{"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":"519 1","pages":"0"},"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}
引用次数: 0
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.