{"title":"On a Polyhedral Method for Solving an Evasion Problem for Linear Discrete-Time Systems","authors":"E. K. Kostousova","doi":"10.1109/STAB49150.2020.9140471","DOIUrl":null,"url":null,"abstract":"A conflict control problem for a linear discrete time system with two controls / disturbances is considered, where the aim of the first one is to steer the trajectory of the system into a given terminal set, whereas the aim of the second one is opposite. Two subproblems arise here, namely the approach problem and the evasion one. In the paper, a quick method for construction of feed-back controls for solving the evasion problem is proposed based on the calculation of parallelotope-valued tubes. An illustrative example is presented.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140471","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A conflict control problem for a linear discrete time system with two controls / disturbances is considered, where the aim of the first one is to steer the trajectory of the system into a given terminal set, whereas the aim of the second one is opposite. Two subproblems arise here, namely the approach problem and the evasion one. In the paper, a quick method for construction of feed-back controls for solving the evasion problem is proposed based on the calculation of parallelotope-valued tubes. An illustrative example is presented.
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