{"title":"量化输入线性抛物型偏微分方程的观测器反馈控制","authors":"Xuena Zhao, Jun-yuan Gu, Zhijie Liu, Wei He","doi":"10.1109/ICCSS53909.2021.9721970","DOIUrl":null,"url":null,"abstract":"This study focuses on the input quantization control for the linear parabolic PDEs with local piecewise controllers and pointwise measurements. To estimate the unmeasured state for controller design, we construct a PDE observer based on feedback signals. And then a quantization feedback compensator is proposed to exponentially stabilize the linear parabolic PDE systems. The closed-loop system stability is proven by Lyapunov direct method. Further, simulation results are presented to demonstrate the correctness of the theoretical proof.","PeriodicalId":435816,"journal":{"name":"2021 8th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Observer-based feedback control for linear parabolic PDEs with quantized input\",\"authors\":\"Xuena Zhao, Jun-yuan Gu, Zhijie Liu, Wei He\",\"doi\":\"10.1109/ICCSS53909.2021.9721970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study focuses on the input quantization control for the linear parabolic PDEs with local piecewise controllers and pointwise measurements. To estimate the unmeasured state for controller design, we construct a PDE observer based on feedback signals. And then a quantization feedback compensator is proposed to exponentially stabilize the linear parabolic PDE systems. The closed-loop system stability is proven by Lyapunov direct method. Further, simulation results are presented to demonstrate the correctness of the theoretical proof.\",\"PeriodicalId\":435816,\"journal\":{\"name\":\"2021 8th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 8th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSS53909.2021.9721970\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 8th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSS53909.2021.9721970","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Observer-based feedback control for linear parabolic PDEs with quantized input
This study focuses on the input quantization control for the linear parabolic PDEs with local piecewise controllers and pointwise measurements. To estimate the unmeasured state for controller design, we construct a PDE observer based on feedback signals. And then a quantization feedback compensator is proposed to exponentially stabilize the linear parabolic PDE systems. The closed-loop system stability is proven by Lyapunov direct method. Further, simulation results are presented to demonstrate the correctness of the theoretical proof.
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