E. Y. Ibrahim, V. Lovass-Nagy, R. Mukundan, D. L. Powers, R. Schilling
{"title":"On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems","authors":"E. Y. Ibrahim, V. Lovass-Nagy, R. Mukundan, D. L. Powers, R. Schilling","doi":"10.23919/ACC.1989.4790544","DOIUrl":null,"url":null,"abstract":"Linear time-invariant time-delay control systems are approximated by time-invariant descriptor-variable systems. The approximating descriptor-variable systems do not contain any time-delay but they are controlled by a linear combination of the input vector and some of its derivatives. Necessary conditions are derived for existence of optimal controls; a \"minimum energy\" optimal control problem is investigated in some detail.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1989 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1989.4790544","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Linear time-invariant time-delay control systems are approximated by time-invariant descriptor-variable systems. The approximating descriptor-variable systems do not contain any time-delay but they are controlled by a linear combination of the input vector and some of its derivatives. Necessary conditions are derived for existence of optimal controls; a "minimum energy" optimal control problem is investigated in some detail.