{"title":"基于Lyapunov函数的二阶双继电器控制器轨道稳定性分析及其在三自由度欠驱动直升机上的应用","authors":"L. Aguilar, Daniel Espinoza","doi":"10.1109/ICMEAE.2014.9","DOIUrl":null,"url":null,"abstract":"This paper deals with the solution of the periodic motion problem in a 3-DOF under actuated helicopter. A two-relay controller was proposed in order to induce self-oscillations in the helicopter. A new framework for orbital stability analysis based on Lyapunov functions was proposed for the closed-loop system. The performance of the proposed two-relay controller to induce self-oscillations into a laboratory under actuated 3-DOF helicopter was verified by simulations.","PeriodicalId":252737,"journal":{"name":"2014 International Conference on Mechatronics, Electronics and Automotive Engineering","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Orbital Stability Analysis of Two-Relay Controller in Second Order Systems via Lyapunov Functions and Its Application to a 3-DOF Underactuated Helicopter\",\"authors\":\"L. Aguilar, Daniel Espinoza\",\"doi\":\"10.1109/ICMEAE.2014.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the solution of the periodic motion problem in a 3-DOF under actuated helicopter. A two-relay controller was proposed in order to induce self-oscillations in the helicopter. A new framework for orbital stability analysis based on Lyapunov functions was proposed for the closed-loop system. The performance of the proposed two-relay controller to induce self-oscillations into a laboratory under actuated 3-DOF helicopter was verified by simulations.\",\"PeriodicalId\":252737,\"journal\":{\"name\":\"2014 International Conference on Mechatronics, Electronics and Automotive Engineering\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 International Conference on Mechatronics, Electronics and Automotive Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMEAE.2014.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Conference on Mechatronics, Electronics and Automotive Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMEAE.2014.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Orbital Stability Analysis of Two-Relay Controller in Second Order Systems via Lyapunov Functions and Its Application to a 3-DOF Underactuated Helicopter
This paper deals with the solution of the periodic motion problem in a 3-DOF under actuated helicopter. A two-relay controller was proposed in order to induce self-oscillations in the helicopter. A new framework for orbital stability analysis based on Lyapunov functions was proposed for the closed-loop system. The performance of the proposed two-relay controller to induce self-oscillations into a laboratory under actuated 3-DOF helicopter was verified by simulations.