{"title":"用Lambert-W函数对时滞奇摄动系统进行复合控制","authors":"N. Abdelkrim, A. Tellili, M. Abdelkrim","doi":"10.1109/SSD.2010.5585577","DOIUrl":null,"url":null,"abstract":"The composite state feedback control designed for singularly perturbed system SPS with small time-delay by using Lambert-W function is proposed in this paper. Based on the delayed slow subsystem (SS) and fast subsystems (FS) decomposition, we design a composite sate-feedback control. So the gain of delayed SS will be designed by using Lambert-W function and the gain of FS will be designed on the basis of classical pole placement method, and the two gains will be regrouped in global gain to design the delayed SPS. A numerical example is presented to illustrate the effectiveness of the proposed design approach.","PeriodicalId":432382,"journal":{"name":"2010 7th International Multi- Conference on Systems, Signals and Devices","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Composite control of a delayed singularly perturbed system by using Lambert-W function\",\"authors\":\"N. Abdelkrim, A. Tellili, M. Abdelkrim\",\"doi\":\"10.1109/SSD.2010.5585577\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The composite state feedback control designed for singularly perturbed system SPS with small time-delay by using Lambert-W function is proposed in this paper. Based on the delayed slow subsystem (SS) and fast subsystems (FS) decomposition, we design a composite sate-feedback control. So the gain of delayed SS will be designed by using Lambert-W function and the gain of FS will be designed on the basis of classical pole placement method, and the two gains will be regrouped in global gain to design the delayed SPS. A numerical example is presented to illustrate the effectiveness of the proposed design approach.\",\"PeriodicalId\":432382,\"journal\":{\"name\":\"2010 7th International Multi- Conference on Systems, Signals and Devices\",\"volume\":\"53 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 7th International Multi- Conference on Systems, Signals and Devices\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSD.2010.5585577\",\"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 7th International Multi- Conference on Systems, Signals and Devices","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSD.2010.5585577","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Composite control of a delayed singularly perturbed system by using Lambert-W function
The composite state feedback control designed for singularly perturbed system SPS with small time-delay by using Lambert-W function is proposed in this paper. Based on the delayed slow subsystem (SS) and fast subsystems (FS) decomposition, we design a composite sate-feedback control. So the gain of delayed SS will be designed by using Lambert-W function and the gain of FS will be designed on the basis of classical pole placement method, and the two gains will be regrouped in global gain to design the delayed SPS. A numerical example is presented to illustrate the effectiveness of the proposed design approach.
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