{"title":"带复位带的复位控制系统:适定性和极限环分析","authors":"A. Barreiro, A. Baños, S. Dormido","doi":"10.1109/MED.2011.5983109","DOIUrl":null,"url":null,"abstract":"Reset controllers provide a simple way to improve performance when controlling strongly traded-off plants. A reset controller operates most of the time as a linear system, but when some condition holds, it performs a zero resetting action on its state. Recently, some generalizations have been proposed: anticipation of the condition with the so-called reset band, relaxation of the action applying partial reset, etc. There is a lack of analysis tools for reset systems with reset band. In this paper we address the problem of existence, detection and stability of limit cycles by means of Poincaré maps. The results give also information on pathologies such as Zenoness. The presented approach is complementary to describing function analysis, in order to reveal the ability of reset controllers for overcoming fundamental limitations in the frequency domain.","PeriodicalId":146203,"journal":{"name":"2011 19th Mediterranean Conference on Control & Automation (MED)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Reset Control Systems with Reset Band: Well-posedness and Limit Cycles Analysis\",\"authors\":\"A. Barreiro, A. Baños, S. Dormido\",\"doi\":\"10.1109/MED.2011.5983109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Reset controllers provide a simple way to improve performance when controlling strongly traded-off plants. A reset controller operates most of the time as a linear system, but when some condition holds, it performs a zero resetting action on its state. Recently, some generalizations have been proposed: anticipation of the condition with the so-called reset band, relaxation of the action applying partial reset, etc. There is a lack of analysis tools for reset systems with reset band. In this paper we address the problem of existence, detection and stability of limit cycles by means of Poincaré maps. The results give also information on pathologies such as Zenoness. The presented approach is complementary to describing function analysis, in order to reveal the ability of reset controllers for overcoming fundamental limitations in the frequency domain.\",\"PeriodicalId\":146203,\"journal\":{\"name\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2011.5983109\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 19th Mediterranean Conference on Control & Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2011.5983109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Reset Control Systems with Reset Band: Well-posedness and Limit Cycles Analysis
Reset controllers provide a simple way to improve performance when controlling strongly traded-off plants. A reset controller operates most of the time as a linear system, but when some condition holds, it performs a zero resetting action on its state. Recently, some generalizations have been proposed: anticipation of the condition with the so-called reset band, relaxation of the action applying partial reset, etc. There is a lack of analysis tools for reset systems with reset band. In this paper we address the problem of existence, detection and stability of limit cycles by means of Poincaré maps. The results give also information on pathologies such as Zenoness. The presented approach is complementary to describing function analysis, in order to reveal the ability of reset controllers for overcoming fundamental limitations in the frequency domain.