{"title":"多面体问题的一些应用","authors":"L. Pujara","doi":"10.1109/CDC.2001.914557","DOIUrl":null,"url":null,"abstract":"In this paper, a solution for the existence of a fixed order stabilizing controller for any SISO plant (continuous domain or discrete domain) is proposed. Also, the question of the existence of a constant output feedback to stabilize a SIMO or a MISO plant is addressed. These applications are based on the algorithm for determining the existence of a stable polynomial in a polytope, which has recently been proposed by the author. Three numerical examples are included to illustrate various applications.","PeriodicalId":217237,"journal":{"name":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","volume":"114 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some applications of the polytope problem\",\"authors\":\"L. Pujara\",\"doi\":\"10.1109/CDC.2001.914557\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a solution for the existence of a fixed order stabilizing controller for any SISO plant (continuous domain or discrete domain) is proposed. Also, the question of the existence of a constant output feedback to stabilize a SIMO or a MISO plant is addressed. These applications are based on the algorithm for determining the existence of a stable polynomial in a polytope, which has recently been proposed by the author. Three numerical examples are included to illustrate various applications.\",\"PeriodicalId\":217237,\"journal\":{\"name\":\"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)\",\"volume\":\"114 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2001.914557\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.914557","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, a solution for the existence of a fixed order stabilizing controller for any SISO plant (continuous domain or discrete domain) is proposed. Also, the question of the existence of a constant output feedback to stabilize a SIMO or a MISO plant is addressed. These applications are based on the algorithm for determining the existence of a stable polynomial in a polytope, which has recently been proposed by the author. Three numerical examples are included to illustrate various applications.