通过内部平衡表示的低频近似来简化模型

Proceedings of the 28th IEEE Conference on Decision and Control, Pub Date : 1989-12-13 DOI:10.1109/CDC.1989.70612

R. Prakash, S. Rao

{"title":"通过内部平衡表示的低频近似来简化模型","authors":"R. Prakash, S. Rao","doi":"10.1109/CDC.1989.70612","DOIUrl":null,"url":null,"abstract":"A modified balancing model-reduction method is proposed for frequency domain robust control system design. The reduced-order model is obtained by approximating the states of the weak subsystem of the balanced representation around zero frequency. Several properties and error bounds of the reduced model are derived. A critical comparison is made with B.C. Moore's (1981) reduced-order model obtained by direct truncation. A numerical example is included.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"Model reduction by low frequency approximation of internally balanced representation\",\"authors\":\"R. Prakash, S. Rao\",\"doi\":\"10.1109/CDC.1989.70612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A modified balancing model-reduction method is proposed for frequency domain robust control system design. The reduced-order model is obtained by approximating the states of the weak subsystem of the balanced representation around zero frequency. Several properties and error bounds of the reduced model are derived. A critical comparison is made with B.C. Moore's (1981) reduced-order model obtained by direct truncation. A numerical example is included.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70612\",\"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 the 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 23

摘要

针对频域鲁棒控制系统的设计，提出了一种改进的平衡模型约简方法。通过在零频率附近近似平衡表示的弱子系统的状态得到降阶模型。推导了简化模型的若干性质和误差范围。与bc . Moore(1981)直接截断法得到的降阶模型进行了比较。最后给出了一个数值例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Model reduction by low frequency approximation of internally balanced representation

A modified balancing model-reduction method is proposed for frequency domain robust control system design. The reduced-order model is obtained by approximating the states of the weak subsystem of the balanced representation around zero frequency. Several properties and error bounds of the reduced model are derived. A critical comparison is made with B.C. Moore's (1981) reduced-order model obtained by direct truncation. A numerical example is included.<>

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

Proceedings of the 28th IEEE Conference on Decision and Control,

自引率

0.00%

发文量