{"title":"Interval Observers for Hybrid Continuous-Time Stationary Systems","authors":"A. N. Zhirabok, A. V. Zuev, A. E. Shumsky","doi":"10.1134/s1064230724700163","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of designing interval observers for hybrid continuous stationary systems under external disturbances and measurement noise is studied. It is assumed that the continuous dynamics of such a system is described by a linear or nonlinear differential equation of state with a linear output function. The values of the system’s parameters depend on the region reached by its state and are switched using a control system (CS) with a finite number of states. The relations that allow designing a hybrid interval observer of the minimal dimension that is guaranteed to estimate the set of admissible values of the prescribed linear vector function of the system’s states are derived. To solve the problem, pair algebra of partitions and linear algebra are used. The theoretical results are illustrated by an example.</p>","PeriodicalId":50223,"journal":{"name":"Journal of Computer and Systems Sciences International","volume":"7 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-08-18","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/s1064230724700163","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}
引用次数: 0
Abstract
The problem of designing interval observers for hybrid continuous stationary systems under external disturbances and measurement noise is studied. It is assumed that the continuous dynamics of such a system is described by a linear or nonlinear differential equation of state with a linear output function. The values of the system’s parameters depend on the region reached by its state and are switched using a control system (CS) with a finite number of states. The relations that allow designing a hybrid interval observer of the minimal dimension that is guaranteed to estimate the set of admissible values of the prescribed linear vector function of the system’s states are derived. To solve the problem, pair algebra of partitions and linear algebra are used. 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.
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