Review on finite-time control method for a second-order system

被引:0
|
作者
Jiang B.-Y. [1 ,2 ]
Li J.-L. [2 ]
Li C.-J. [3 ]
Yao W.-Q. [1 ]
机构
[1] School of Electrical and Information Engineering, Changzhou Institute of Technology, Jiangsu, Changzhou
[2] College of Internet of Things Engineering, Hohai University, Jiangsu, Changzhou
[3] School of Astronautics, Harbin Institute of Technology, Heilongjiang, Harbin
基金
中国国家自然科学基金;
关键词
adding a power integrator; finite-time control; homogeneous system; output feedback control; terminal sliding mode;
D O I
10.7641/CTA.2023.20003
中图分类号
学科分类号
摘要
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. © 2024 South China University of Technology. All rights reserved.
引用
收藏
页码:769 / 797
页数:28
相关论文
共 175 条
  • [1] DING Shihong, LI Shihua, A survey for finite-time control problems, Control and Decision, 26, 2, pp. 161-169, (2011)
  • [2] LIU Yang, JING Yuanwei, LIU Xiaoping, Et al., Survey on finite-time control for nonlinear systems, Control Theory & Applications, 37, 1, pp. 4-15, (2020)
  • [3] JIANG Boyan, Research on finite-time control problem for second order system, (2018)
  • [4] SONG Shenmin, GUO Yong, LI Xuehui, Finite-time attitude tracking control for spacecraft with input saturation, Control and Decision, 30, 11, pp. 2004-2008, (2015)
  • [5] SONG Y, WANG Y, HOLLOWAY J, Et al., Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time, Automatica, 83, pp. 243-251, (2017)
  • [6] SONG Y, WANG Y, KRSTIC M., Time-varying feedback for stabilization in prescribed finite time, International Journal of Robust and Nonlinear Control, 29, 3, pp. 618-633, (2019)
  • [7] LU Y S, CHIU C W, CHEN J S., Time-varying sliding-mode control for finite-time convergence, Electrical Engineering, 92, 7, pp. 257-268, (2010)
  • [8] XIAO B, HU Q L, ZHANG Y M., Finite-time attitude tracking of spacecraft with fault-tolerant capability, IEEE Transactions on Control Systems Technology, 23, 4, pp. 1338-1350, (2015)
  • [9] HONG Y., Finite-time stabilization and stabilizability of a class of controllable systems, Systems & Control Letters, 46, 4, pp. 231-236, (2002)
  • [10] ZHENG Kai, Nonsmooth control system design based on the solution of filippov’s differential inclusion, (2009)