Analysis of two particular iterative learning control schemes in frequency and time domains

Automatica

Volumn 43, Issue 9, 2007, Pages 1565-1572

  Tayebi, Abdelhamid ^a  

^a LAKEHEAD UNIVERSITY   (Canada)

Author keywords

Iterative learning control; Linear systems; Positive real

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; ITERATIVE METHODS; TIME DOMAIN ANALYSIS;

ITERATIVE LEARNING CONTROL; POSITIVE REAL;

LEARNING SYSTEMS;

EID: 34547564340     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.01.026     Document Type: Article

References (31)

1. ∞ approach to linear iterative learning control design. International Journal of Adaptive Control and Signal Processing 10 (1996) 767-781
2. Arimoto S. Control theory of non-linear mechanical systems (1996), Oxford Science Publications, Oxford, UK
3. Arimoto S., Kawamura S., and Miyazaki F. Bettering operation of robots by learning. Journal of Robotic Systems 1 (1984) 123-140
4. Arimoto, S., & Naniwa, T. (2000, 2001). Equivalence relations between learnability, output-dissipativity and strict positive realness. International Journal of Control, 73(10), 824-831. (See also the Corrections to this paper in 74(14), 1481-1482.)
5. Bien Z., and Xu J.-X. Iterative learning control: Analysis, design, integration and applications (1998), Kluwer Academic Publishers, Dordrecht
6. Chen, Y. & Wen, C. (1999). Iterative learning control: Convergence, robustness and applications. Lecture notes in control and information sciences. Berlin: Springer.
7. Chen Y., Wen C., and Sun M. A robust high-order P-type iterative learning controller using current iteration tracking error. International Journal of Control 68 2 (1997) 331-342
8. Chien C.-J., and Liu J.S. A P-type iterative learning controller for robust output tracking of non-linear time-varying systems. International Journal of Control 64 (1996) 319-334
9. Chien C.-J., and Yao C.-Y. An output-based adaptive iterative learning controller for high relative degree uncertain linear systems. Automatica 40 1 (2004) 145-153
10. French, M., Munde, G., Rogers, E., & Owens, D. H. (1999). Recent developments in adaptive iterative learning control. In Proceedings of the IEEE conference on decision and control (pp. 264-269) Phoenix, Arizona.
11. French M., and Rogers E. Nonlinear iterative learning by an adaptive Lyapunov technique. International Journal of Control 73 10 (2000) 840-850
12. Huang C.H., Ioannou P.A., Maroulas J., and Safonov M.G. Design of strictly positive real systems using constant output feedback. IEEE Transactions on Automatic Control 44 3 (1999) 569-573
13. Ioannou P.A., and Sun J. Robust adaptive control (1996), Prentice-Hall, Englewood Cliffs, NJ
14. Khalil H.K. Nonlinear systems. 3rd ed. (2002), Prentice-Hall, Englewood-Cliffs, NJ
15. Kuc T.-Y., and Lee J.S. Learning strictly positive real linear systems with uncertain parameters and unknown input disturbances. Automatica 32 5 (1996) 791-792
16. Kuc T.-Y., Lee J.S., and Nam K. An iterative learning control theory for a class of nonlinear dynamic systems. Automatica 28 6 (1992) 1215-1221
17. Moore, K. L. (1993). Iterative learning control for deterministic systems. Advances in industrial control. Berlin: Springer.
18. Moore K.L. Iterative learning control: An expository overview. Applied and Computational Controls, Signal Processing, and Circuits 1 (1999) 151-214
19. Norrlöf M., and Gunnarsson S. A note on causal and CITE iterative learning control algorithms. Automatica 41 2 (2005) 345-350
20. Owens D.H., Li L.M., and Banks S.P. Multi-periodic repetitive control system: A Lyapunov stability analysis for MIMO systems. International Journal of Control 77 5 (2004) 504-515
21. Phan, M. Q., Longman, R. W., & Moore, K. L. (2000). Unified formulation of linear iterative learning control. In Proceedings of IAAS/AIAA Space Flight Mechanics Meeting, Clearwater, FL.
22. Saab S.S. On the P-type learning control. IEEE Transactions on Automatic Control 39 11 (1994) 2298-2302
23. Sun M., and Wang D. Sampled-data iterative learning control for nonlinear systems with arbitrary relative degree. Automatica 37 2 (2001) 283-289
24. Sun W., Khargonekar P.P., and Shim D. Solution to the positive real control problem for linear time-invariant systems. IEEE Transactions on Automatic Control 39 10 (1994) 2034-2046
25. Tayebi A. Model reference adaptive iterative learning control for linear systems. International Journal of Adaptive Control and Signal Processing 20 9 (2006) 475-489
26. Tayebi, A. (2006b). On ILC design for MIMO-LTI Systems. In Proceedings of American control conference (pp. 940-945), Minneapolis, Minnesota USA.
27. Tayebi A., and Zaremba M.B. Robust iterative learning control design is straightforward for uncertain LTI systems satisfying the robust performance condition. IEEE Transactions on Automatic Control 48 1 (2003) 101-106
28. Xu, J.-X., Lee, T. H., & Zhang, H.-W. (2004). Analysis and comparison of two practical iterative learning control schemes. In Proceedings of IEEE conference on control Application (pp. 382-387), Taipei, Taiwan.
29. Xu, J.-X., & Tan, Y. (2003). Linear and nonlinear iterative learning control. Lecture notes in control and information sciences. Berlin: Springer.
30. Xu, J.-X., Wang, X.-W., & Heng, L. T. (1995). Analysis of continuous iterative learning control systems using current cycle feedback. In Proceedings of American control conference (pp. 4221-4225).
31. Xu J.-X., and Yan R. On initial conditions in iterative learning control. IEEE Transactions on Automatic Control 50 9 (2005) 1349-1354