Robust iterative learning control design for uncertain time-delay systems based on a performance index

IET Control Theory and Applications

Volumn 4, Issue 5, 2010, Pages 759-772

  Meng, D ^a   Jia, Y ^a   Du, J ^b   Yu, F ^c  

^a BEIHANG UNIVERSITY   (China)

^b BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^c HENAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL INPUTS; ERROR SYSTEMS; ITERATIVE LEARNING CONTROL; LEARNING GAIN; LYAPUNOV; MONOTONIC CONVERGENCE; MULTIPLE TIME DELAY; NUMERICAL SIMULATION; PERFORMANCE INDICES; STABILITY CONDITION; STABLE ALGORITHMS; TIME-VARYING DELAY; TWO-DIMENSIONAL ANALYSIS; UNCERTAIN TIME-DELAY SYSTEM;

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; DESIGN; FUZZY CONTROL; LEARNING ALGORITHMS; LINEAR MATRIX INEQUALITIES; TIME DELAY; UNCERTAIN SYSTEMS;

TWO TERM CONTROL SYSTEMS;

EID: 77955185694     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2008.0510     Document Type: Article

References (30)

1. Bristow, D.A., Tharayil, M., and Alleyne, A.G.: ' A survey of iterative learning control: a learning-based method for high-performance tracking control ', IEEE Control Syst. Mag., 2006, 26, (3), p. 96-114 0272-1708
2. Ahn, H.S., Chen, Y., and Moore, K.L.: ' Iterative learning control: brief survey and categorization ', IEEE Trans. Syst. Man, Cybern. C, Appl. Rev., 2007, 37, (6), p. 1099-1121 1094-6977 (Pubitemid 350153305)
3. Ahn, H.S., Moore, K.L., and Chen, Y.: ' Iterative learning control: robustness and monotonic convergence for interval systems ', (Springer-Verlag, 2007)
4. Geng, Z., Carroll, R., and Xie, J.: ' Two-dimensional model and algorithm analysis for a class of iterative learning control systems ', Int. J. Control, 1990, 52, (4), p. 833-862 0020-7179
5. Kurek, J.E., and Zaremba, M.B.: ' Iterative learning control synthesis based on 2-D system theory ', IEEE Trans. Autom. Control, 1993, 38, (1), p. 121-125 0018-9286
6. Saab, S.S.: ' A discrete-time learning control algorithm for a class of linear time-invariant systems ', IEEE Trans. Autom. Control, 1995, 40, (6), p. 1138-1142 0018-9286
7. Chow, T.W.S., and Fang, Y.: ' An iterative learning control method for continuous-time systems based on 2-D system theory ', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1998, 45, (4), p. 683-689 1057-7122
8. Li, X.D., Chow, T.W.S., and Ho, J.K.L.: ' 2-D system theory based iterative learning control for linear continuous systems with time delays ', IEEE Trans. Circuits Syst. I, Regul. Pap., 2005, 52, (7), p. 1421-1430
9. Shi, J., Gao, F., and Wu, T.J.: ' Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system ', J. Process Control, 2005, 15, (8), p. 907-924 0959-1524 (Pubitemid 40999989)
10. Owens, D.H., Amann, N., Rogers, E., and French, M.: ' Analysis of linear iterative learning control schemes - a 2D systems/repetitive processes approach ', Multidimens. Syst. Signal Process., 2000, 11, (1-2), p. 125-177 0923-6082
11. French, M., Rogers, E., Wibowo, H., and Owens, D.H.: ' A 2D systems approach to iterative learning control based on nonlinear adaptive control techniques ', Proc. 2001 IEEE Int. Symp. on Circuits and Systems, Sydney, NSW, Australia, May, 2001, p. 429-432
12. Rogers, E., Galkowski, K., Gramacki, A., Gramacki, J., and Owens, D.H.: ' Stability and controllability of a class of 2-D linear systems with dynamic boundary conditions ', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 2002, 49, (2), p. 181-195 1057-7122 (Pubitemid 34291470)
13. Paszke, W., Galkowski, K., Rogers, E., and Owens, D.H.: ' Guaranteed cost control of uncertain differential linear repetitive processes ', IEEE Trans. Circuits Syst. II, Express Briefs, 2004, 51, (11), p. 629-634
14. Sulikowskia, B., Galkowski, K., and Rogers, E.: ' PI output feedback control of differential linear repetitive processes ', Automatica, 2008, 44, (5), p. 1442-1445 0005-1098
15. Hladowski, L., Galkowski, K., Cai, Z., Rogers, E., Freeman, C.T., and Lewin, P.L.: ' A 2D systems approach to iterative learning control with experimental validation ', Proc. 17th IFAC World Congress, Seoul, Korea, July, 2008, p. 2832-2837
16. Sun, M., and Wang, D.: ' Iterative learning control design for uncertain dynamic systems with delayed states ', Dyn. Control, 2000, 10, (4), p. 341-357 0925-4668
17. Park, K.H., Bien, Z., and Hwang, D.H.: ' Design of an iterative learning controller for a class of linear dynamic systems with time delay ', IEE Proc. Control Theory Appl., 1998, 145, (6), p. 507-512 1350-2379
18. Chen, Y., Gong, Z., and Wen, C.: ' Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delays ', Automatica, 1998, 34, (3), p. 345-353 0005-1098
19. Hu, Q., Xu, J.X., and Lee, T.H.: ' Iterative learning control design for Smith predictor ', Syst. Control Lett., 2001, 44, (3), p. 201-210 0167-6911
20. Sun, M., and Wang, D.: ' Initial condition issues on iterative learning control for non-linear systems with time delay ', Int. J. Syst. Sci., 2001, 32, (11), p. 1365-1375 0020-7721
21. Xu, J.X., Lee, T.H., and Tan, Y.: ' Enhancing trajectory tracking for a class of process control problems using iterative learning ', Eng. Appl. Artf. Intell., 2002, 15, (1), p. 53-64
22. Geng, J., and Qi, L.: ' An open-closed-loop PID-type iterative learning control algorithm for uncertain time-delay systems ', Proc. 4th Int. Conf. on Machine Learning and Cybernetics, Guangzhou, China, August, 2005, p. 1154-1159
23. Meng, D., Jia, Y., Du, J., and Yuan, S.: ' Feedback approach to design fast iterative learning controller for a class of time-delay systems ', IET Control Theory Appl., 2009, 3, (2), p. 225-238
24. Longman, R.W.: ' Iterative learning control and repetitive control for engineering practice ', Int. J. Control, 2000, 73, (10), p. 930-954 0020-7179
25. Norrlof, M., and Gunnarsson, S.: ' Time and frequency domain convergence properties in iterative learning control ', Int. J. Control, 2002, 75, (14), p. 1114-1126 0020-7179
26. Tayebi, A.: ' Analysis of two particular iterative learning control schemes in frequency and time domains ', Automatica, 2007, 43, (9), p. 1565-1572 0005-1098
27. Fujimoto, K., and Sugie, T.: ' Iterative learning control of Hamiltonian systems: I/O based optimal control approach ', IEEE Trans. Autom. Control, 2003, 48, (10), p. 1756-1761 0018-9286
28. Xu, J.X., Hu, Q.P., Lee, T.H., and Yamamoto, S.: ' Iterative learning control with Smith time delay compensator for batch processes ', J. Process Control, 2001, 11, (3), p. 321-328 0959-1524 (Pubitemid 32264848)
29. ∞ control of systems with parameter uncertainty ', Int. J. Control, 1996, 63, (4), p. 741-750 0020-7179
30. Wang, D.: ' On D-type and P-type ILC designs and anticipatory approach ', Int. J. Control, 2000, 73, (10), p. 890-901 0020-7179