Model matching of input/state switched asynchronous sequential machines with the external switching signal
This article investigates the input/state model matching problem of switched asynchronous sequential machines (ASMs) with the external switching signal in the framework of corrective control theory. The considered switched ASM is governed by the external switching signal that arbitrarily changes the...
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| Published in | Nonlinear analysis. Hybrid systems Vol. 49; p. 101367 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.08.2023
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| Abstract | This article investigates the input/state model matching problem of switched asynchronous sequential machines (ASMs) with the external switching signal in the framework of corrective control theory. The considered switched ASM is governed by the external switching signal that arbitrarily changes the mode of the switched ASM, prompting the active submachine into unpredictable state drift. We address the existence condition and design procedure for a proper corrective controller that matches the stable-state behavior of the closed-loop system to that of a reference model under any switching sequence. An illustrative example is provided for demonstrating the synthesis procedure of the proposed corrective controller. Compared with the prior work, the subject of this study is more challenging since rather than manipulated in favor of attaining model matching, the switching signal inflicts adversarial dynamic constraint that must be overcome by the controller.
•Novel switched asynchronous sequential machine model with the external switching signal.•Mathematical framework for analysis of switched ASMs.•Model matching of switched ASMs under arbitrary switching signal.•Corrective controller overcoming adverse effects caused by switching operations. |
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| AbstractList | This article investigates the input/state model matching problem of switched asynchronous sequential machines (ASMs) with the external switching signal in the framework of corrective control theory. The considered switched ASM is governed by the external switching signal that arbitrarily changes the mode of the switched ASM, prompting the active submachine into unpredictable state drift. We address the existence condition and design procedure for a proper corrective controller that matches the stable-state behavior of the closed-loop system to that of a reference model under any switching sequence. An illustrative example is provided for demonstrating the synthesis procedure of the proposed corrective controller. Compared with the prior work, the subject of this study is more challenging since rather than manipulated in favor of attaining model matching, the switching signal inflicts adversarial dynamic constraint that must be overcome by the controller.
•Novel switched asynchronous sequential machine model with the external switching signal.•Mathematical framework for analysis of switched ASMs.•Model matching of switched ASMs under arbitrary switching signal.•Corrective controller overcoming adverse effects caused by switching operations. |
| ArticleNumber | 101367 |
| Author | Huang, Jin-Jie Hao, Xian-Zhi Yang, Jung-Min |
| Author_xml | – sequence: 1 givenname: Xian-Zhi surname: Hao fullname: Hao, Xian-Zhi email: hxz_man@163.com organization: School of Computer Science and Technology, Harbin University of Science and Technology, 52 Xuefu Road, Nangang District, Harbin 150080, China – sequence: 2 givenname: Jin-Jie surname: Huang fullname: Huang, Jin-Jie email: jjhuangps@163.com organization: School of Computer Science and Technology, Harbin University of Science and Technology, 52 Xuefu Road, Nangang District, Harbin 150080, China – sequence: 3 givenname: Jung-Min orcidid: 0000-0003-1743-1061 surname: Yang fullname: Yang, Jung-Min email: jmyang@ee.knu.ac.kr organization: School of Electronics Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea |
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| Cites_doi | 10.1109/MDAT.2015.2413759 10.1080/00207170600665022 10.1016/j.nahs.2014.12.002 10.1016/j.amc.2016.05.010 10.1080/00207178908559769 10.1109/TAC.2013.2259957 10.1080/00207179.2018.1441552 10.1109/TAC.2002.804474 10.3166/ejc.18.286-300 10.1080/00207179608921696 10.1109/TAC.2011.2178629 10.1016/j.future.2017.03.023 10.1109/TAC.2003.812814 10.1007/s12555-019-0148-8 10.1109/TAC.2008.2012009 10.1049/iet-cta.2018.6046 10.1109/TAC.2015.2503323 10.1016/j.jfranklin.2021.04.047 10.1109/TAC.2017.2755372 10.1049/iet-cta.2016.1327 10.1016/j.nahs.2018.06.001 10.1016/j.jfranklin.2021.09.003 10.1109/TAC.2005.860293 10.1002/rnc.3887 10.1080/00207170903104182 10.1137/20M1353460 10.1080/00207179.2015.1064547 10.1007/s12555-015-0372-9 10.1109/ACCESS.2019.2954541 10.1080/002071797224135 10.1016/j.nahs.2019.02.006 |
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| Keywords | Switched systems Asynchronous sequential machines External switching signal Model matching Corrective control |
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| StartPage | 101367 |
| SubjectTerms | Asynchronous sequential machines Corrective control External switching signal Model matching Switched systems |
| Title | Model matching of input/state switched asynchronous sequential machines with the external switching signal |
| URI | https://dx.doi.org/10.1016/j.nahs.2023.101367 |
| Volume | 49 |
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