{"title":"An energy approach to controllability","authors":"M. Wicks, R. Decarlo","doi":"10.1109/CDC.1988.194698","DOIUrl":null,"url":null,"abstract":"The authors formulate an energy approach to the control of linear systems. Recent ideas developed for balancing coordinate transformations motivate this approach. Specifically, the geometry of the controllability Gramian and its relationship to the system eigenstructure underlie the controllability of a system from an input energy perspective. After detailing these ideas, the authors describe an algorithm for constructing state feedback to achieve a desired Gramian geometry in a minimum-norm sense. This provides a means of eigenstructure improvement without direct eigenstructure assignment.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194698","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
Abstract
The authors formulate an energy approach to the control of linear systems. Recent ideas developed for balancing coordinate transformations motivate this approach. Specifically, the geometry of the controllability Gramian and its relationship to the system eigenstructure underlie the controllability of a system from an input energy perspective. After detailing these ideas, the authors describe an algorithm for constructing state feedback to achieve a desired Gramian geometry in a minimum-norm sense. This provides a means of eigenstructure improvement without direct eigenstructure assignment.<>
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
