{"title":"Optimization of higher-order systems and extensions of minimum principle","authors":"Sunil K. Agrawal, T. Veeraklaew","doi":"10.1109/CDC.1999.832904","DOIUrl":null,"url":null,"abstract":"In previous years, using tools of linear and nonlinear systems theory, it has been shown that a large number of dynamic systems can be written in canonical forms. These canonical forms are alternatives to state-space forms and can be represented by higher-order differential equations. For planning and control purposes, these canonical forms provide a number of advantages when compared to their corresponding first-order forms. We address the question of optimization of dynamic systems described by higher-order differential equations. The minimum principle for higher-order systems is derived directly from their higher-order forms. The results are illustrated by an example.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.832904","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In previous years, using tools of linear and nonlinear systems theory, it has been shown that a large number of dynamic systems can be written in canonical forms. These canonical forms are alternatives to state-space forms and can be represented by higher-order differential equations. For planning and control purposes, these canonical forms provide a number of advantages when compared to their corresponding first-order forms. We address the question of optimization of dynamic systems described by higher-order differential equations. The minimum principle for higher-order systems is derived directly from their higher-order forms. The results are illustrated by an example.