Full-state constraints stabilization control for uncertain nonlinear systems

被引:0
作者
Jia, Fu-Jin [1 ,2 ]
Zhang, Tian-Liang [2 ]
Lu, Jun-Wei [3 ]
机构
[1] School of Electrical Engineering and Automation, Anhui University, Anhui, Hefei
[2] School of Automation, Nanjing University of Science and Technology, Jiangsu, Nanjing
[3] School of Electrical and Automation Engineering, Nanjing Normal University, Jiangsu, Nanjing
来源
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2024年 / 41卷 / 12期
基金
中国国家自然科学基金;
关键词
backstepping; barrier Lyapunov functions; full-state constraints; nonlinear systems;
D O I
10.7641/CTA.2023.20731
中图分类号
学科分类号
摘要
In this paper, the full-state constraints stabilization control for a class of nonlinear systems with unknown functions is studied. Different from the fuzzy approximation method and the neural network approximation method for solving the unknown function problem, the control method in this paper can make the system state asymptotically converge to the origin, and solve the “explosion of terms” problem of the backstepping method. At the same time, different from the barrier Lyapunov functions for solving the full-state constraints control problem, a new full-state constraints method is proposed to make the state asymptotically stable. Finally, the simulation results of Duffing system and single-link robot verify the effectiveness of this algorithm. © 2024 South China University of Technology. All rights reserved.
引用
收藏
页码:2393 / 2400
页数:7
相关论文
共 34 条
  • [1] AEYELS D., Stabilization of a class of nonlinear systems by a smooth feedback control, Systems & Control Letters, 5, 5, pp. 289-294, (1985)
  • [2] CHEN G, DE FIGUEIREDO RJP., On robust stabilization of nonlinear control systems, Systems & Control Letters, 12, 4, pp. 373-379, (1989)
  • [3] LIU Yonghua, HUANG Liangpei, XIAO Dongming, Et al., Dynamic state feedback stabilization for a class of nonaffine nonlinear systems with unknown time delays, Control Theory & Applications, 33, 7, pp. 923-928, (2016)
  • [4] HUO X, MA L, ZHAO X D, Et al., Observer-based fuzzy adaptive stabilization of uncertain switched stochastic nonlinear systems with input quantization, Journal of the Franklin Institute, 356, 4, pp. 1789-1809, (2019)
  • [5] MIN H F, XU S Y, YU X, Et al., Adaptive tracking control for stochastic nonlinear systems with full-state constraints and unknown covariance noise, Applied Mathematics and Computation, (2020)
  • [6] YE X D, JIANG J P., Adaptive nonlinear design without a priori knowledge og control directions, IEEE Transactions on Automatic Control, 43, 11, pp. 1617-1621, (1998)
  • [7] JIA F J, WANG X H, ZHOU X Y., Robust adaptive prescribed performance control for a class of nonlinear pure-feedback systems, International Journal of Robust and Nonlinear Control, 29, 12, pp. 3971-3987, (2019)
  • [8] LIU Yonghua, Adaptive control for a class of uncertain nonlinear systems with precribed performance, Control Theory & Applications, 31, 8, pp. 1123-1127, (2014)
  • [9] PARK J H, KIM S M, MOON C J., Adaptive neural control for strict feedback nonlinear systems without backstepping, IEEE Transactions on Neural Networks, 20, 7, pp. 1204-1029, (2009)
  • [10] LIU W K, WEI Y Y, DUAN G R., Adaptive control for second order multi-input multi-output nonlinear systems with state and input constraints, Control Theory & Applications, 36, 4, pp. 533-541, (2019)