{"title":"不确定马尔可夫跳跃系统的有限时间有界性:一种滑模方法","authors":"Z. Cao, Y. Niu, Haijuan Zhao, Jun Song","doi":"10.1109/ANZCC.2017.8298436","DOIUrl":null,"url":null,"abstract":"This paper investigates the finite-time bounded-ness (FTB) for a class of uncertain Markovian jump systems (MJSs) via sliding mode control (SMC) technique. Firstly, a suitable sliding mode controller is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interval. Then, by utilizing a partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are respectively analyzed during the specified finite time interval. Finally, a simulation example is given to verify the proposed control method.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-time boundedness of uncertain Markovian jump systems: A sliding mode approach\",\"authors\":\"Z. Cao, Y. Niu, Haijuan Zhao, Jun Song\",\"doi\":\"10.1109/ANZCC.2017.8298436\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates the finite-time bounded-ness (FTB) for a class of uncertain Markovian jump systems (MJSs) via sliding mode control (SMC) technique. Firstly, a suitable sliding mode controller is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interval. Then, by utilizing a partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are respectively analyzed during the specified finite time interval. Finally, a simulation example is given to verify the proposed control method.\",\"PeriodicalId\":429208,\"journal\":{\"name\":\"2017 Australian and New Zealand Control Conference (ANZCC)\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 Australian and New Zealand Control Conference (ANZCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANZCC.2017.8298436\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 Australian and New Zealand Control Conference (ANZCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANZCC.2017.8298436","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time boundedness of uncertain Markovian jump systems: A sliding mode approach
This paper investigates the finite-time bounded-ness (FTB) for a class of uncertain Markovian jump systems (MJSs) via sliding mode control (SMC) technique. Firstly, a suitable sliding mode controller is constructed to drive the state trajectories onto the specified sliding surface during a specified finite (possibly short) time interval. Then, by utilizing a partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are respectively analyzed during the specified finite time interval. Finally, a simulation example is given to verify the proposed control method.
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