{"title":"离散时间系统的时间限制格拉姆模型约简","authors":"M. Imran, A. Ghafoor, Umair Zulfiqar, V. Sreeram","doi":"10.1109/ANZCC.2018.8606584","DOIUrl":null,"url":null,"abstract":"Time limited Gramians based balanced model reduction techniques for discrete time systems are proposed. These techniques address the stability problem of the reduced order models and also yield comparable step response error and error bounds. Different numerical examples are presented to show the effectiveness of proposed techniques in the desired time intervals.","PeriodicalId":358801,"journal":{"name":"2018 Australian & New Zealand Control Conference (ANZCC)","volume":"360 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Model Reduction of Discrete Time Systems using Time Limited Gramians\",\"authors\":\"M. Imran, A. Ghafoor, Umair Zulfiqar, V. Sreeram\",\"doi\":\"10.1109/ANZCC.2018.8606584\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Time limited Gramians based balanced model reduction techniques for discrete time systems are proposed. These techniques address the stability problem of the reduced order models and also yield comparable step response error and error bounds. Different numerical examples are presented to show the effectiveness of proposed techniques in the desired time intervals.\",\"PeriodicalId\":358801,\"journal\":{\"name\":\"2018 Australian & New Zealand Control Conference (ANZCC)\",\"volume\":\"360 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 Australian & New Zealand Control Conference (ANZCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANZCC.2018.8606584\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 Australian & New Zealand Control Conference (ANZCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANZCC.2018.8606584","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Model Reduction of Discrete Time Systems using Time Limited Gramians
Time limited Gramians based balanced model reduction techniques for discrete time systems are proposed. These techniques address the stability problem of the reduced order models and also yield comparable step response error and error bounds. Different numerical examples are presented to show the effectiveness of proposed techniques in the desired time intervals.