Functional observability and the design of minimum order linear functional observers

IEEE Transactions on Automatic Control

Volumn 55, Issue 5, 2010, Pages 1268-1273

  Fernando, Tyrone Lucius ^a   Trinh, Hieu Minh ^b   Jennings, Les ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b DEAKIN UNIVERSITY   (Australia)

Author keywords

Functional detectability; Functional observability; Functional observers; Minimum order observers

Indexed keywords

DETECTABILITY; FUNCTIONAL DETECTABILITY; FUNCTIONAL OBSERVER; LINEAR FUNCTIONAL OBSERVERS; LINEAR TIME INVARIANT SYSTEMS; MINIMUM ORDER; MINIMUM-ORDER OBSERVER; OPEN PROBLEMS; TECHNICAL NOTES;

INVARIANCE; TIME VARYING CONTROL SYSTEMS;

OBSERVABILITY;

EID: 77952231118     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2042761     Document Type: Article

References (17)

1. D. G. Luenberger, "Observers for multivariable systems," IEEE Trans. Autom. Control, vol.AC-11, no.2, pp. 190-197, Apr. 1966.
2. T. E. Fortman and D. Williamson, "Design of a low order observer for linear feedback control laws," IEEE Trans. Autom. Control, vol.AC-17, no.3, pp. 301-308, Jun. 1972.
3. P. Murdoch, "Observer design of a linear functional of the state vector," IEEE Trans. Autom. Control, vol.AC-18, no.3, pp. 308-310, Jun. 1973.
4. P. Murdoch, "Design of degenerate observers," IEEE Trans. Autom. Control, vol.AC-19, no.4, pp. 441-442, Aug. 1974.
5. J. R. Roman and T. E. Bullock, "Design of minimal-order stable observers for linear functions of the state via realization theory," IEEE Trans. Autom. Control, vol.AC-20, no.5, pp. 613-622, Oct. 1975.
6. J. B. Moore and G. F. Ledwich, "Minimal-order observers for estimating linear functionals of a state vector," IEEE Trans. Autom. Control, vol.AC-20, no.5, pp. 623-632, Oct. 1975.
7. K. Furuta and S. Kawaji, "Linear functional observer with possible minimal dimension," IEEE Trans. Autom. Control, vol.AC-22, no.6, pp. 977-980, Dec. 1977.
8. H. R. Sirisena, "Minimal-order observer for linear functions of the state vector," Int. J. Control, vol.29, pp. 235-254, 1979.
9. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
10. K. Furuta and T. Suzuki, "Design of functional observer in transfer function form," in Proc. Amer. Control Conf., 1999, pp. 4305-4309.
11. C.-C. Tsui, "On the order reduction of linear functional observers," IEEE Trans. Autom. Control, vol.AC-31, no.5, pp. 447-449, May 1986.
12. C.-C. Tsui, "What is the minimum function observer order," in Proc. 3rd World Congress Intell. Control Autom., Hefei, China, 2000, pp. 2811-2816.
13. B. D. O. Anderson, N. K. Bose, and E. I. Jury, "Output feedback stabilization and related problems-solution via decision methods," IEEE Trans. Autom. Contol., vol.AC-20, no.1, pp. 53-65, Feb. 1975.
14. R. D. Gupta, F. W. Fairman, and T. Hinamoto, "A direct procedure for the design of single functional observers," IEEE Trans. Circuits Syst., vol.CAS-28, no.4, pp. 294-300, Apr. 1981.
15. J. T. Watson and K. M. Grigoriadis, "Optimal unbiased filtering via linear matrix inequalities," Syst. Control Lett., vol.35, pp. 111-118, 1998.
16. M. Darouach, "Existence and design of functional observers for linear systems," IEEE Trans. Autom. Control, vol.45, no.5, pp. 940-943, May 2000.
17. J. O'Reilly, Observers for Linear Systems. New York: Academic, 1983.