{"title":"关于建立有限控制线性离散系统极限控制集的外部评估方法","authors":"Бесклубова Ксения Валериевна","doi":"10.31857/s0005231023020010","DOIUrl":null,"url":null,"abstract":"The paper considers the attraction area of stable state of multivariable dynamic plant with limited control formed with the aid of multivariable control unit. The attraction area is formed with application of square Lyapunov's function method and invariant ellipsoids. Analytical expressions, defining area of plant’s initial conditions providing the guaranteed system’s linearity, are received. Simulation of the system with limited control is carried out at the various initial conditions which results prove the specified expressions.","PeriodicalId":186272,"journal":{"name":"Автоматика и телемеханика","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"О МЕТОДЕ ПОСТРОЕНИЯ ВНЕШНИХ ОЦЕНОК ПРЕДЕЛЬНОГО МНОЖЕСТВА УПРАВЛЯЕМОСТИ ДЛЯ ЛИНЕЙНОЙ ДИСКРЕТНОЙ СИСТЕМЫ С ОГРАНИЧЕННЫМ УПРАВЛЕНИЕМ\",\"authors\":\"Бесклубова Ксения Валериевна\",\"doi\":\"10.31857/s0005231023020010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers the attraction area of stable state of multivariable dynamic plant with limited control formed with the aid of multivariable control unit. The attraction area is formed with application of square Lyapunov's function method and invariant ellipsoids. Analytical expressions, defining area of plant’s initial conditions providing the guaranteed system’s linearity, are received. Simulation of the system with limited control is carried out at the various initial conditions which results prove the specified expressions.\",\"PeriodicalId\":186272,\"journal\":{\"name\":\"Автоматика и телемеханика\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Автоматика и телемеханика\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31857/s0005231023020010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Автоматика и телемеханика","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31857/s0005231023020010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
О МЕТОДЕ ПОСТРОЕНИЯ ВНЕШНИХ ОЦЕНОК ПРЕДЕЛЬНОГО МНОЖЕСТВА УПРАВЛЯЕМОСТИ ДЛЯ ЛИНЕЙНОЙ ДИСКРЕТНОЙ СИСТЕМЫ С ОГРАНИЧЕННЫМ УПРАВЛЕНИЕМ
The paper considers the attraction area of stable state of multivariable dynamic plant with limited control formed with the aid of multivariable control unit. The attraction area is formed with application of square Lyapunov's function method and invariant ellipsoids. Analytical expressions, defining area of plant’s initial conditions providing the guaranteed system’s linearity, are received. Simulation of the system with limited control is carried out at the various initial conditions which results prove the specified expressions.
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