{"title":"一类仿射参数相关系统的输出反馈跟踪控制","authors":"F. Liao, Jianliang Wang, Guanghong Yang","doi":"10.1109/CDC.2001.980983","DOIUrl":null,"url":null,"abstract":"Motivated by aircraft control system design, the paper presents tests for the stability and performance of a set of affine parameter-dependent linear systems. Based on these tests, the tracking controller design method via output feedback is provided. These tests and design method are based on the notion of affine quadratic stability/performance where the fixed Lyapunov function is replaced by an affine parameter-dependent Lyapunov function. Sufficient conditions to test and realize the stability/performance of this class of systems are given in terms of solvability of linear matrix inequalities (LMIs). These tests and design methods are less conservative than existing methods.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Output-feedback tracking control of a set of affine parameter-dependent systems\",\"authors\":\"F. Liao, Jianliang Wang, Guanghong Yang\",\"doi\":\"10.1109/CDC.2001.980983\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by aircraft control system design, the paper presents tests for the stability and performance of a set of affine parameter-dependent linear systems. Based on these tests, the tracking controller design method via output feedback is provided. These tests and design method are based on the notion of affine quadratic stability/performance where the fixed Lyapunov function is replaced by an affine parameter-dependent Lyapunov function. Sufficient conditions to test and realize the stability/performance of this class of systems are given in terms of solvability of linear matrix inequalities (LMIs). These tests and design methods are less conservative than existing methods.\",\"PeriodicalId\":131411,\"journal\":{\"name\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2001.980983\",\"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 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.980983","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Output-feedback tracking control of a set of affine parameter-dependent systems
Motivated by aircraft control system design, the paper presents tests for the stability and performance of a set of affine parameter-dependent linear systems. Based on these tests, the tracking controller design method via output feedback is provided. These tests and design method are based on the notion of affine quadratic stability/performance where the fixed Lyapunov function is replaced by an affine parameter-dependent Lyapunov function. Sufficient conditions to test and realize the stability/performance of this class of systems are given in terms of solvability of linear matrix inequalities (LMIs). These tests and design methods are less conservative than existing methods.