{"title":"互联非线性系统的有限时间镇定","authors":"N. Zoghlami, L. Beji, R. Mlayeh, A. Abichou","doi":"10.1109/CCA.2013.6662913","DOIUrl":null,"url":null,"abstract":"This paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part that preserves the systems finite-time stability. Sufficient conditions for finite-time stability are achieved, and permit to extend the asymptotic stability results presented in the literature. The procedure can be applied for a large variety of autonomous nonlinear multi-system with and without drift terms. The finite-time stabilizing-tracking control of kinematically nonholonomic model of multiple wheeled mobile robots is presented and illustrated.","PeriodicalId":379739,"journal":{"name":"2013 IEEE International Conference on Control Applications (CCA)","volume":"201 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Finite-time stabilization of interconnected nonlinear systems\",\"authors\":\"N. Zoghlami, L. Beji, R. Mlayeh, A. Abichou\",\"doi\":\"10.1109/CCA.2013.6662913\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part that preserves the systems finite-time stability. Sufficient conditions for finite-time stability are achieved, and permit to extend the asymptotic stability results presented in the literature. The procedure can be applied for a large variety of autonomous nonlinear multi-system with and without drift terms. The finite-time stabilizing-tracking control of kinematically nonholonomic model of multiple wheeled mobile robots is presented and illustrated.\",\"PeriodicalId\":379739,\"journal\":{\"name\":\"2013 IEEE International Conference on Control Applications (CCA)\",\"volume\":\"201 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE International Conference on Control Applications (CCA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCA.2013.6662913\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE International Conference on Control Applications (CCA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2013.6662913","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time stabilization of interconnected nonlinear systems
This paper deals with the finite-time stability and stabilization problems of interconnected nonlinear systems. We consider that there exist a finite-time stable controller for each isolated system for which is added a control part that preserves the systems finite-time stability. Sufficient conditions for finite-time stability are achieved, and permit to extend the asymptotic stability results presented in the literature. The procedure can be applied for a large variety of autonomous nonlinear multi-system with and without drift terms. The finite-time stabilizing-tracking control of kinematically nonholonomic model of multiple wheeled mobile robots is presented and illustrated.