{"title":"具有参数不确定性的离散时间线性系统中的区间估计","authors":"A. N. Zhirabok, A. V. Zuev, C. Kim","doi":"10.1134/s1064230723060138","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of constructing interval observers for discrete-time linear systems under external disturbances, measurement noise, and parametric uncertainties is studied. The relations allowing designing the interval observer of the minimal dimension that estimates the set of admissible values of the specified linear vector function of the system state are derived. The theoretical results are illustrated by an example.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":"99 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Interval Estimation in Discrete-Time Linear Systems with Parametric Uncertainties\",\"authors\":\"A. N. Zhirabok, A. V. Zuev, C. Kim\",\"doi\":\"10.1134/s1064230723060138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>The problem of constructing interval observers for discrete-time linear systems under external disturbances, measurement noise, and parametric uncertainties is studied. The relations allowing designing the interval observer of the minimal dimension that estimates the set of admissible values of the specified linear vector function of the system state are derived. The theoretical results are illustrated by an example.</p>\",\"PeriodicalId\":50223,\"journal\":{\"name\":\"Journal of Computer and Systems Sciences International\",\"volume\":\"99 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-01-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computer and Systems Sciences International\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1134/s1064230723060138\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computer and Systems Sciences International","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1134/s1064230723060138","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Interval Estimation in Discrete-Time Linear Systems with Parametric Uncertainties
Abstract
The problem of constructing interval observers for discrete-time linear systems under external disturbances, measurement noise, and parametric uncertainties is studied. The relations allowing designing the interval observer of the minimal dimension that estimates the set of admissible values of the specified linear vector function of the system state are derived. The theoretical results are illustrated by an example.
期刊介绍:
Journal of Computer and System Sciences International is a journal published in collaboration with the Russian Academy of Sciences. It covers all areas of control theory and systems. The journal features papers on the theory and methods of control, as well as papers devoted to the study, design, modeling, development, and application of new control systems. The journal publishes papers that reflect contemporary research and development in the field of control. Particular attention is given to applications of computer methods and technologies to control theory and control engineering. The journal publishes proceedings of international scientific conferences in the form of collections of regular journal articles and reviews by top experts on topical problems of modern studies in control theory.