A class of nonlinear observers for discrete-time systems with parametric uncertainty

International Journal of Systems Science

Volumn 31, Issue 1, 2000, Pages 19-26

  Wang, Zidong ^a   Unbehauen, H ^b  

^a France   (Germany)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CONTROL NONLINEARITIES; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; STATE ESTIMATION; UNCERTAIN SYSTEMS;

NONLINEAR OBSERVERS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0033993144     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/002077200291415     Document Type: Article

References (25)

1. Barmish, B.R., and Galamidi, A.R., 1986, Robustness of Luenberger observers: linear systems stabilized via nonlinear control. Automatica, 22, 413-423.
2. Ben-Israel, A., and Greville, T.N.E., 1974, Generalized Inverses: Theory and Applications (New York: Wiley).
3. Beran, E., and Grigoriadis, K., 1996, A combined alternating projections and semidefinite programming algorithm for low-order control design. Preprints of the 13th IFAC World Congress, San Francisco, California, 1996, Vol. C, pp. 85-90.
4. Bolzern, P., Colaneri, P., and De Nicolao, G., 1996, Optimal robust filtering with time-varying parameter uncertainty. International Journal of Control, 63, 557-576.
5. Chen, C.-T., 1984, Linear System Theory and Design (New York: Holt, Rinehart, and Winston)..
6. Chen, H., and Skelton, R.E., 1990, All covariance controllers for linear discrete-time systems. IEEE Transactions on Automatic Control, 35, 908-915.
7. Chen, J., Patton, R.J., and Zhang, H.Y., 1996, Design of unknown input observers and robust fault detection filter. International Journal of Control, 63, 85-105.
8. Doyle, J.C., and Stein, G., 1979, Robustness with observer, IEEE Transactions on Automatic Control, 24, 607-611.
9. Frank, P.M., 1990, Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-a survey and some new results. Automatica, 26, 459-474.
10. Geromel, J.C., Peres, P.L.D., and Souza, S.R., 1993, Output feedback stabilization of uncertain systems through a min/max problem. Preprints of the 12th IFAC Worm Congress, Sydney, Australia, 1993, Vol. 6, pp. 35-38.
11. Hajime, A., and Hiroyuki, I., 1979, Insensitive observers for discretetime linear systems. Automatica, 15, 641-651.
12. Hunt, L.R., and Verma, M., 1994, Observers for nonlinear systems in steady state. IEEE Transactions on Automatic Control, 39, 2113-2118.
13. Khargonekar, P.P., Petersen, I.R., and Zhou, K., 1990, Robust stabilization of uncertain linear systems: quadratic stabilization and H∞n control theory. IEEE Transactions on Automatic Control, 35, 356-361.
14. Luenberger, D.G., 1966, Observers for multivariable systems. IEEE Transactions on Automatic Control, 11, 190-197; 1971, An introduction to observer. IEEE Transactions on Automatic Control, 16, 596-602.
15. Luenberger, D.G., 1966, Observers for multivariable systems. IEEE Transactions on Automatic Control, 11, 190-197; 1971, An introduction to observer. IEEE Transactions on Automatic Control, 16, 596-602.
16. O'Reilly, J., 1983, Observer for Linear Systems (New York: Academic Press).
17. Petersen, I.R., and McFarlane, D.C., 1994, Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Transactions on Automatic Control, 39, 1971-1977.
18. 2 Optimal Control, Series in Systems and Control Engineering (London: Prentice-Hall).
19. Tsui, C.C., 1988, On robust observer compensator design. Automatica, 24, 687-692.
20. Unbehauen, H., 1989, Regelungstechnik II (Braunschweig: Vieweg).
21. 2/H∞-state estimation for discrete-time systems with error variance constraints. IEEE Transactions on Automatic Control, 42, 1431-1435.
22. Xia, X., and Zeitz, M., 1997, On nonlinear continuous observers. International Journal of Control, 66, 943-954.
23. Xie, L., and Soh, Y.C., 1994, Robust Kalman filtering for uncertain systems. Systems and Control Letters, 22, 123-129.
24. Xie, L., Soil, Y.C., and De Souza, C.E., 1994, Robust Kalman filtering for uncertain discrete-time systems, IEEE Transactions on Automatic Control, 39, 1310 1314.
25. Yaz, E., and Nanacara, W., 1993, Nonlinear estimation by covariance assignment. Preprints of the 12th IFAC World Congress, Sydney, Australia, 1993, Vol. 6, pp. 87-90.