Adaptive sliding-mode iterative learning control for a class of uncertain systems

被引:0
作者
Shi H.-H. [1 ]
Chen Q. [1 ]
机构
[1] College of Information Engineering, Zhejiang University of Technology, Zhejiang, Hangzhou
来源
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 07期
基金
中国国家自然科学基金;
关键词
adaptive control; iterative learning control; Lyapunov-like approach; nonparametric uncertainty;
D O I
10.7641/CTA.2022.20474
中图分类号
学科分类号
摘要
In this paper, an adaptive sliding-mode iterative learning control method is proposed for the state tracking problem of a class of uncertain nonlinear systems that perform repetitive tasks in finite time, and the complete convergence to the reference trajectory can be achieved in the presence of arbitrary initial shifts. The fully saturated adaptive iterative learning laws are designed to estimate the parametric and nonparametric uncertainties and the desired control input, and the estimated values are constrained within the specified bounds to avoid the positive accumulation of the estimated values. The designed control method requires less system model information, and does not need the Lipschitz bound function to be known when estimating the upper bound of the system nonparametric uncertainties. Rigorous theoretical analysis is provided to ensure the uniform boundedness of all signals and the uniform convergence of tracking error in the closed-loop system. The simulation results verify the effectiveness of the proposed control method. © 2023 South China University of Technology. All rights reserved.
引用
收藏
页码:1162 / 1171
页数:9
相关论文
共 33 条
[1]  
LI He, SUN Mingxuan, ZHANG Jing, Repetitive learning control for a class of uncertain nonlinear systems, Acta Automatica Sinica, 44, 10, pp. 1854-1863, (2018)
[2]  
LIU Yan, RUAN Xiaoe, Monotonic convergence characteristics of PID-type iterative learning control for linear time-invariant systems, Control Theory & Applications, 37, 9, pp. 1873-1879, (2020)
[3]  
XU Jianxin, HOU Zhongsheng, On learning control: The state of the art and perspective, Acta Automatica Sinica, 31, 6, pp. 943-955, (2005)
[4]  
ARIMOTO S., Learning control theory for robotic motion, International Journal of Adaptive Control and Signal Processing, 4, 6, pp. 543-564, (1990)
[5]  
SUN M, WANG D., Sampled-data iterative learning control for nonlinear systems with arbitrary relative degree, Automatica, 37, 2, pp. 283-289, (2001)
[6]  
MENG D, MOORE K L., Contraction mapping-based robust convergence of iterative learning control with uncertain, locally lipschitz nonlinearity, IEEE Transactions on Systems Man & Cybernetics Systems, 50, 2, pp. 442-454, (2020)
[7]  
SHEN D, ZHANG C., Zero-error tracking control under unified quantized iterative learning framework via encoding-decoding method, IEEE Transactions on Cybernetics, 52, 4, pp. 1979-1991, (2022)
[8]  
XU J, TAN Y., A composite energy function-based learning control approach for nonlinear systems with time-varying parametric uncertainties, IEEE Transactions on Automatic Control, 47, 11, pp. 1940-1945, (2002)
[9]  
SUN M., A barbalat-like lemma with its application to learning control, IEEE Transactions on Automatic Control, 54, 9, pp. 2222-2225, (2009)
[10]  
CHIEN C, HSU C, YAO C., Fuzzy system-based adaptive iterative learning control for nonlinear plants with initial state errors, IEEE Transactions on Fuzzy Systems, 12, 5, pp. 724-732, (2004)