Discrete-time singular observers: H2/H∞ optimality and unknown inputs

International Journal of Control

Volumn 72, Issue 6, 1999, Pages 481-492

  Takahashi, Ricardo H C ^a   Palhares, Reinaldo M ^b   Peres, Pedro L D ^c  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b Electrical Engineering   (Brazil)

^c UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION; OBSERVABILITY; OPTIMAL CONTROL SYSTEMS; VECTORS;

LINEAR QUADRATIC OPTIMAL OBSERVER; UNKNOWN INPUT OBSERVER;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0033300525     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071799220911     Document Type: Article

References (12)

1. Chevrel, P., and Bourles H., 1993, Reduced order H2 and Hoo observers singular measurement noise case. Proceedings of the 32nd IEEE Conference on Decision and Control. San Antonio, Texas, USA, pp. 2915-2916.
2. de Souza, C. E., and Xie, L., 1992, On the discrete-time bounded real lemma with application in the characterization of static state feedback Hoo controllers. Systems & Control Letters, 18, 61-71.
3. Hayar, M., Zasadzinski, M., and Darouach, M., 1996, Robust Kalman filtering for uncertain systems subject to unknown inputs: the discrete-time case. Proceedings of the 13th IFAC World Congress. San Francisco, California, USA, pp. 55-58.
4. Hsu, C. S., and Yu, X., 1996, Reduced order ?4o filters with singular measurements. Proceedings of the 13th IFAC World Congress. San Francisco, California, USA, pp. 65-70.
5. Kudva, P., Viswanadham, N., and Ramakrishna, A., 1980, Observers for linear systems with unknown inputs. IEEE Transactions on Automatic Control. 25, 113-115.
6. Palhares, R. M., and Peres, P. L. D., 1998, Optimal filtering schemes for linear discrete-time systems-an LMI approach. International Journal of Systems Science, 29, 587-593.
7. Petersen, I. R., and McFarlane, D. C., 1994, Optimal guaranteed cost filtering for uncertain discrete-time linear systems. Proceedings of the 1st IFAC Symposium on Robust Control Design, Rio de Janeiro, Brazil, pp. 329-334.
8. Schumacher, J. M., 1985, A geometric approach to the singular filtering problem. IEEE Transactions on Automatic Control, 30, 1075-1082.
9. Takaba, K., and Katayama, T, 1996, Discrete-time algebraic Riccati equation and parametrization of all Hoo filters. International Journal of Control, 64, 1129-1149.
10. Takahashi, R. H. C., and Peres, P. L. D., 1996, Unknown input observers for uncertain systems: a unifying approach and enhancements. Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 1483-1488.
11. Takahashi, R. H. C., Palhares, R. M., and Peres, P. L. D., 1997, Noise patterns in observed systems: from optimal filtering to singular observers. Proceedings of the 2nd IFAC Symposium on Robust Control Design, Budapest, Hungary, pp. 477-482.
12. Wang, S. H., Davison, E. J., and Dorato, P., 1975, Observing the states of systems with unmeasurable disturbances. IEEE Transactions on Automatic Control, 20, 716-717