{"title":"区间系统级数展开的基于粗糙逼近的模型约简","authors":"Vinay Pratap Singh, D. Chandra","doi":"10.1109/ICPCES.2010.5698658","DOIUrl":null,"url":null,"abstract":"This paper presents a method for the reduction of the order of interval system using Routh approximants. A new method is proposed to calculate time moments that is computationally simpler and easier, does not require to calculate time moments by expansion of denominator of system, γ-δ parameters or γ parameters. The generated low-order models always possess stability and initial time moments of the high-order system. Typical numerical examples illustrating the proposed method are provided.","PeriodicalId":439893,"journal":{"name":"2010 International Conference on Power, Control and Embedded Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":"{\"title\":\"Routh-approximation based model reduction using series expansion of interval systems\",\"authors\":\"Vinay Pratap Singh, D. Chandra\",\"doi\":\"10.1109/ICPCES.2010.5698658\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a method for the reduction of the order of interval system using Routh approximants. A new method is proposed to calculate time moments that is computationally simpler and easier, does not require to calculate time moments by expansion of denominator of system, γ-δ parameters or γ parameters. The generated low-order models always possess stability and initial time moments of the high-order system. Typical numerical examples illustrating the proposed method are provided.\",\"PeriodicalId\":439893,\"journal\":{\"name\":\"2010 International Conference on Power, Control and Embedded Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"28\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Power, Control and Embedded Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPCES.2010.5698658\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Power, Control and Embedded Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPCES.2010.5698658","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Routh-approximation based model reduction using series expansion of interval systems
This paper presents a method for the reduction of the order of interval system using Routh approximants. A new method is proposed to calculate time moments that is computationally simpler and easier, does not require to calculate time moments by expansion of denominator of system, γ-δ parameters or γ parameters. The generated low-order models always possess stability and initial time moments of the high-order system. Typical numerical examples illustrating the proposed method are provided.