{"title":"一类带积分项的低温级联系统的镇定","authors":"Huiming Li, Xinglan Liu, Zhongcheng Zhou","doi":"10.1145/3565387.3565389","DOIUrl":null,"url":null,"abstract":"This paper considers the stabilization of an ODE (ordinary differential equation)-heat cascaded system with integral term. A two-step backstepping method is proposed to obtain the control law via selecting an intermediate control system. Then, the stability of the closed-loop system is proved by using Lyapunov function and the boundedness of the invertible backstepping transformation. Finally, a simulation experiment to illustrate the effectiveness of the controller.","PeriodicalId":182491,"journal":{"name":"Proceedings of the 6th International Conference on Computer Science and Application Engineering","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stabilization of an Ode-Heat Cascaded System with Integral Term\",\"authors\":\"Huiming Li, Xinglan Liu, Zhongcheng Zhou\",\"doi\":\"10.1145/3565387.3565389\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the stabilization of an ODE (ordinary differential equation)-heat cascaded system with integral term. A two-step backstepping method is proposed to obtain the control law via selecting an intermediate control system. Then, the stability of the closed-loop system is proved by using Lyapunov function and the boundedness of the invertible backstepping transformation. Finally, a simulation experiment to illustrate the effectiveness of the controller.\",\"PeriodicalId\":182491,\"journal\":{\"name\":\"Proceedings of the 6th International Conference on Computer Science and Application Engineering\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 6th International Conference on Computer Science and Application Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3565387.3565389\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 6th International Conference on Computer Science and Application Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3565387.3565389","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stabilization of an Ode-Heat Cascaded System with Integral Term
This paper considers the stabilization of an ODE (ordinary differential equation)-heat cascaded system with integral term. A two-step backstepping method is proposed to obtain the control law via selecting an intermediate control system. Then, the stability of the closed-loop system is proved by using Lyapunov function and the boundedness of the invertible backstepping transformation. Finally, a simulation experiment to illustrate the effectiveness of the controller.