{"title":"李雅普诺夫矩阵用于具有状态和输入延迟和动态预测器控制的系统稳定性分析","authors":"Luis Juárez, S. Mondié","doi":"10.1109/ICEEE.2018.8533986","DOIUrl":null,"url":null,"abstract":"In this work, we describe a method to compute the Lyapunov matrix of a system with state and input delay when the input is a dynamic predictor-based control law. We observe that this system can be represented in an extended state-space form. The resulting model is a system with multiple distributed time-delays with repeated piecewise kernels. We present a scalar case study involving the Lyapunov matrix construction. The obtained Lyapunov matrix allows us to carry out the stability analysis in the time domain. Finally, some remarks about the dynamic and the simple predictor-based control laws are given.","PeriodicalId":6924,"journal":{"name":"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"49 1","pages":"1-6"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Lyapunov matrices for the stability analysis of a system with state and input delays and dynamic predictor control\",\"authors\":\"Luis Juárez, S. Mondié\",\"doi\":\"10.1109/ICEEE.2018.8533986\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we describe a method to compute the Lyapunov matrix of a system with state and input delay when the input is a dynamic predictor-based control law. We observe that this system can be represented in an extended state-space form. The resulting model is a system with multiple distributed time-delays with repeated piecewise kernels. We present a scalar case study involving the Lyapunov matrix construction. The obtained Lyapunov matrix allows us to carry out the stability analysis in the time domain. Finally, some remarks about the dynamic and the simple predictor-based control laws are given.\",\"PeriodicalId\":6924,\"journal\":{\"name\":\"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"volume\":\"49 1\",\"pages\":\"1-6\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEEE.2018.8533986\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 15th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2018.8533986","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov matrices for the stability analysis of a system with state and input delays and dynamic predictor control
In this work, we describe a method to compute the Lyapunov matrix of a system with state and input delay when the input is a dynamic predictor-based control law. We observe that this system can be represented in an extended state-space form. The resulting model is a system with multiple distributed time-delays with repeated piecewise kernels. We present a scalar case study involving the Lyapunov matrix construction. The obtained Lyapunov matrix allows us to carry out the stability analysis in the time domain. Finally, some remarks about the dynamic and the simple predictor-based control laws are given.
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