCoqtB0_LJpnFlDRbdzeH_nsTWmQO8x6edwYehG4pWVBKiodNud4sGGFswRnJC07P0IxKqTOilTwfM1E8U5KrS3QV45YQKiTLZ-j7qY0ptNWQoMGfvhpiwh82pNZ2eJ1sAlz6PkIfhzilFHyHnQ-4_LFtj5d9glD7vod66j9BZw94fYgJdvEaXTjbRbg57Tn6ennelG_Z6v11WT6usppzlTLhBIWqcYTWjXZcONlo4HklZcM1qZRz1lJBKz2OIJoBYULKimqwrqlHaI7uj3f3wf8OEJPZ-iH040vD8rxQiinCRooeqTr4GAM4sw_tzoaDocRMBs1k0EwGzcng2Lk7dloA-OeLggitKP8DizZuDw</recordid><startdate>202303</startdate><enddate>202303</enddate><creator>Liu, Zidong</creator><creator>Zhao, Dongya</creator><creator>Feng, Jiehua</creator><creator>Zhang, Ye</creator><creator>Spurgeon, Sarah K.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0003-3451-0650</orcidid><orcidid>https://orcid.org/0000-0003-1591-3956</orcidid><orcidid>https://orcid.org/0000-0003-0793-4060</orcidid><orcidid>https://orcid.org/0000-0003-3563-3935</orcidid><orcidid>https://orcid.org/0000-0002-1314-8237</orcidid></search><sort><creationdate>202303</creationdate><title>Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems</title><author>Liu, Zidong ; Zhao, Dongya ; Feng, Jiehua ; Zhang, Ye ; Spurgeon, Sarah K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c336t-4f41ebdf01cd8f34f5d8e37b55d380b6ffaa141b8b8b4082e02455b18eafdc5d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Chain interconnected delay systems</topic><topic>Chains</topic><topic>Control design</topic><topic>Delays</topic><topic>Design parameters</topic><topic>distributed robust control</topic><topic>Interconnected systems</topic><topic>Linear matrix inequalities</topic><topic>Parameter uncertainty</topic><topic>partial state consensus (PSC)</topic><topic>Robust control</topic><topic>Symmetric matrices</topic><topic>Time-varying systems</topic><topic>Topology</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Zidong</creatorcontrib><creatorcontrib>Zhao, Dongya</creatorcontrib><creatorcontrib>Feng, Jiehua</creatorcontrib><creatorcontrib>Zhang, Ye</creatorcontrib><creatorcontrib>Spurgeon, Sarah K.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on control systems technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Liu, Zidong</au><au>Zhao, Dongya</au><au>Feng, Jiehua</au><au>Zhang, Ye</au><au>Spurgeon, Sarah K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems</atitle><jtitle>IEEE transactions on control systems technology</jtitle><stitle>TCST</stitle><date>2023-03</date><risdate>2023</risdate><volume>31</volume><issue>2</issue><spage>977</spage><epage>984</epage><pages>977-984</pages><issn>1063-6536</issn><eissn>1558-0865</eissn><coden>IETTE2</coden><abstract>Partial state consensus (PSC) is investigated for chain interconnected systems with time-varying delays and parameter uncertainties. A novel design philosophy of PSC control is proposed and a sequential calculation method is presented to guarantee the robustness of the controller. A sufficient condition based on linear matrix inequalities (LMIs) is derived and the stability is proven by the Lyapunov method. The proposed approach can ensure that the states which are subject to a consensus constraint achieve consensus, while those without a consensus constraint track their own set points. 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subjects | Chain interconnected delay systems Chains Control design Delays Design parameters distributed robust control Interconnected systems Linear matrix inequalities Parameter uncertainty partial state consensus (PSC) Robust control Symmetric matrices Time-varying systems Topology Uncertainty |
title | Distributed Robust Partial State Consensus Control for Chain Interconnected Delay Systems |
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