{"title":"LPV系统参数依赖状态反馈的二次稳定性方法学","authors":"Eduardo Martínez-Zambrano, René Galindo-Orozco","doi":"10.1109/ICEEE.2012.6421138","DOIUrl":null,"url":null,"abstract":"This paper presents an alternative methodology to solve the quadratic stabilization problem via parameter dependent state feedback. Sufficient conditions for Quadratic Stability by parameter dependent state feedback are given, the LPV control law is gotten by a parameter dependent interpolation of LTI controllers (one for each vertex) solving the regulation problem. This technique is proved using an upper bound of the parameter dependent Lyapunov function of the system. The results are illustrated by a simulation example of a two-cart system.","PeriodicalId":162368,"journal":{"name":"2012 9th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"370 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Quadratic Stability methodology by parameter dependent state feedback for LPV systems\",\"authors\":\"Eduardo Martínez-Zambrano, René Galindo-Orozco\",\"doi\":\"10.1109/ICEEE.2012.6421138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an alternative methodology to solve the quadratic stabilization problem via parameter dependent state feedback. Sufficient conditions for Quadratic Stability by parameter dependent state feedback are given, the LPV control law is gotten by a parameter dependent interpolation of LTI controllers (one for each vertex) solving the regulation problem. This technique is proved using an upper bound of the parameter dependent Lyapunov function of the system. The results are illustrated by a simulation example of a two-cart system.\",\"PeriodicalId\":162368,\"journal\":{\"name\":\"2012 9th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"volume\":\"370 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 9th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEEE.2012.6421138\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 9th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2012.6421138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quadratic Stability methodology by parameter dependent state feedback for LPV systems
This paper presents an alternative methodology to solve the quadratic stabilization problem via parameter dependent state feedback. Sufficient conditions for Quadratic Stability by parameter dependent state feedback are given, the LPV control law is gotten by a parameter dependent interpolation of LTI controllers (one for each vertex) solving the regulation problem. This technique is proved using an upper bound of the parameter dependent Lyapunov function of the system. The results are illustrated by a simulation example of a two-cart system.
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