Robust sampled-data stabilization of linear systems: An input delay approach

Automatica

Volumn 40, Issue 8, 2004, Pages 1441-1446

  Fridman, Emilia ^a   Seuret, Alexandre ^b   Richard, Jean Pierre ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b ECOLE CENTRALE DE LILLE   (France)

Author keywords

Input delay; LMI; Sampled data control; Stabilization; Time varying delay

Indexed keywords

APPROXIMATION THEORY; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

INPUT DELAY; LINEAR MATRIX INEQUALITIES; SAMPLED DATA CONTROL; TIME VARYING DELAY;

LINEAR SYSTEMS;

EID: 2942517991     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.03.003     Document Type: Article

References (25)

1. Astrom K., Wittenmark B. Adaptive control. 1989;Addison-Wesley, Reading, MA.
2. Bamieh B., Pearson J., Francis B., Tannenbaum A. A lifting technique for linear periodic systems. Systems and Control Letters. 17:1991;79-88.
3. ∞ optimal control and related minimax design problems. A dynamic game approach. Systems and control: Foundation and applications. Boston: Birkhauser.
4. Cao Y., Lin Z., Hu T. Stability analysis of linear time-delay systems subject to input saturation. IEEE Transactions on Circuits and Systems. 49:2002;233-240.
5. Cao Y., Sun Y., Cheng C. Delay-dependent robust stabilization of uncertain systems with multiple state delays. IEEE Transactions on Automatic Control. 43:1998;1608-1612.
6. 2 optimal sampled-data control IEEE Transactions on Automatic Control. 36:1991;387-397.
7. Dullerud G., Glover K. Robust stabilization of sampled-data systems to structured LTI perturbations. IEEE Transactions on Automatic Control. 38:1993;1497-1508.
8. Fridman E. Use of models with aftereffect in the problem of design of optimal digital control. Automation and Remote Control. 53(10):1992;1523-1528. (English. Russian original).
9. Fridman E. Stability of linear descriptor systems with delay. A Lyapunov-based approach Journal of Mathematical Analysis and Applications. 273(1):2002;24-44.
10. ∞ control of time-delay systems with saturating actuators International Journal of Robust and Nonlinear Control. 13(9):2003;885-907.
11. Fridman E., Shaked U. An improved stabilization method for linear time-delay systems. IEEE Transactions on Automatic Control. 47(11):2002;1931- 1937.
12. ∞ control of linear time-delay systems" IEEE Transactions on Automatic Control. 48(3):2003;520-525.
13. Hale J., Lunel S. Introduction to functional differential equations. 1993;Springer, New York.
14. Hu L., Cao Y., Shao H. Constrained robust sampled-data control for nonlinear uncertain systems. International Journal of Robust and Nonlinear Control. 12:2002;447-464.
15. 2 sampled-data control for linear uncertain systems IEEE Transaction Systems Man and Cybernetics, B. 33:2003;149-155.
16. Kolmanovskii V., Myshkis A. Applied theory of functional differential equations. 1999;Kluwer, Dordrecht.
17. Mikheev Yu.V., Sobolev V.A., Fridman E.M. Asymptotic analysis of digital control systems. Automation and Remote Control. 49(9):1988;1175-1180. (English. Russian original).
18. Niculescu S.I., de Souza C., Dugard L., Dion J.M. Robust exponential stability of uncertain systems with time-varying delays. IEEE Transactions on Automatic Control. 43(5):1998;743-748.
19. Oishi Y. A bound of conservativeness in sampled-data robust stabilization and its dependence on sampling periods. Systems and Control Letters. 32:1997;11-19.
20. 2 -performance of sampled-data controllers From continuous-time to open-loop Automatica. 31(4):1995;617-620.
21. 2 -induced norm for linear systems with jumps with applications to sampled-data systems SIAM Journal of Control and Optimization. 32:1994;1128-1150.
22. Takaba K., Morihira N., Katayama T. A generalized Lyapunov theorem for descriptor systems. Systems and Control Letters. 24:1995;49-51.
23. Tarbouriech S., Gomes da Silva J. Synthesis of controllers for continuous-time delay systems with saturating controls via LMI's. IEEE Transactions on Automatic Control. 45(1):2000;105-111.
24. 2 optimal control SIAM Journal of Control and Optimization. 33(3):1995;834-862.
25. Yamamoto, Y. (1990). New approach to sampled-data control systems - a function space method. Proceedings of the 29th conference on decision and control, Honolulu, HW (pp. 1882-1887).