On asymptotic stabilizability of linear systems with delayed input

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 2315-2320

  Lin, Zongli ^a   Fang, Haijun ^a  

^a UNIVERSITY OF VIRGINIA   (United States)

Author keywords

Actuator saturation; Low gain feedback; Stabilization; Time delay

Indexed keywords

ACTUATORS; ASYMPTOTIC STABILITY; CONTROL SYSTEM STABILITY; FEEDBACK CONTROL; GAIN CONTROL; TIME DELAY;

ACTUATOR SATURATION; LOW GAIN FEEDBACK; OPEN LOOP SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 34047197307     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. H.I. Ansoff, "Stability for linear oscillating systems with constant time lag," J. Appl. Mech., Vol. 16, pp. 158-164, 1949.
2. H.I. Ansoff and J.A. Krumhansl, "A general stability criterion for linear oscillating systems with constant time lag," Quart. Appl. Math., Vol. 6, pp. 337-341, 1948.
3. Y.-Y. Cao, Z. Lin and T. Hu, "Stability analysis of linear time-delay systems subject to input saturation," IEEE Trans. Circuits and Systems, Vol. 49, pp. 233-240, 2002.
4. B.-S. Chen, S.-S. Wang and H.-C. Lu, "Stabilization of time-delay system containing saturating actuators," Int. J. Contr., Vol. 47, pp. 867-881, 1988.
5. J. Chen and A. Latchman, "Frequency sweeping tests for stability independent of delay," IEEE Trans. Auto. Contr., Vol. 40, No. 9, pp. 1640-1645, 1995.
6. J.-H. Chou, I.-R. Horng and B.-S. Chen, "Dynamical feedback compensator for uncertain time-delay systems containing saturating actuators," Int. J. Contr., Vol. 49, pp. 961-968, 1989.
7. H. Fang and Z. Lin, "A further result on global stabilization of oscillators with bounded delayed input," IEEE Trans. Auto. Contr., Vol. 51, No. 1, pp. 121-128, 2006.
8. K. Gu, V.L. Kharitonov and J. Chen, Stability of Time-Delay Systems, Birkhäuser, Boston, 2003.
9. J. Hale, Theory of Functional Differential Equations, Springer, New York, 1977.
10. Q.L. Han and B. Ni, "Delay-dependent robust stabilization for uncertain constrained systems with pointwise and distributed time-varying delays," Proc. 38th IEEE Conf. Decision and Control, pp. 215-220, 1999.
11. Z. Lin, B. M. Chen and X. Liu, Linear Systems Toolkit, Technical Report, Department of Electrical and Computer Engineering, University of Virginia, 2004.
12. Z. Lin, Low Gain Feedback, Springer, London, 1998.
13. F. Mazenc, S. Mondie and S-I Niculescu, "Global stabilization of oscillators with bounded delayed input," Systems and Control Letters, Vol. 53, pp. 415-422, 2004.
14. F. Mazenc, S. Mondie and S-I Niculescu, "Global asymptotic stabilization for chains of integrators with a delay in the input," IEEE Trans. Auto. Contr., Vol. 48, pp. 57-63, 2003.
15. S. Mondié, R. Lozano and F. Mazenc, "Semiglobal stabilization of continuous systems with bounded delayed input," Proc. the 15th IFAC World Congress, Barcelona, Spain, 2002.
16. N. Minorsky, "Self-excited oscillations in dynamical systems possessing retarded actions," J. Appl. Mech, Vol. 9, pp. A65-A71, 1942.
17. S.-I. Niculescu, Delay Effects on Stability; A Robust Control Approach, Springer, Berlin, 2001.
18. S. Oucheriah, "Global stabilization of a class of linear continuous time-delay systems containing saturating controls," IEEE Trans. Circuits Syst. I, Vol. 43, pp. 1012-1015, 1996.
19. S. Tarbouriech and J.M. Gomes da Silva Jr., "Synthesis of controllers for continuous-time delay systems with saturating controls via LMI's," IEEE Trans. Auto. Contr., Vol. 45, pp. 105-111, 2000.
20. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York, 1979.
21. M. Wu, Y. He and J.-H. She, "New delay-dependent stability criteria and stabilizing method for neutral systems," IEEE Trans. Auto. Contr., Vol. 49, pp. 2266-2271, 2004.
22. L. Xie, E. Fridman and U. Shaked, "Robust control of distributed delay systems with application to combustion control," IEEE Trans. Auto. Contr., Vol. 46, No. 12, pp. 1930-1935, 2001.
23. S. Xie and L. Xie, "Stabilization of a class of uncertain large-scale stochastic systems with time delays," Automation, Vol. 36, pp. 161-167, 2000.
24. p-stability, " Proceedings of the 2nd Symposium on Structure, System and Control, Oaxaca, Mexico, 2004.
25. ∞ prediction with application to systems with delayed measurements," Automatica, Vol. 40, No. 7, pp. 1253-1261, 2004.