Fractional-order iterative learning control for fractional-order linear systems

Asian Journal of Control

Volumn 13, Issue 1, 2011, Pages 54-63

  Li, Yan ^a,b   Chen, Yang Quan ^b   Ahn, Hyo Sung ^c  

^a SHANDONG UNIVERSITY   (China)

^b UTAH STATE UNIVERSITY   (United States)

^c Gwangju Institute of Science and Technology (GIST)   (South Korea)

Author keywords

Fractional calculus; Iterative learning control

Indexed keywords

CALCULATIONS; LEARNING ALGORITHMS; LINEAR SYSTEMS; TWO TERM CONTROL SYSTEMS;

CONVERGENCE CONDITIONS; FRACTIONAL CALCULUS; FRACTIONAL ORDER; FRACTIONAL-ORDER SYSTEMS; ITERATIVE LEARNING; ITERATIVE LEARNING CONTROL; ITERATIVE PROCESS; LINEAR TIME-INVARIANT SYSTEM;

LEARNING SYSTEMS;

EID: 79953806763     PISSN: 15618625     EISSN: None     Source Type: Journal    
DOI: 10.1002/asjc.253     Document Type: Article

References (14)

1. Ahn, H.-S., K. L. Moore, and Y Q. Chen, Iterative Teaming Control: Robustness and Monotonic Convergence for Interval Systems, Springer-Verlag, London (2007).
2. Sun, M. and D. Wang, "Higher relative degree nonlinear systems with ILC using lower-order differentiations," Asian J. Control, Vol. 4, No. 1, pp. 38-48 (2008).
3. Norrlof, M., "Disturbance rejection using an ILC algorithm with iteration varying filters," Asian J. Control, Vol. 6, No. 3, pp. 432-438 (2008).
4. Lee, F.-S., C.-J., Chien, J.-C., Wang, and J.-J. Liu, "Application of a model-based iterative learning technique to tracking control of a piezoelectric system," Asian J. Control, Vol. 7, No. 1, pp. 29-37 (2008).
5. Ye, Y, D. Wang, B. Zhang, and Y Wang, "Simple LMI based learning control design," Asian J. Control, Vol. 11, No. 1, pp. 74-77 (2009).
6. Arimoto, S., S. Kawamura, and F. Miyazaki, "Bettering operation of robots by learning," J. Robot. Syst., Vol. 1, No. 2, pp. 123-140 (1984).
7. Oustaloup, A. "La Derivation non entiere: theorie, synthese et applications," Editions Hermes, Paris, France (1994).
8. Tenreiro Machado, J. A., "Analysis and design of fractional-order digital control systems," Syst. Anal. Model. Simul, Vol. 27, No. 2-3, pp. 107-122 (1997).
9. Podlubny, I., Fractional Differential Equations, Academic Press, San Diego, London (1999).
10. α-type iterative learning control," Proc. 40th IEEE Conf. Decis. Control, Orlando, Florida, USA (2001).
11. α-type iterative learning control for fractional LTI system," Proc. 4th Int. Carpath. Control Conf., High Tatras, Tatranska Lomnica, Slovak Republic, pp. 869-872 (2003).
12. Li, Y., Y. Q. Chen, and H.-S. Ahn, "Fractional order iterative learning control," Proc. 2009 ICROS-SICE Int. Joint Conf., Fukuoka, Japan, pp. 3106-3110 (2009).
13. Sabatier, J., O. P. Agrawal, and J. A. Tenreiro Machado (ed.), Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, The Netherlands (2007).
14. Kilbas, A. A., H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier Science, Amsterdam, The Netherlands (2006).