{"title":"规定性能保证跟踪控制:开关正向系统视角","authors":"Xiyu Gu;Zongyi Guo;Xinming Wang;David Henry;Jérôme Cieslak","doi":"10.1109/LCSYS.2024.3453088","DOIUrl":null,"url":null,"abstract":"This letter presents a new prescribed performance-guaranteed control (PPC) for a class of linear systems based on positive system theory. Different from standard PPC structure, our attention focuses on the positivity of distance between constrained state and associated performance boundaries. The original constrained system is mapped to a switched positive system involved in distance. This novel framework mitigates the vulnerability/sensitivity of the controller, as it eliminates the necessity for high-gain mechanisms to generate sufficient control input against constraint violations. It develops the performance boundary to a great extent, where various predetermined performance behaviors could be achieved without auxiliary structure. Both theoretical analysis and numerical simulation clarify the effectiveness of the proposed approach.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prescribed Performance-Guaranteed Tracking Control: A Switched Positive System Perspective\",\"authors\":\"Xiyu Gu;Zongyi Guo;Xinming Wang;David Henry;Jérôme Cieslak\",\"doi\":\"10.1109/LCSYS.2024.3453088\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This letter presents a new prescribed performance-guaranteed control (PPC) for a class of linear systems based on positive system theory. Different from standard PPC structure, our attention focuses on the positivity of distance between constrained state and associated performance boundaries. The original constrained system is mapped to a switched positive system involved in distance. This novel framework mitigates the vulnerability/sensitivity of the controller, as it eliminates the necessity for high-gain mechanisms to generate sufficient control input against constraint violations. It develops the performance boundary to a great extent, where various predetermined performance behaviors could be achieved without auxiliary structure. Both theoretical analysis and numerical simulation clarify the effectiveness of the proposed approach.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10663272/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10663272/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Prescribed Performance-Guaranteed Tracking Control: A Switched Positive System Perspective
This letter presents a new prescribed performance-guaranteed control (PPC) for a class of linear systems based on positive system theory. Different from standard PPC structure, our attention focuses on the positivity of distance between constrained state and associated performance boundaries. The original constrained system is mapped to a switched positive system involved in distance. This novel framework mitigates the vulnerability/sensitivity of the controller, as it eliminates the necessity for high-gain mechanisms to generate sufficient control input against constraint violations. It develops the performance boundary to a great extent, where various predetermined performance behaviors could be achieved without auxiliary structure. Both theoretical analysis and numerical simulation clarify the effectiveness of the proposed approach.