Suboptimal control of singularly perturbed multiparameter discrete control system

G. Babu, M. S. Krishnarayalu
{"title":"Suboptimal control of singularly perturbed multiparameter discrete control system","authors":"G. Babu, M. S. Krishnarayalu","doi":"10.1109/PICC.2015.7455794","DOIUrl":null,"url":null,"abstract":"Study of a generalized problem is very important in the sense it provides complete picture of the problem. Accordingly a generalized singularly perturbed multiparemter discrete control system is considered. An open-loop optimal control problem based on Pontriagin's Minimum Principle (PMP) is formulated. The resulting optimal control solution needs special numerical techniques as the system is highly stiff due to multitime scale nature of the system with n small parameters. Hence it is proposed to go for a suboptimal controller that mitigates this problem. Singular Perturbation Method (SPM) that reduces the order and removes the stiffness of the system is an ideal choice for this problem. Here a generalized SPM is presented for this multiparameter problem. The SPM consists of an outer, n initial boundary layer correction (BLC) solutions and n terminal BLC solutions for this problem. An example is provided. The numerical results substantiate the proposed suboptimal controller.","PeriodicalId":373395,"journal":{"name":"2015 International Conference on Power, Instrumentation, Control and Computing (PICC)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference on Power, Instrumentation, Control and Computing (PICC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PICC.2015.7455794","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6

Abstract

Study of a generalized problem is very important in the sense it provides complete picture of the problem. Accordingly a generalized singularly perturbed multiparemter discrete control system is considered. An open-loop optimal control problem based on Pontriagin's Minimum Principle (PMP) is formulated. The resulting optimal control solution needs special numerical techniques as the system is highly stiff due to multitime scale nature of the system with n small parameters. Hence it is proposed to go for a suboptimal controller that mitigates this problem. Singular Perturbation Method (SPM) that reduces the order and removes the stiffness of the system is an ideal choice for this problem. Here a generalized SPM is presented for this multiparameter problem. The SPM consists of an outer, n initial boundary layer correction (BLC) solutions and n terminal BLC solutions for this problem. An example is provided. The numerical results substantiate the proposed suboptimal controller.
奇摄动多参数离散控制系统的次优控制
研究广义问题是非常重要的,因为它提供了问题的全貌。据此,研究了广义奇摄动多参数离散控制系统。提出了一个基于Pontriagin最小原理的开环最优控制问题。由于系统具有n个小参数的多时间尺度特性,系统具有高度的刚性,因此得到的最优控制解需要特殊的数值技术。因此,建议采用次优控制器来缓解这一问题。奇异摄动法(SPM)降低了系统的阶数,消除了系统的刚度,是解决这一问题的理想选择。本文提出了多参数问题的广义SPM方法。SPM由一个外部、n个初始边界层修正(BLC)解和n个终端边界层修正解组成。提供了一个示例。数值结果证实了所提出的次优控制器。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信