Abstract:The basic idea of iterative learning control (ILC) is to make use of the repetitiveness within the system to achieve a better performance. Highorder ILC convergence sufficient condition is provided for a non linear time varying dynamic system with uncertainties and disturbances. Convergence speed of the typical PD highorder ILC scheme is also discussed in comparison with Dtype ILC algorithm. Simulation examples are provided to illustrate that highorder ILC scheme can be better than Dtype ILC in terms of convergence speed and the convergence is guaranteed if the proposed conditions are satisfied and items of uncertainties and disturbances are bounded.
李宏胜. 具有扰动的非线性系统高阶迭代学习控制[J]. 模式识别与人工智能, 2006, 19(4): 450-454.
LI HongSheng. HighOrder Iterative Learning Control of NonLinear System with Disturbance. , 2006, 19(4): 450-454.
[1] Arimoto S, Kawamura S, Miyazaki F. Bettering Operation of Robots by Learning. Journal of Robotic Systems, 1984, 1(2): 123-140 [2] Moore K L, Bahl V. Iterative Learning Control Technique for Mobile Robot Path-Tracking Control. Proc of the SPIE, 1999, 3838: 240-251 [3] Oh S R, Bien Z, Suh I H. An Iterative Learning Control Method with Application for the Robot Manipulator. IEEE Journal of Robotics and Automation, 1988, 4(5): 508-514 [4] Moore K L, Xu J X. Special Issue on Iterative Learning Control. International Journal of Control, 2000, 70(10): 819-823 [5] Chen Y Q, Sun M, Huang B, Dou H F. Robust Higher Order Repetitive Learning Control Algorithm for Tracking Control of Delayed Repetitive Systems. In: Proc of the 31st IEEE Conference on Decision and Control. Tucson, USA, 1992, 2504-2510 [6] Yan X G, Lin H, Dai G Z. D-Type On-Line Learning Control for a Class of Nonlinear System. Acta Aeronautica ET Astronautica Sinica, 1999, 20(1): 27-29 (in Chinese) (严星刚,林 辉,戴冠中. 一类非线性系统的D型在线学习控制. 航空学报, 1999, 20(1): 27-29) [7] Xu S X, Yang F W. Synthesis of an Iterative Learning Controller for Uncertain Linear System. Control Theory and Applications, 2002, 19(4): 650-652 (in Chinese) (许顺孝,杨富文. 不确定线性系统迭代学习控制器的设计. 控制理论与应用, 2002, 19(4): 650-652)