用进化算法求解成本变化控制的最优控制问题

J. Bobbin, X. Yao
{"title":"用进化算法求解成本变化控制的最优控制问题","authors":"J. Bobbin, X. Yao","doi":"10.1109/ICEC.1997.592331","DOIUrl":null,"url":null,"abstract":"Many mathematical solutions to certain classes of optimal control problems, particularly problems which give rise to 'chattering controls', make some physically unrealistic assumptions in order to solve the problems. These solutions often ignore the cost of changing control and thus fail to give physically realistic results due to the physical reality of this cost in many applications. When this cost is incorporated into the problem, the problem can become very difficult to solve numerically. The paper considers an evolutionary approach to solving optimal control problems which take the cost of changing control into account. A novel chromosome representation and an insert mutation have been proposed and tested against three different problems. The experimental results show that the evolutionary approach is quite competitive in comparison with the existing method based on dynamic programming.","PeriodicalId":167852,"journal":{"name":"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Solving optimal control problems with a cost changing control by evolutionary algorithms\",\"authors\":\"J. Bobbin, X. Yao\",\"doi\":\"10.1109/ICEC.1997.592331\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Many mathematical solutions to certain classes of optimal control problems, particularly problems which give rise to 'chattering controls', make some physically unrealistic assumptions in order to solve the problems. These solutions often ignore the cost of changing control and thus fail to give physically realistic results due to the physical reality of this cost in many applications. When this cost is incorporated into the problem, the problem can become very difficult to solve numerically. The paper considers an evolutionary approach to solving optimal control problems which take the cost of changing control into account. A novel chromosome representation and an insert mutation have been proposed and tested against three different problems. The experimental results show that the evolutionary approach is quite competitive in comparison with the existing method based on dynamic programming.\",\"PeriodicalId\":167852,\"journal\":{\"name\":\"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEC.1997.592331\",\"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 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEC.1997.592331","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13

摘要

某些类型的最优控制问题的许多数学解,特别是产生“抖动控制”的问题,为了解决这些问题,做出了一些物理上不现实的假设。这些解决方案往往忽略了改变控制的成本,因此由于在许多应用中这种成本的实际存在,无法给出实际的结果。当这个成本被纳入到问题中时,这个问题就很难用数字来解决了。本文考虑了考虑变更控制代价的最优控制问题的进化求解方法。提出了一种新的染色体表示和插入突变,并针对三个不同的问题进行了测试。实验结果表明,与现有的基于动态规划的方法相比,进化方法具有很强的竞争力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solving optimal control problems with a cost changing control by evolutionary algorithms
Many mathematical solutions to certain classes of optimal control problems, particularly problems which give rise to 'chattering controls', make some physically unrealistic assumptions in order to solve the problems. These solutions often ignore the cost of changing control and thus fail to give physically realistic results due to the physical reality of this cost in many applications. When this cost is incorporated into the problem, the problem can become very difficult to solve numerically. The paper considers an evolutionary approach to solving optimal control problems which take the cost of changing control into account. A novel chromosome representation and an insert mutation have been proposed and tested against three different problems. The experimental results show that the evolutionary approach is quite competitive in comparison with the existing method based on dynamic programming.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
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:604180095
Book学术官方微信