2-D system theory based iterative learning control for linear continuous systems with time delays

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 52, Issue 7, 2005, Pages 1421-1430

  Li, Xiao Dong ^a   Chow, Tommy W S ^a   Ho, John K L ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Iterative control; Linear continuous multivariable system; Time delay; Two dimensional (2 D) system theory

Indexed keywords

DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MULTIVARIABLE CONTROL SYSTEMS; NUMERICAL METHODS; SYSTEM THEORY;

ITERATIVE CONTROL; LINEAR CONTINUOUS MULTIVARIABLE SYSTEM; ROESSER MODEL; TWO DIMENSIONAL SYSTEM THEORY;

LINEAR CONTROL SYSTEMS;

EID: 23144460656     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.851706     Document Type: Article

References (25)

1. J.-P. Richard, "Some trends and tools for the study of time delay systems," in Proc. 2nd IEEE-IMACS Conf. Computational Engineering Systems Applications, Hamarnmet, Tunisia, 1998, pp. 27-43.
2. F. Gouaisbaut, Y. Blanco, and J.-P. Richard, "Robust sliding mode control of nonlinear systems with delays: A design via polytopic formulation," Int. J. Contr., vol. 77, pp. 206-215, 2004.
3. M. Mahmoud, Robust Control and Filtering for Time-Delay Systems. New York: Marcel Decker, 2000.
4. S. Arimoto, S. Kawamura, and F. Miyazaki, "Bettering operation of robots by learning," J. Robot Syst., vol. 1, pp. 123-140, 1984.
5. K. L. Moore, Iterative Learning Control for Deterministic Systems. New York: Springer-Verlag, 1993.
6. J. Y. Choi and J. S. Lee, "Adaptive iterative learning control of uncertain robotic systems," in Proc. IEE, Contr. Theory Appl., vol. 147, 2000, pp. 217-223.
7. T. Sugie and T. Ono, "An iterative learning control law for dynamic systems," Automatica, vol. 27, no. 4, p. 729, 1991.
8. T. W. S. Chow and Y. Fang, "An iterative learning control method for continuous-time systems based on 2-D system theory," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 4, pp. 683-689, Apr. 1998.
9. Y. Fang and T. W. S. Chow, "Iterative learning control of linear discrete-time multivariable system," Aoutmatica, vol. 34, no. 11, pp. 1459-1462, 1998.
10. T. W. S. Chow and X.-D. Li, "A real-time learning control approach for nonlinear continuous-time systems using recurrent neural networks," IEEE Trans. Ind. Electron., vol. 47, no. 2, pp. 478-486, Apr. 2000.
11. Y. Fang and T. W. S. Chow, "2-D analysis for iterative learning controller for discrete-time systems with variable initial conditions," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 5, pp. 722-727, May 2003.
12. Z. Geng and M. Jamshidi, "learning control system analysis and design based on 2-D system theory," J. Intell. Robot. Syst., pp. 17-26, 1990.
13. Z. Geng, R. Carroll, and J. Xies, "Two-dimensional model and algorithm analysis for a class of iterative learning control system," Int. J. Contr., vol. 52, pp. 833-862, 1990.
14. J. E. Kurek and M. B. Zaremba, "Iterative learning control synthesis based on 2-D system theory," IEEE Trans. Autom. Contr., vol. 38, no. 1, pp. 121-125, Jan. 1993.
15. D. Wang, "Convergence and robustness of discrete time nonlinear systems with iterative learning control," Automatica, vol. 34, no. 11, pp. 1445-1448, 1998.
16. H. S. Lee and Z. Bien, "Study on robustness of iterative learning control with nonzero initial error," Int. J. Contr., vol. 64, no. 3, pp. 345-359, 1996.
17. D. H. Hwang, Z. Bien, and S. R. Oh, "Iterative learning control method for discrete-time dynamic systems," in Proc. Inst. Elect. Eng., vol. 138, 1991, pp. 139-144.
18. T. Kaczorek and A. Stajniak, "Local reachability and minimum energy control of 2-D continuous-discrete linear systems," in Proc. 10th Int. Conf. Systems Engineering, vol. 6-8, Coventry, U.K, Sep. 1994, pp. 558-565.
19. E. Fridman and U. Shaked, "An improved stabilization method for linear time-delay systems," IEEE Trans. Autom. Contr., vol. 47, no. 11, pp. 1931-1937, Nov. 2002.
20. X. Li and C. de Souza, "Criteria for robust stability and stabilization of uncertain linear systems with delay," Automatica, vol. 33, pp. 1657-1662, 1997.
21. Y. Chen, M. Sun, B. Huang, and H. Dou, "Robust higher order repetitive learning control algorithm for tracking control of delayed repetitive systems," in Proc. 31st IEEE Conf. Decision and control, Tucson, Arizona, Dec. 1992, pp. 2504-2510.
22. K.-H. Park, Z. Bien, and D.-H. Huang, "Design of an iterative learning controller for a class of linear dynamic systems with time delay," in Proc. 2nd Asian control Conference, Seoul, Korea, Jul. 1997.
23. Y. Chen and C. Wen, Iterative Learning control - Convergence, Robustness, and Applications. New York: Springer-Verlag, 1999, vol. 248.
24. E. Rogers and D. H. Owens, Stability Analysis for Linear Repetitive Processes. Berlin, Germany: Springer-Verlag, 1992, vol. 175.
25. E. Rogers, K. Galkowski, and D. H. Owens, Control Systems Theory and Applications for Linear Repetitive Processes. Berlin, Germany: Springer-Verlag, 2001.