{"title":"用边界双继电器控制柔性绳索产生自激振动","authors":"L. Aguilar, Y. Orlov","doi":"10.1109/ICM54990.2023.10102093","DOIUrl":null,"url":null,"abstract":"Self-oscillations on a rope may help to release it when stuck inside a surface or rubbish. Here, we introduced the two-relay boundary controller to induce self-oscillations in a flexible rope or cable, governed as a hyperbolic partial differential equation. The two-relay controller has been used to induce periodic motion systems governed by nonlinear ordinary differential equations. As a contribution, the two-relay controller was extended to a class of partial differential equations. The asymptotic stability, without self-oscillator, was proved by means of a Lyapunov functional. Finally, we presented simulation results validating the proposed methodology.","PeriodicalId":416176,"journal":{"name":"2023 IEEE International Conference on Mechatronics (ICM)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generation of Self-oscillation in a Flexible Rope using Boundary Two-Relay Controller\",\"authors\":\"L. Aguilar, Y. Orlov\",\"doi\":\"10.1109/ICM54990.2023.10102093\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Self-oscillations on a rope may help to release it when stuck inside a surface or rubbish. Here, we introduced the two-relay boundary controller to induce self-oscillations in a flexible rope or cable, governed as a hyperbolic partial differential equation. The two-relay controller has been used to induce periodic motion systems governed by nonlinear ordinary differential equations. As a contribution, the two-relay controller was extended to a class of partial differential equations. The asymptotic stability, without self-oscillator, was proved by means of a Lyapunov functional. Finally, we presented simulation results validating the proposed methodology.\",\"PeriodicalId\":416176,\"journal\":{\"name\":\"2023 IEEE International Conference on Mechatronics (ICM)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2023 IEEE International Conference on Mechatronics (ICM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICM54990.2023.10102093\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 IEEE International Conference on Mechatronics (ICM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICM54990.2023.10102093","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generation of Self-oscillation in a Flexible Rope using Boundary Two-Relay Controller
Self-oscillations on a rope may help to release it when stuck inside a surface or rubbish. Here, we introduced the two-relay boundary controller to induce self-oscillations in a flexible rope or cable, governed as a hyperbolic partial differential equation. The two-relay controller has been used to induce periodic motion systems governed by nonlinear ordinary differential equations. As a contribution, the two-relay controller was extended to a class of partial differential equations. The asymptotic stability, without self-oscillator, was proved by means of a Lyapunov functional. Finally, we presented simulation results validating the proposed methodology.