{"title":"倒立磁针的建模与控制:基于能量的一自由度系统非线性控制器","authors":"P. S. Kumar, H. Priyadarshan, M. S. H. Simha","doi":"10.1109/INDICON.2016.7839006","DOIUrl":null,"url":null,"abstract":"In this paper, we study the design of energy based controller to control the magnetic needle at desired location. The magnetic needle is allowed rotate about one axis, in the external magnetic field by pivoting its center. Due to attraction and repulsive forces between the magnetic needle and external magnetic field, the magnetic needle will have two equilibrium points, one is stable and the other is an unstable equilibrium point. The magnetic needle dynamics are derived by considering uniform and non-uniform external magnetic field. The controller is designed to control the magnetic needle at the desired location. Different control strategies are derived based on the Lyapunov's function. Different control strategies steady state and transient performance are compared based on the simulation results.","PeriodicalId":283953,"journal":{"name":"2016 IEEE Annual India Conference (INDICON)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Modeling and control of inverted magnetic needle: Energy based nonlinear controller for one degree of freedom system\",\"authors\":\"P. S. Kumar, H. Priyadarshan, M. S. H. Simha\",\"doi\":\"10.1109/INDICON.2016.7839006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the design of energy based controller to control the magnetic needle at desired location. The magnetic needle is allowed rotate about one axis, in the external magnetic field by pivoting its center. Due to attraction and repulsive forces between the magnetic needle and external magnetic field, the magnetic needle will have two equilibrium points, one is stable and the other is an unstable equilibrium point. The magnetic needle dynamics are derived by considering uniform and non-uniform external magnetic field. The controller is designed to control the magnetic needle at the desired location. Different control strategies are derived based on the Lyapunov's function. Different control strategies steady state and transient performance are compared based on the simulation results.\",\"PeriodicalId\":283953,\"journal\":{\"name\":\"2016 IEEE Annual India Conference (INDICON)\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE Annual India Conference (INDICON)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INDICON.2016.7839006\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE Annual India Conference (INDICON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INDICON.2016.7839006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modeling and control of inverted magnetic needle: Energy based nonlinear controller for one degree of freedom system
In this paper, we study the design of energy based controller to control the magnetic needle at desired location. The magnetic needle is allowed rotate about one axis, in the external magnetic field by pivoting its center. Due to attraction and repulsive forces between the magnetic needle and external magnetic field, the magnetic needle will have two equilibrium points, one is stable and the other is an unstable equilibrium point. The magnetic needle dynamics are derived by considering uniform and non-uniform external magnetic field. The controller is designed to control the magnetic needle at the desired location. Different control strategies are derived based on the Lyapunov's function. Different control strategies steady state and transient performance are compared based on the simulation results.
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