Adaptive robust state observers for a class of uncertain nonlinear dynamical systems with delayed state perturbations

IEEE Transactions on Automatic Control

Volumn 54, Issue 6, 2009, Pages 1407-1412

  Wu, Hansheng ^a  

^a PREFECTURAL UNIVERSITY OF HIROSHIMA   (Japan)

Author keywords

Asymptotic convergence; Nonlinear systems; Robustness; State observer; Time delay systems; Uncertainty

Indexed keywords

ASYMPTOTIC CONVERGENCE; ROBUSTNESS; STATE OBSERVER; TIME-DELAY SYSTEMS; UNCERTAINTY;

ASYMPTOTIC ANALYSIS; DELAY CONTROL SYSTEMS; DYNAMICAL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS; OBSERVABILITY; STATE ESTIMATION; TIME DELAY;

UNCERTAINTY ANALYSIS;

EID: 67649577198     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2017960     Document Type: Article

References (19)

1. B. L. Walcott and S. H. Zak, "State observation of nonlinear uncertain dynamical systems," IEEE Trans. Automat. Control, vol. 32, no. 2, pp. 166-170, Feb. 1987.
2. D. M. Dawson, Z. Qu, and J. C. Carroll, "On the state observation and output feedback problems for nonlinear uncertain dynamic systems," Syst. Control Lett., vol. 18, pp. 217-222, 1992.
3. D. W. Gu and F. W. Poon, "A robust state observer scheme," IEEE Trans. Automat. Control, vol. 46, no. 12, pp. 1958-1963, Dec. 2001.
4. M. Boutayeb and M. Darouach, "Comments on 'A robust state observer scheme'," IEEE Trans. Automat. Control, vol. 48, no. 7, pp. 1292-1293, Jul. 2003.
5. A. E. Pearson and Y. A. Fiagbedzi, "An observer for time lag systems," IEEE Trans. Automat. Control, vol. 34, no. 7, pp. 775-777, Jul. 1989.
6. J. Leyva-Ramos and A. E. Pearson, "An asymptotic modal observer for linear autonomous time lag systems," IEEE Trans. Automat. Control vol. 40, no. 7, pp. 1291-1294, Jul. 1995.
7. H. Trinh and M. Aldeen, "Comments on "An asymptotic modal observer for linear autonomous time lag systems'," IEEE Trans. Automat. Control vol. 42, no. 5, pp. 742-745, May 1997.
8. H. Trinh, "Linear functional state observer for time-delay systems," Int. J. Control, vol. 72, pp. 1642-1658, 1999.
9. H. H. Choi and M. J. Chung, "Robust observer-based H ∞ controller design for linear uncertain time - Delay systems," Automatica, vol. 33, pp. 1749-1752, 1997.
10. M. Darouach, "Linear functional observers for systems with delays in state variables," IEEE Trans. Automat. Control, vol. 46, no. 5, pp. 491-496, Mar. 2001.
11. M. Darouach, "Linear functional observers for systems with delays in state variables: The discrete - Time case," IEEE Trans. Automat. Control, vol. 50, no. 2, pp. 228-233, Feb. 2005.
12. M. Darouach, "Reduced-order observers for linear neutral delay systems," IEEE Trans. Automat. Control, vol. 50, no. 9, pp. 1407-1413, Sep. 2005.
13. S. Sundaram and C. N. Hadjicostis, "Delayed observers for linear systems with unknown inputs," IEEE Trans. Automat. Control, vol. 52, no. 2, pp. 334-339, Feb. 2007.
14. A. Seuret, T. Floquet, J. P. Richard, and S. K. Spurgeon, "A sliding mode observer for linear systems with unknown time varying delay," in Proc. 2007 American Control Conf., New York, Jul. 2007, pp. 4558-4563.
15. Y. H. Chen, "Adaptive robust observers for non - Linear uncertain systems," Int. J. Syst. Sci., vol. 21, pp. 803-814, 1990.
16. H. Wu, "Adaptive stabilizing state feedback controllers of uncertain dynamical systems with multiple time delays," IEEE Trans. Automat. Control, vol. 45, no. 9, pp. 1697-1701, Sep. 2000.
17. H. Wu, "Decentralized adaptive robust control for a class of large scale systems including delayed state perturbations in the interconnections," IEEE Trans. Automat. Control, vol. 47, no. 10, pp. 1745-1751, Oct. 2002.
18. H. Wu, "Adaptive robust tracking and model following of uncertain dynamical systems with multiple time delays," IEEE Trans. Automat. Control, vol. 49, no. 4, pp. 611-616, Apr. 2004.
19. H. Wu, "Continuous adaptive robust controllers guaranteeing uniform ultimate boundedness for uncertain nonlinear systems," Int. J. Contr., vol. 72, pp. 115-122, 1999.