控制理论与应用2024，Vol.41Issue(5)：769-797,29.DOI:10.7641/CTA.2023.20003
二阶系统有限时间控制方法综述
Review on finite-time control method for a second-order system
摘要
Abstract
In comparison to the traditional and classical proportional-integral-derivative(PID)control,the finite-time control with exponential parameters has better control performance,so it has been widely researched in recent years.This paper reviews nearly all the mainstream finite-time control methods,and the main contributions of this review are as follows.First,the mainstream finite-time control methods are divided into seventeen finite-time state feedback control methods and six finite-time output feedback control methods,on the basis of stability analysis.Afterwards,for a general and fundamental second-order system,the mathematical expressions of all the control methods are explicitly presented by standardizing variables and parameters.In the next part,through principle analysis and comparative analysis,the advantages and disadvantages of every control method are summarized,in particular,the problem of"the contradiction between control singularity and convergence time"with regard to terminal sliding mode control,and the mistakes of some control methods are proposed.Finally,the comparison results and the future research directions of all the control methods are presented in tabular form.关键词
有限时间控制/终端滑模/齐次系统/加幂积分/输出反馈控制Key words
finite-time control/terminal sliding mode/homogeneous system/adding a power integrator/output feed-back control引用本文复制引用
姜博严,李佳玲,李传江,姚文卿..二阶系统有限时间控制方法综述[J].控制理论与应用,2024,41(5):769-797,29.基金项目
国家自然科学基金项目(61903123),江苏省自然科学基金项目(BK20190165),常州市重点研发计划项目(CE20215022),常州市科技支撑计划(工业)项目(CE20220046)资助.Supported by the National Natural Science Foundation of China(61903123),the Natural Science Foundation of Jiangsu Province(BK20190165),the Key R&D Program of Changzhou City(CE20215022)and the Science and Technology Support Plan(Industrial)Project of Changzhou City(CE20220046). （61903123）
