Iterative learning control design with high-order internal model for nonlinear systems

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 434-439

  Yin, Chenkun ^a   Xu, Jian Xin ^b   Hou, Zhongsheng ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ITERATIVE METHODS; LEARNING ALGORITHMS; LEARNING SYSTEMS; NONLINEAR SYSTEMS; TRAJECTORIES;

CONTINUOUS TIME NONLINEAR SYSTEMS; DATA-DRIVEN CONTROL; DESIRED TRAJECTORIES; INTERNAL MODELING; ITERATIVE LEARNING CONTROL; POLYNOMIAL OPERATORS; REFERENCE TRAJECTORIES; TRACKING PERFORMANCE;

TWO TERM CONTROL SYSTEMS;

EID: 77950823827     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399801     Document Type: Conference Paper

References (21)

1. Y. Q. Chen, K. L. Moore, J. Yu, and T. Zhang, "Iterative learning control and repetitive control in hard disk drive industry - a tutorial," International Journal of Adaptive Control and Signal Processing , Vol.22, no.4, pp. 325-343, 2008.
2. K. Hamamoto and T. Sugie, "Iterative learning control for robot manipulators using the finite dimensional input subspace," IEEE Transaction on Robotics and Automation, Vol.18, no.4, pp. 632-635, 2002.
3. A. Tayebi, "Adaptive iterative learning control for robot manipulators," Automatica, Vol.40, no.7, pp 1195-1203, 2004.
4. Z. S. Hou, J. X. Xu and J. W. Yan, "An iterative learning approach for density control of freeway traffic flow via ramp metering," Transportation research Part C, Vol.16, no.1, pp. 71-97, 2008.
5. M. X. Sun and D. W. Wang, "Iterative learning control with initial rectifying action," Automatica, Vol.38, no.7, pp. 1177-1182, 2002.
6. J. X. Xu and Y. Tan, Linear and Nonlinear Iterative Learning Control, Lecture notes in control and information sciences, Springer, 2003.
7. A. Tayebi and C.-J. Chien, "A unified adaptive iterative learning control framework for uncertain nonlinear systems," IEEE Transactions on Automatic Control, Vol.52, no.10, pp. 1907-1913, 2007.
8. Z. Bien and I. M. Huh, "High-order Iterative Learning Control Algorithm," IEE Proceedings Part-D: Control Theory and Applications, Vol.136, no.3, pp. 105-112, 1989.
9. M. Q. Phan and R. W. Longman, "Higher-order iterative learning control by pole placement and noise filter," in Proceedings of the 15th IFAC Congress, Barcelona, Spain, July, 2002.
10. ∞ control of discrete linear repetitive processes," in Proceeding of 42nd IEEE Conference on Decision and Control, Maui, HI, Dec. 2003, pp. 628-633.
11. T. Sugie and F. Sakai, "Noise tolerant iterative learning control for a class of continuous-time systems," Automatica, Vol.43, no.10, pp. 1766-1771, 2007.
12. Y. Q. Chen, Z. Gong and C. Y. Wen, "Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delay," Automatica, Vol.34, no.3, pp. 345-353, 1998.
13. H.-S. Ahn, Y. Q. Chen and K. L. Moore, "Iterative learning control: brief survey and categorization," IEEE Transactions on Systems, Man, and Cybernetics - Part C: Applications and Reviews, Vol.37, no.6, pp. 1099-11021, 2007.
14. K. L. Moore, Y. Q. Chen and H.-S. Ahn, "Iterative learning control: a tutorial and big picture View," in Proceedings of 45th IEEE Conference on Decision and Control, San Diego, CA, Oct. 2006, pp. 2352-2357.
15. Y. Q. Chen and K. L. Moore, "Harnessing the nonrepetitiveness in iterative learning control," in Proceedings of 41st IEEE Conference on Decision and Control, Las Vegas, NV, Dec. 2002, pp. 3350-3355.
16. K. L. Moore, "A matrix fraction approach to higher-order iterative learning control: 2-D dynamics through repetition-domain filtering," in Second International Workshop on Multidimensional (nD) Systems, Silesia, Poland, June, 2000, pp. 99-104.
17. H. S. Ahn, K. L. Moore and Y. Q. Chen, "Stability analysis of discretetime iterative learning control systems with interval uncertainty," Automatica, Vol.43, no.5, pp. 892-902, 2007.
18. R. H. Chi, Z. S. Hou and J. X. Xu, "Adaptive ILC for a class of discrete-time systems with iteration-varying trajectory and random initial condition," Automatica, Vol.44, no.8, pp. 2207-2213, 2008.
19. S. S. Saab, W. G. Vogt and M. H. Mickle,"Learning control algorithm for tracking 'slowly' varying trajectories," IEEE Transactions on Systems, Man, and Cybernetics - Part B, Vol.27, no.4, pp. 657-669, 1997.
20. J.-X. Xu and J. Xu, "On iterative learning for different tracking tasks in the presence of time-varying uncertainties," IEEE Transactions on Systems, Man, and Cybernetics - Part B, Vol.34, no.1, pp. 589-597, 2004.
21. D. A. Bristow, M. Tharayil and A. G. Allyne, "A survey of iterative learning," IEEE Control Systems Magazine, Vol.26, no.3, pp. 96-114, 2006.