{"title":"非线性系统振动控制中的自动平均","authors":"A. Balestrino, F. Bernini, A. Landi","doi":"10.1109/CCA.1994.381311","DOIUrl":null,"url":null,"abstract":"Vibrational control is a nonclassical technique proposing the utilisation of zero mean parametric vibrations for shaping the response of a linear or nonlinear dynamic system. Several theoretical results on vibrational control are available in literature. In the case of nonlinear systems computational difficulties arise and theoretical results cannot easily be applied. A new averaging technique, based on the Taylor series expansion of the nonlinear system, is proposed in order to overcome such difficulties.<<ETX>>","PeriodicalId":173370,"journal":{"name":"1994 Proceedings of IEEE International Conference on Control and Applications","volume":"435 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Automatic averaging in the vibrational control of nonlinear systems\",\"authors\":\"A. Balestrino, F. Bernini, A. Landi\",\"doi\":\"10.1109/CCA.1994.381311\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Vibrational control is a nonclassical technique proposing the utilisation of zero mean parametric vibrations for shaping the response of a linear or nonlinear dynamic system. Several theoretical results on vibrational control are available in literature. In the case of nonlinear systems computational difficulties arise and theoretical results cannot easily be applied. A new averaging technique, based on the Taylor series expansion of the nonlinear system, is proposed in order to overcome such difficulties.<<ETX>>\",\"PeriodicalId\":173370,\"journal\":{\"name\":\"1994 Proceedings of IEEE International Conference on Control and Applications\",\"volume\":\"435 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1994 Proceedings of IEEE International Conference on Control and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCA.1994.381311\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1994 Proceedings of IEEE International Conference on Control and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.1994.381311","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Automatic averaging in the vibrational control of nonlinear systems
Vibrational control is a nonclassical technique proposing the utilisation of zero mean parametric vibrations for shaping the response of a linear or nonlinear dynamic system. Several theoretical results on vibrational control are available in literature. In the case of nonlinear systems computational difficulties arise and theoretical results cannot easily be applied. A new averaging technique, based on the Taylor series expansion of the nonlinear system, is proposed in order to overcome such difficulties.<>
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