{"title":"一类时变采样控制系统H∞控制的充分条件","authors":"Qinghua Zhao, Hong-li Zhang, Yuanwei Jing, Si-ying Zhang","doi":"10.1109/CCDC.2009.5195019","DOIUrl":null,"url":null,"abstract":"In this paper, the mathematical model for a class of time-varying sampling control system with stochastic sampling period is established. The sufficient conditions on the existence of the stabilizing controllers with H∞ norm bound are established, and the controller design ensuring the stochastic stability of systems with H∞ norm bound is also proposed by solving the linear matrix inequalities. The simulation results illustrate the effectiveness of the proposed controller design.","PeriodicalId":127110,"journal":{"name":"2009 Chinese Control and Decision Conference","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2009-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A sufficient condition for H∞ control on a class of time-varying sampling control systems\",\"authors\":\"Qinghua Zhao, Hong-li Zhang, Yuanwei Jing, Si-ying Zhang\",\"doi\":\"10.1109/CCDC.2009.5195019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the mathematical model for a class of time-varying sampling control system with stochastic sampling period is established. The sufficient conditions on the existence of the stabilizing controllers with H∞ norm bound are established, and the controller design ensuring the stochastic stability of systems with H∞ norm bound is also proposed by solving the linear matrix inequalities. The simulation results illustrate the effectiveness of the proposed controller design.\",\"PeriodicalId\":127110,\"journal\":{\"name\":\"2009 Chinese Control and Decision Conference\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 Chinese Control and Decision Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCDC.2009.5195019\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Chinese Control and Decision Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCDC.2009.5195019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A sufficient condition for H∞ control on a class of time-varying sampling control systems
In this paper, the mathematical model for a class of time-varying sampling control system with stochastic sampling period is established. The sufficient conditions on the existence of the stabilizing controllers with H∞ norm bound are established, and the controller design ensuring the stochastic stability of systems with H∞ norm bound is also proposed by solving the linear matrix inequalities. The simulation results illustrate the effectiveness of the proposed controller design.
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