{"title":"离散区间系统的马尔可夫参数和时间矩逼近","authors":"V. Meena, L. Barik, Vinay Singh","doi":"10.1109/ICPC2T53885.2022.9776848","DOIUrl":null,"url":null,"abstract":"This paper proposes the model order reduction (MOR) method for discrete interval systems (DISs). Two expressions are derived to calculate time moments (TMs) and Markov parameters (MPs) of DISs. The expressions of TMs and MPs are expressed in generalized form. MOR of DIS is obtained with the help of TMs, MPs, and pole retention techniques. The denominator of the model is obtained by the dominant pole retention technique. The numerator is calculated by matching the TMs and MPs of the higher-order system and lower-order model. One test case is included to illustrate the procedure.","PeriodicalId":283298,"journal":{"name":"2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Markov-Parameters and Time-Moments Based Approximation of Discrete Interval Systems\",\"authors\":\"V. Meena, L. Barik, Vinay Singh\",\"doi\":\"10.1109/ICPC2T53885.2022.9776848\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposes the model order reduction (MOR) method for discrete interval systems (DISs). Two expressions are derived to calculate time moments (TMs) and Markov parameters (MPs) of DISs. The expressions of TMs and MPs are expressed in generalized form. MOR of DIS is obtained with the help of TMs, MPs, and pole retention techniques. The denominator of the model is obtained by the dominant pole retention technique. The numerator is calculated by matching the TMs and MPs of the higher-order system and lower-order model. One test case is included to illustrate the procedure.\",\"PeriodicalId\":283298,\"journal\":{\"name\":\"2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T)\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPC2T53885.2022.9776848\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 Second International Conference on Power, Control and Computing Technologies (ICPC2T)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPC2T53885.2022.9776848","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Markov-Parameters and Time-Moments Based Approximation of Discrete Interval Systems
This paper proposes the model order reduction (MOR) method for discrete interval systems (DISs). Two expressions are derived to calculate time moments (TMs) and Markov parameters (MPs) of DISs. The expressions of TMs and MPs are expressed in generalized form. MOR of DIS is obtained with the help of TMs, MPs, and pole retention techniques. The denominator of the model is obtained by the dominant pole retention technique. The numerator is calculated by matching the TMs and MPs of the higher-order system and lower-order model. One test case is included to illustrate the procedure.
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