A 2D systems approach to iterative learning control for discrete linear processes with zero Markov parameters

International Journal of Control

Volumn 84, Issue 7, 2011, Pages 1246-1262

  Hladowski, Lukasz ^a   Galkowski, Krzysztof ^a   Cai, Zhonglun ^b   Rogers, Eric ^b   Freeman, Chris T ^b   Lewin, Paul L ^b  

^a UNIVERSITY OF ZIELONA GÓRA   (Poland)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

experimental verification; Iterative learning control; repetitive process

Indexed keywords

2-D SYSTEMS; CONTROL LAWS; ERROR CONVERGENCE; EXPERIMENTAL VERIFICATION; GANTRY ROBOTS; ITERATIVE LEARNING CONTROL; LINEAR PLANTS; LINEAR PROCESS; LINEAR REPETITIVE PROCESS; MARKOV PARAMETERS; PICK AND PLACE; REPETITIVE PROCESS; STRONG FORM;

CONVERGENCE OF NUMERICAL METHODS; LEARNING ALGORITHMS; LINEAR MATRIX INEQUALITIES; TWO TERM CONTROL SYSTEMS;

PROCESS CONTROL;

EID: 79961150606     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2011.575799     Document Type: Conference Paper

References (20)

1. Ahn, H.S., Chen, Y., and Moore, K.L. (2007), 'Iterative Learning Control: Brief Survey and Categorization 1998-2004', IEEE Transactions on Systems Man and Cybernetics, Part C, 37, 1099-1121. (Pubitemid 350153305)
2. Arimoto, S., Kawamura, S., and Miyazaki, F. (1984a), 'Bettering Operations of Robots by Learning', Journal of Robotic Systems, 1, 123-140.
3. Arimoto, S., Miyazaki, F., and Kawamura, S. (1984b), 'Bettering Operation of Dynamical Systems by Learning: A New Control Theory for Servomechanism or Mechatronics Systems', in 23rd Conference on Decision and Control, Las Vegas, 12-14 December, pp. 1064-1069.
4. Arimoto, S., Miyazaki, F., Kawamura, S., and Tamaki, S. (1985), 'Learning Control Theory for Dynamical Systems', in 24th Conferene on Decision and Control, Fort Lauderdale, 11-13 December, pp. 1375-1380. (Pubitemid 16598489)
5. Bristow, D.A., Tharayil, M., and Alleyne, A.G. (2006), 'A Survey of Iterative Learning Control', IEEE Control Systems Magazine, 26, 96-114.
6. Chen, Y.Q., Wen, C.Y., and Sun, M.X. (2007), 'A Robust High-order P-type Iterative Learning Controller using Current Iteration Tracking Error', International Journal of Control, 68, 331-342.
7. Freeman, C.T., Lewin, P.L., and Rogers, E. (2007), 'Further Results on the Experimental Evaluation of Iterative Learning Control Algorithms for Non-minimum Phase Plants', International Journal of Control, 80, 569-582. (Pubitemid 46361492)
8. Galkowski, K., Cichy, B., Rogers, E., and Lam, J. (2006), 'Stabilization of a Class of Uncertain 'wave' Discrete Linear Repetitive Processes', in 45th IEEE Conference on Decision and Control, San Diego, 13-15 December, pp. 1435-1440. (Pubitemid 351283334)
9. Hladowski, L., Cai, Z., Galkowski, K., Rogers, E., Freeman, C.T., and Lewin, P.L. (2008), 'Using 2D Systems Theory to Design Output Signal Based Iterative Learning Control Laws with Experimental Verification', in 47th IEEE Conference on Decision and Control, Cancun, 9-11 December, pp. 3026-3031.
10. Hladowski, L., Galkowski, K., Cai, Z., Rogers, E., Freeman, C.T., and Lewin, P.L. (2010), 'Experimentally Supported 2D Systems Based Iterative Learning Control Law Design for Error Convergence and Performance', Control Engineering Practice, 18, 339-348.
11. Kurek, J.E., and Zaremba, M.B. (1993), 'Iterative Learning Control Synthesis Based on 2-D System Theory', IEEE Transactions on Automatic Control, 38, 121-125.
12. Norrlof, M., and Gunnarsson, S. (1999), 'A Frequency Domain Analysis of a Second-Order Iterative Learning Control Algorithm', in 38th Conference on Decision and Control, Phoenix, 7-10 December, pp. 1587-1592. (Pubitemid 30575535)
13. Norrlof, M., and Gunnarsson, S. (2002), 'Experiemtnal Comparison of Some Classical Iterative Learning Control Schemes', IEEE Transactions on Robotics and Automation, 18, 636-641. (Pubitemid 35372528)
14. Ratcliffe, J.D., Hatonen, J.J., Lewin, P.L., Rogers, E., Harte, T.J., and Owens, D.H. (2005), 'Ptype Iterative Learning Control for Systems that Contain Resonance', International Journal of Adaptive Control and Signal Processing, 19, 769-796. (Pubitemid 43035022)
15. Ratcliffe, J.D., Lewin, P.L., Rogers, E., Hatonen, J.J., and Owens, D.H. (2006), 'Norm-optimal Iterative Learning Control Applied to Gantry Robots for Automation Applications', IEEE Transactions on Robotics, 22, 1303-1307. (Pubitemid 44921758)
16. Roesser, R.P. (1975), 'A Discrete State Space Model for Linear Image Processing', IEEE Transactions on Automatic Control, 20, 1-10.
17. Rogers, E., Galkowski, K., and Owens, D.H. (2007), 'Control Systems Theory and Applications for Linear Repetitive Processes', Lecture Notes in Control and Information Sciences New York: Springer Verlag.
18. Wallen, J., Norrlof, M., and Gunnarsson, S. (2008), 'Arm-side Evaluation of ILC Applied to a Six-degrees-of-freedom Industrial Robot', 17th IFAC World Congress, Seoul, pp. 13450-13455.
19. Wang, D. (1999), 'On Anticipatory Iterative Learning Control Designs for Continuous Time Nonlinear Dynamic Systems', in 38th IEEE Conference on Decision and Control, Phoenix, 7-10 December, pp. 1605-1610. (Pubitemid 30575538)
20. Wang, Y., and Longman, R.W. (1996), 'Use of Non-causal Digital Signal Processing in Learning and Repetitive Control', Advances in the Astronautical Sciences, 90, 649-668.