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
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2024年 / 41卷 / 05期
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
  • [51] SUI W S, DUAN G R, HOU M Z, Et al., Distributed fixed-time attitude synchronization control for multiple rigid spacecraft, International Journal of Control, Automation and Systems, 17, 5, pp. 1117-1130, (2019)
  • [52] ZHANG L, WEI C, WU R, Et al., Fixed-time extended state observer based non-singular fast terminal sliding mode control for a VTVL reusable launch vehicle, Aerospace Science and Technology, 82, pp. 70-79, (2018)
  • [53] ROUHANI E, ERFANIAN A., A finite-time adaptive fuzzy terminal sliding mode control for uncertain nonlinear systems, International Journal of Control, Automation and Systems, 16, 4, pp. 1938-1950, (2018)
  • [54] CHEN Q, XIE S, SUN M, Et al., Adaptive nonsingular fixed-time attitude stabilization of uncertain spacecraft, IEEE Transactions on Aerospace and Electronic Systems, 54, 6, pp. 2937-2950, (2018)
  • [55] WANG Xiao, GUO Jie, TANG Shengjing, Et al., Robust nonsingular Terminal sliding mode backstepping control for air-breathing hypersonic vehicles, Acta Aeronautica ET Astronautica Sinica, 38, 3, pp. 189-201, (2017)
  • [56] HE X, WANG Q, YU W., Finite-time distributed cooperative attitude tracking control for multiple rigid spacecraft, Applied Mathematics and Computation, 256, pp. 724-734, (2015)
  • [57] MENG Z, REN W, YOU Z., Distributed finite-time attitude containment control for multiple rigid bodies, Automatica, 46, 12, pp. 2092-2099, (2010)
  • [58] CHU Z, ZHU D, YANG S X., Observer-based adaptive neural network trajectory tracking control for remotely operated vehicle, IEEE Transactions on Neural Networks and Learning Systems, 28, 7, pp. 1633-1645, (2016)
  • [59] BOUKATTAYA M, MEZGHANI N, DAMAK T., Adaptive nonsingular fast terminal sliding-mode control for the tracking problem of uncertain dynamical systems, ISA Transactions, 77, pp. 1-19, (2018)
  • [60] MING C, WANG X, SUN R., A novel non-singular terminal sliding mode control-based integrated missile guidance and control with impact angle constraint, Aerospace Science and Technology, 94, (2019)
12345678910