摘要
Invertedpendulumsareimportantobjectsoftheoreticalinvestigationandexperimentintheareaofcontroltheoryandengineering.Theresearchesconcentrateontherigidfinitedimensionalmodelswhicharedescribedbyordinarydifferentialequations(ODEs).Completerigidityistheapproximationofpracticalmodels;Elasticityshouldbeintroducedintomathematicalmodelsintheanalysisofsystemdynamicsandintegrationofhighlyprecisecontroller.Anewkindofinvertedpendulum,elasticinvertedpendulumwasproposed,andelasticitywasconsidered.MathematicalmodelwasderivedfromHamiltonianprincipleandvariationalmethods,whichwereformulatedbythecouplingofpartialdifferentialequations(PDE)andODE.Becauseofinfinitedimensional,systemanalysisandcontrolofelasticinvertedpendulumismoresophisticatedthantherigidone.
出版日期
2004年03月13日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)