{"title":"基于DFT的模型简化及其在控制中的应用","authors":"S. Weng, N. Wu","doi":"10.1109/STIER.1990.324635","DOIUrl":null,"url":null,"abstract":"The issues of model simplification, stabilization and control of time-delay systems are addressed. Locating unstable poles is essential in a classical stabilization problem. Since a transfer function of an infinite dimensional system is not rational, search of its poles in the entire complex plane is not a simple task. The application of DFT (discrete Fourier transform) based approximation can completely avoid such a search. This technique is discussed. It is shown that a finite dimensional controller can be obtained from the finite dimensional approximated transfer function G'(s) immediately. The technique is detailed. Procedures for evaluating unstable poles, designing controllers and computing the coprime factorizations for infinite-dimensional systems are described.<<ETX>>","PeriodicalId":166693,"journal":{"name":"IEEE Technical Conference on Southern Tier","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"DFT based model simplification and its applications in controls\",\"authors\":\"S. Weng, N. Wu\",\"doi\":\"10.1109/STIER.1990.324635\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The issues of model simplification, stabilization and control of time-delay systems are addressed. Locating unstable poles is essential in a classical stabilization problem. Since a transfer function of an infinite dimensional system is not rational, search of its poles in the entire complex plane is not a simple task. The application of DFT (discrete Fourier transform) based approximation can completely avoid such a search. This technique is discussed. It is shown that a finite dimensional controller can be obtained from the finite dimensional approximated transfer function G'(s) immediately. The technique is detailed. Procedures for evaluating unstable poles, designing controllers and computing the coprime factorizations for infinite-dimensional systems are described.<<ETX>>\",\"PeriodicalId\":166693,\"journal\":{\"name\":\"IEEE Technical Conference on Southern Tier\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Technical Conference on Southern Tier\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STIER.1990.324635\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Technical Conference on Southern Tier","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STIER.1990.324635","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
DFT based model simplification and its applications in controls
The issues of model simplification, stabilization and control of time-delay systems are addressed. Locating unstable poles is essential in a classical stabilization problem. Since a transfer function of an infinite dimensional system is not rational, search of its poles in the entire complex plane is not a simple task. The application of DFT (discrete Fourier transform) based approximation can completely avoid such a search. This technique is discussed. It is shown that a finite dimensional controller can be obtained from the finite dimensional approximated transfer function G'(s) immediately. The technique is detailed. Procedures for evaluating unstable poles, designing controllers and computing the coprime factorizations for infinite-dimensional systems are described.<>