{"title":"具有延迟边界测量的反应扩散方程观测器设计","authors":"Jing Zhang, Wenwen Kang","doi":"10.1109/ICCR55715.2022.10053917","DOIUrl":null,"url":null,"abstract":"This paper addresses the problem of observer design for a reaction-diffusion equation with delayed boundary measurement. The predictor method is employed for the delay compensation. The reaction coefficient of the plant is considered, which may lead to the instability. To obtain the stability result, the backstepping transformation is introduced to determine the observer gains. Linear matrix inequalities (LMIs) conditions are derived to guarantee the exponential stability of the error system. The numerical simulation is provided to validate the proposed results.","PeriodicalId":441511,"journal":{"name":"2022 4th International Conference on Control and Robotics (ICCR)","volume":"119 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Observer Design for a Reaction-Diffusion Equation with Delayed Boundary Measurement\",\"authors\":\"Jing Zhang, Wenwen Kang\",\"doi\":\"10.1109/ICCR55715.2022.10053917\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper addresses the problem of observer design for a reaction-diffusion equation with delayed boundary measurement. The predictor method is employed for the delay compensation. The reaction coefficient of the plant is considered, which may lead to the instability. To obtain the stability result, the backstepping transformation is introduced to determine the observer gains. Linear matrix inequalities (LMIs) conditions are derived to guarantee the exponential stability of the error system. The numerical simulation is provided to validate the proposed results.\",\"PeriodicalId\":441511,\"journal\":{\"name\":\"2022 4th International Conference on Control and Robotics (ICCR)\",\"volume\":\"119 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 4th International Conference on Control and Robotics (ICCR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCR55715.2022.10053917\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 4th International Conference on Control and Robotics (ICCR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCR55715.2022.10053917","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Observer Design for a Reaction-Diffusion Equation with Delayed Boundary Measurement
This paper addresses the problem of observer design for a reaction-diffusion equation with delayed boundary measurement. The predictor method is employed for the delay compensation. The reaction coefficient of the plant is considered, which may lead to the instability. To obtain the stability result, the backstepping transformation is introduced to determine the observer gains. Linear matrix inequalities (LMIs) conditions are derived to guarantee the exponential stability of the error system. The numerical simulation is provided to validate the proposed results.
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