{"title":"倒立摆摆起与稳定的非线性控制","authors":"F. Ying","doi":"10.9746/sicetr1965.34.e1","DOIUrl":null,"url":null,"abstract":"In this paper, we studied swing-up and stabilization problems for an inverted pendulum. An effective control method of stabilizing an inverted pendulum system without resorting to any approximation of each nonlinear term appearing in mathematical models is presented. The key idea was to derive a partially linearized system using the coordinate change and input transformation via the Lie theoretic approach. On the other hand, we proposed a nonlinear state feedback control law to regulate the swinging energy of the pendulum system.","PeriodicalId":60146,"journal":{"name":"组合机床与自动化加工技术","volume":"118 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2003-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonlinear control of swing-up and stabilization of an inverted pendulum\",\"authors\":\"F. Ying\",\"doi\":\"10.9746/sicetr1965.34.e1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we studied swing-up and stabilization problems for an inverted pendulum. An effective control method of stabilizing an inverted pendulum system without resorting to any approximation of each nonlinear term appearing in mathematical models is presented. The key idea was to derive a partially linearized system using the coordinate change and input transformation via the Lie theoretic approach. On the other hand, we proposed a nonlinear state feedback control law to regulate the swinging energy of the pendulum system.\",\"PeriodicalId\":60146,\"journal\":{\"name\":\"组合机床与自动化加工技术\",\"volume\":\"118 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"组合机床与自动化加工技术\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://doi.org/10.9746/sicetr1965.34.e1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"组合机床与自动化加工技术","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.9746/sicetr1965.34.e1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear control of swing-up and stabilization of an inverted pendulum
In this paper, we studied swing-up and stabilization problems for an inverted pendulum. An effective control method of stabilizing an inverted pendulum system without resorting to any approximation of each nonlinear term appearing in mathematical models is presented. The key idea was to derive a partially linearized system using the coordinate change and input transformation via the Lie theoretic approach. On the other hand, we proposed a nonlinear state feedback control law to regulate the swinging energy of the pendulum system.
期刊介绍:
ZUHE JICHUANG YU ZIDONGHUAJIAGONGJISHU was founded in 1959, by the China Association of Science and Technology, China Mechanical Engineering society and Dalian Combined machine tool Research Institute co-sponsored, is a domestic and foreign public mechanical engineering academic journal. Main columns: Design and research, control and testing, process and equipment, special review, advanced management technology
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Chinese core periodical
Core journal of Chinese science and technology
High quality journals in Mechanical Engineering (Level T3)
Science and Technology Journals World Impact Index (WJCI)
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