Newton method based iterative learning control for discrete non-linear systems

International Journal of Control

Volumn 79, Issue 10, 2006, Pages 1263-1276

  Lin, T ^a   Owens, D H ^a   Hatonen J ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; LEARNING SYSTEMS; NONLINEAR SYSTEMS; PROBLEM SOLVING; TIME VARYING CONTROL SYSTEMS;

ITERATIVE LEARNING CONTROL (ILC); MANIPULATOR MODEL; NEWTON METHOD;

ITERATIVE METHODS;

EID: 33746263286     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600821187     Document Type: Article

References (23)

1. N. Amann, D.H. Owens and E. Rogers, "Iterative learning control using optimal feedback and feedforward actions", Int. J. Contr., 65, pp. 277-293, 1996a.
2. N. Amann, D.H. Owens and E. Rogers, "Iterative learning control for discrete-time systems with exponential rate of convergence", IEE Proc. - Contr. Theory and Appl., 143, pp. 217-224, 1996b.
3. N. Amann, D.H. Owens and E. Rogers, "Predictive optimal iterative learning control", Int. J. Contr., 69, pp. 203-226, 1998.
4. S. Arimoto, S. Kawamura and F. Miyazaki, "Bettering operation of robots by learning", J. of Robot. Sys., 1, pp. 123-140, 1984a.
5. S. Arimoto, S. Kawamura and F. Miyazaki, "Iterative learning control for robot systems", in Proc. of IECON, Tokyo, Japan, 1984b, pp. 22-26.
6. K.E. Avrachenkov, "Iterative learning control based on quasi-Newton methods", in Proc. of 37th IEEE Conf. on Decision and Control, Tampa, FL, USA, 1998.
7. Z. Bien and J. Xu, Iterative Learning Control: Analysis, Design, Integration and Applications, London: Kluwer Academic Publishers, 1998.
8. C. Chen and J. Hwang, "Iterative learning control for position tracking of a pneumatic actuated X-Y table". Contr. Eng. Prac., 2005, vol. 13, No. 12, pp. 1455-1461.
9. C. Chien, "A discrete iterative learning control for a class of nonlinear time-varying systems", IEEE Trans. on Autom. Contr., 43, pp. 748-752, 1998.
10. C. Choi and G. Jeong, "Perfect tracking for maximum-phase nonlinear systems by iterative learning control", Int. J. Sys. Sci., 32, pp. 1177-1183, 2001.
11. H. Du, M. Hu, J. Xie and S. Ling, "Control of an electrostrictive actuator using Newton's method", Prec. Eng., 2005, vol. 29, No. 3, pp. 375-380.
12. C.G. Economou, M. Morari and B.O. Palsson, "Internal model control: 5. Extention to nonlinear systems", Indus. Eng. Chem.: Process Des. Develop., 25, pp. 403-411, 1986.
13. M. French, E. Rogers, H. Wibowo and D.H. Owens, "A 2D systems approach to iterative learning control based on nonlinear adaptive control techniques", in Proc. of the IEEE Int. Symposium on Circuits and Systems (ISCAS 2001), vol. 2, pp. II429-II432, 2001.
14. J. Hätönen, T. Harte, D.H. Owens, J. Ratcliffe, P. Lewin and E. Rogers, "A new robust iterative learning control algorithm for application on a gantry robot", in Proc. of the IEEE Conf. on Emerging Technologies in Factory Automation (ETFA03), Portugal, 2003, pp. 305-312.
15. M. Hu, H. Du, S. Ling, Z. Zhou and Y. Li, "Motion control of an electrostrictive actuator", Mechatronics, 14, pp. 153-161, 2004.
16. J.M. Ortega and W.C. Rheinboldt, Iterative Solution of a Nonlinear Equation in Several Variables, London: Academic Press, 1970.
17. D.H. Owens and J. Hätönen, "Iterative learning control - an optimization paradigm", Ann. Rev. Contr., 29, pp. 57-70, 2005.
18. D.H. Owens, N. Amann, E. Rogers and M. French, "Analysis of linear iterative learning control schemes - 2D systems/repetitive processes approach", Multidimensional Sys. Sig. Process., 11, pp. 125-177, 2000.
19. D. Wang, "Convergence and robustness of discrete time non-linear systems with iterative learning control", Automatica, 34, pp. 1445-1448, 1998.
20. Z. Xiong and J. Zhang, "Batch-to-batch optimal control of nonlinear batch processes based on incrementally updated models", IEE Proc. - Contr. Theory Appl., 151, pp. 158-165, 2004.
21. J. Xu, "Analysis of iterative learning control for a class of nonlinear discrete-time systems", Automatica, 33, pp. 1905-1907, 1997.
22. J. Xu and Y. Tan, "On the P-type and Newton-type ILC Scheme for dynamic systems with non-affine-in-input factors", Automatica, 38, pp. 1237-1242, 2002a.
23. J. Xu and Y. Tan, "Robust optimal design and convergence properties analysis of iterative learning control approaches", Automatica, 38, pp. 1867-1880, 2002b.