Dynamic iterative learning control for linear repetitive processes over finite frequency ranges

被引:0
|
作者
Wang L. [1 ]
Yang H.-Z. [1 ]
Tao H.-F. [1 ]
机构
[1] Key Laboratory of Advanced Process Control for Light Industry of Ministry of Education, Jiangnan University, Wuxi
来源
Kongzhi yu Juece/Control and Decision | 2021年 / 36卷 / 03期
关键词
Different relative degrees; Dynamic iterative learning control; Finite frequency range; Generalized Kalman-Yakubovich-Popov lemma; Linear repetitive processes;
D O I
10.13195/j.kzyjc.2019.0873
中图分类号
学科分类号
摘要
This paper addresses the problem of dynamic iterative learning control for discrete linear repetitive processes with different relative degrees, whose aim is to develop monotonically convergent control law design over a finite frequency domain. For the control objects with zero relative degree and high relative degree, the dynamic iterative learning controllers in the finite frequency domain are designed by combining the two-dimensional (2D) system theory. Using the generalized Kalman-Yakubovich-Popov (KYP) lemma, the sufficient conditions for the existence of the controller and the gain matrix of the controller are given in the form of linear matrix inequalities (LMI). Finally, the superiority and feasibility of such a control law are tested on a spring damping system and a gantry robot, including a comparative performance against a static law applied to the same robot. Copyright ©2021 Control and Decision. All rights reserved.
引用
收藏
页码:599 / 608
页数:9
相关论文
共 17 条
  • [1] Bristow D A, Tharayi M, Alleyne A G., A survey of iterative learning control a learning-based method for high-performance tracking control, IEEE Control Systems Magazine, 26, 3, pp. 96-114, (2006)
  • [2] Shi J, Gao F R, Wu T J., Robust iterative learning control design for batch processes with uncertain perturbations and initialization, AIChE Journal, 52, 6, pp. 2171-2187, (2006)
  • [3] Wang L M, Chen X, Gao F R., An LMI method to robust iterative learning fault-tolerant guaranteed cost control for batch processes, Chinese Journal of Chemical Engineering, 21, 4, pp. 401-411, (2013)
  • [4] Wang X, Chu B, Rogers E., Higher-order iterative learning control law design using linear repetitive process theory: Convergence and robustness, IFAC-Papers on Line, 50, 1, pp. 3123-3128, (2017)
  • [5] Ding J, Cichy B, Galkowski K, Et al., Robust fault-tolerant iterative learning control for discrete systems via linear repetitive processes theory, International Journal of Automation and Computing, 12, 3, pp. 254-265, (2015)
  • [6] Tao H F, Paszke W, Yang H Z, Et al., Finite frequency range robust iterative learning control of linear discrete system with multiple time-delays, Journal of the Franklin Institute, 356, 5, pp. 2690-2708, (2019)
  • [7] Li X W, Gao H J., An overview of generalized KYP lemma based methods for finite frequency analysis and design, Acta Automatica Sinica, 42, 11, pp. 1605-1619, (2016)
  • [8] Paszke W, Rogers E, Galkowski K, Et al., Robust finite frequency range iterative learning control design and experimental verification, Control Engineering Practice, 21, 10, pp. 1310-1320, (2013)
  • [9] Paszke W, Rogers E, Galkowski K, Et al., Experimentally verified generalized KYP Lemma based iterative learning control design, Control Engineering Practice, 53, pp. 57-67, (2016)
  • [10] Gahinet P, Apkarian P., A linear matrix inequality approach to H<sub>∞</sub> control, International Journal of Robust and Nonlinear Control, 4, 4, pp. 421-448, (1994)