Analysis of linear iterative learning control schemes - a 2D systems/repetitive processes approach

Multidimensional Systems and Signal Processing

Volumn 11, Issue 1, 2000, Pages 125-177

  Owens, D H ^a   Amann, N ^b   Rogers, E ^c   French, M ^c  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b DAIMLER AG   (Germany)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LEARNING ALGORITHMS; LINEAR CONTROL SYSTEMS; PREDICTIVE CONTROL SYSTEMS; PROBLEM SOLVING; SYSTEM STABILITY; TWO DIMENSIONAL;

LINEAR ITERATIVE LEARNING CONTROL; TWO DIMENSIONAL REPETITIVE PROCESSES; TWO DIMENSIONAL SYSTEMS PROCESSES;

CONTROL SYSTEM ANALYSIS;

EID: 0033700833     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008494815252     Document Type: Article

References (32)

1. S. Arimoto, S. Kawamura, and F. Miyazaki, "Bettering Operations of Robots by Learning," Journal of Robotic Systems, vol. 1, 1984, pp. 123-140.
2. K. L. Moore, Iterative Learning Control for Deterministic Systems, Advances in Industrial Control Series, London U. K.: Springer-Verlag, 1983.
3. K. L. Moore and J-X Xu (Eds), Special Issue of The International Journal of Control, 2000.
4. Dedicated Web Server for Iterative Learning Control, URL http://ilc.ee.nus.edu.sg/
5. E. Rogers and D. H. Owens, Stability Analysis for Linear Repetitive Processes, Lecture Notes in Control and Information Series, vol 175, Berlin: Springer-Verlag, 1992.
6. ∞ Approach to Learning Control Systems," International Journal of Adaptive Control and Signal Processing, vol. 4, 1990, pp. 465-474.
7. N. Amann, Optimal Algorithms for Iterative Learning Control, PhD Thesis, University of Exeter, U.K., 1996.
8. D. H. Owens, Feedback and Multivariable Systems, London: Peter Peregrinus, 1978.
9. D. H. Owens and D. Neuffer, "Theoretical and Computational Studies and Iterative Learning Control," Report No. 92/02, School of Engineering and Computer Science, University of Exeter, U. K., 1992.
10. D. H. Owens, A. Wahl, and N. Amann, "Studies in Optimization Based Iterative Learning Control," Report No. 93/09, School of Engineering and Computer Science, University of Exeter, U. K., 1993.
11. D. J. Clements and B. D. O. Anderson, Singular Optimal Control: The Linear Quadratic Problem, Berlin: Springer-Verlag, 1978.
12. J. C. Willems, A. Kitapci, and L. M. Silverman, "Singular Optimal Control: A Geometric Approach," SIAM Journal on Control and Optimization, vol. 24, 1986, pp. 323-327.
13. K. Furuta and M. Yamakita, "The Design of a Learning Control System for Multivariable Systems," In Proceedings of the IEEE International Symposium on Intelligent Control, 1987, pp. 371-376.
14. N. Amann, D. H. Owens and E. Rogers, "Iterative Learning Control Using Optimal Feedback and Feedforward Actions," International Journal of Control, vol. 65, no. 2, 1996, pp. 277-293.
15. D. W. Marquardt, "An Algorithm for Least-Squares Estimation of Nonlinear Parameters," Journal of the Society of Industrial and Applied Mathematics, vol. 11, 1963, pp. 431-441.
16. B. D. O. Anderson and J. B. Moore, Optimal Control - Linear Optimal Control, Englewood Cliffs, N. J.: Prentice-Hall, 1989.
17. D. G. Luenberger, Optimization by Vector Space Methods, New York: John Wiley, 1969.
18. B. A. Francis, "The Optimal Linear-Quadratic Time-Invariant Regulator with Cheap Control," IEEE Transactions on Automatic Control, vol. AC-24, no. 4, 1979, pp. 616-621.
19. H. Kwakernaak and R. Sivan, "The Maximally Achievable Accuracy of Linear Optimal Regulators and Linear Optimal Filters," IEEE Transactions on Automatic Control, vol. AC-17, no. 1, pp. 79-86.
20. G. Curtelin, B. Caron, and H. Saari, "A Specific Repetitive Control Algorithm for Continuous and Digital Systems: Study and Applications," In IEE International Conference Control 94, pp. 634-639.
21. C. A. Garića, D. M. Prett, and M. Morari, "Model Predictive Control: Theory and Practice - A Survey," Automatica, vol. 25, 1989, pp 335-348.
22. D. W. Clarke, C. Mohtadi, and P. S. Tuffs, "Generalized Predictive Control," Automatica, vol. 23, 1987, pp. 137-160.
23. N. Amann, D. H. Owens, and E. Rogers. "Predictive Optimal Iterative Learning Control," International Journal of Control, vol. 69, no. 2, 1998, pp. 203-226.
24. L. M. Silverman, "Inversion of Multivariable Linear Systems," IEEE Transactions on Automatic Control, vol. AC 14, 1969, pp. 270-276.
25. T. Kato, Perturbation Theory for Linear Operators, 2nd edition, Berlin: Springer-Verlag.
26. R. E. Skelton, Dynamic Systems Control, New York: Wiley, 1988.
27. A. Ilchmann, "Non-identifier Based Control of Dynamical Systems - A Survey," IMA Journal of Mathematical Control and Information, vol. 8, 1991, pp. 321-366.
28. G. S. Munde, Adaptive Iterative Learning Control, PhD Thesis, University of Exeter, UK, 1998.
29. B. D. O. Anderson, "A Systems Theoretical Criterion for Positive Real Systems," SIAM Journal on Control and Optimization, vol. 5, no. 2, 1967, pp. 171-182.
30. D. H. Owens, D. Pratzel-Volters, and A. Ilchmann, "Positive Real Structures and High Gain Adaptive Stabilization," IMA Journal of Mathematical Control and Information, vol. 4, 1987, pp. 167-181.
31. M. Kristic, I. Kanellakopoulos, and P. Kokotovic, Nonlinear and Adaptive Control Design, New York: Wiley, 1995.
32. N. Amann, D. H. Owens, and E. Rogers, "Iterative Learning Control for Discrete-Time Systems with Exponential Rate of Convergence," Proceedings of The Institution of Electrical Engineers, vol. 143, no. 2, 1996, pp. 217-224.