Variance-constrained multiobjective filtering for uncertain continuous-time stochastic systems

International Journal of Systems Science

Volumn 31, Issue 9, 2000, Pages 1175-1183

  Wang, Zidong ^a   Shu, Huisheng ^b  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^b DONGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC CONTROL SYSTEMS;

NOISE STATISTICS;

UNCERTAIN SYSTEMS;

EID: 0034286619     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/002077200418432     Document Type: Article

References (35)

1. Anderson, B.D.O., and Moore, J.B., 1979, Optimal Filtering (Englewood Cliffs, New Jersey: Prentice-Hall).
2. 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, Vol. C, San Francisco, California, USA, 1996, pp. 85-90.
3. ∞ error bound. Systems and Control Letters, 12, 9-16.
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; 1997 a, Finite escapes and convergence properties of guaranteed-cost robust filters. Automatica, 33, 31-47; 1997b, Guaranteed-cost prediction of discrete-time systems: the finite- and infinite-horizon case. Preparation of the Second IFAC Symposium on Robust Control Design, Budapest, Hungary, 1997, pp. 471-476.
5. Bolzern, P., Colaneri, P., and De Nicolao, G., 1996, Optimal robust filtering with time-varying parameter uncertainty. International Journal of Control, 63, 557-576; 1997 a, Finite escapes and convergence properties of guaranteed-cost robust filters. Automatica, 33, 31-47; 1997b, Guaranteed-cost prediction of discrete-time systems: the finite- and infinite-horizon case. Preparation of the Second IFAC Symposium on Robust Control Design, Budapest, Hungary, 1997, pp. 471-476.
6. Bolzern, P., Colaneri, P., and De Nicolao, G., 1996, Optimal robust filtering with time-varying parameter uncertainty. International Journal of Control, 63, 557-576; 1997 a, Finite escapes and convergence properties of guaranteed-cost robust filters. Automatica, 33, 31-47; 1997b, Guaranteed-cost prediction of discrete-time systems: the finite- and infinite-horizon case. Preparation of the Second IFAC Symposium on Robust Control Design, Budapest, Hungary, 1997, pp. 471-476.
7. ∞ design with pole placement constraints: an LMI approach. IEEE Transactions on Automatic Control, 41, 358-367.
8. ∞ Viewpoint (New York: Academic Press).
9. ∞ filtering for continuous time varying uncertain systems with deterministic input signal. IEEE Transactions on Signal Processing, 43, 709-719.
10. ∞ estimation for uncertain systems. International Journal of Robust and Nonlinear Control, 2, 87-105.
11. Garcia, G., and Bernussou, J., 1995, Pole assignment for uncertain systems in a specified disk by state feedback. IEEE Transactions on Automatic Control, 40, 184-190.
12. 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 World Congress, Vol. 6, Sydney, Australia, 1993, pp. 35-38.
13. Goh, K.C., Safonov, M.G., and Papavassilopoulos, G.P., 1994, A global optimization approach for the BMI problem. Proceedings of the 33rd IEEE Conference on Decision and Control, Orlando, Florida, USA, 1994 (New York: IEEE), pp. 2009-2014.
14. Li, L., Xie, L., Yan, W.-Y., and Soh, Y.C., 1999, Design of low-order linear-phase IIR filters via orthogonal projection. IEEE Transactions on Signal Processing, 47, 434-448.
15. Nanacara, W., and Yaz, E., 1994, Linear and nonlinear estimation with uncertain observations. Proceedings of the 1994 American Control Conference, Baltimore, Maryland, USA, 1994, pp. 1429-1433.
16. Petersen, I.R., and McFarlane, D.C., 1991, Robust state estimation for uncertain systems. Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK 1091 (New York: IEEE), pp. 2630-2631; 1994, Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Transactions on Automatic Control, 39, 1971-1977; 1996, Optimal guaranteed cost filtering for uncertain discrete time linear systems, International Journal of Robust Nonlinear Control, 6, 267-280.
17. Petersen, I.R., and McFarlane, D.C., 1991, Robust state estimation for uncertain systems. Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK 1091 (New York: IEEE), pp. 2630-2631; 1994, Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Transactions on Automatic Control, 39, 1971-1977; 1996, Optimal guaranteed cost filtering for uncertain discrete time linear systems, International Journal of Robust Nonlinear Control, 6, 267-280.
18. Petersen, I.R., and McFarlane, D.C., 1991, Robust state estimation for uncertain systems. Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK 1091 (New York: IEEE), pp. 2630-2631; 1994, Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Transactions on Automatic Control, 39, 1971-1977; 1996, Optimal guaranteed cost filtering for uncertain discrete time linear systems, International Journal of Robust Nonlinear Control, 6, 267-280.
19. Reza Moheimani, S.O., and Petersen, I.R., 1996, Quadratic guaranteed cost control with robust pole placement in a disk. Proceedings of the Institution of Electrical Engineers, Pt D, 37-43.
20. 2 Optimal Control. Series in Systems and Control Engineering (London: Prentice-Hall).
21. Scherer, C., Gahinet, P., and Chilali, M., 1997, Multiobjective output-feedback control via LMI Optimization. IEEE Transactions on Automatic Control, 42, 896-911.
22. Shaked, U., and De Souza, C.E., 1995, Robust minimum variance filtering. IEEE Transactions on Signal Processing, 43, 2474-2483.
23. ∞ optimal estimation: a tutorial. Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, Arizona, USA, 1992 (New York: IEEE), pp. 2278-2286.
24. Skelton, R.E., and Iwasaki, T., 1993, Liapunov and covariance controllers. International Journal of Control, 57, 519-536.
25. Stengel, R.F., 1986, Stochastic Optimal Control: Theory and Application (New York: Wiley).
26. ∞ -state estimation for systems with error variance constraints: the continuous-time case. IEEE Transactions on Automatic Control 44, 1061-1065.
27. ∞ -state estimation for systems with error variance constraints: the continuous-time case. IEEE Transactions on Automatic Control 44, 1061-1065.
28. Wang, Z., Tang, G., and Chen, X., 1996, Robust controller design for uncertain linear systems with circular pole constraints. International Journal of Control, 65, 1045-1054.
29. Willems, J.C., 1971, Least squares stationary optimal control and the algebraic Riccati equation. IEEE Transactions on Automatic Control 16, 621-634.
30. Xie, L., and Soh, Y.C., 1994, Robust Kalman filtering for uncertain systems. Systems and Control Letters, 22, 123-129.
31. Xie, L., Soh, Y.C., and De souza, C.E., 1994, Robust Kalman filtering for uncertain discrete-time systems. IEEE Transactions on Automatic Control, 39, 1310-1314.
32. Yaz, E., Azemi, A., and Skelton, R.E., 1992, Design of covariance controllers and estimators with prescribed pole locations. Proceedings of the 31st IEEE Conference on Decision and Control, Tuscon, Arizona, USA, 1992 (New York: IEEE), pp. 1966-1967.
33. Yaz, E., and Nanacara, W., 1993, Nonlinear estimation by covariance assignment. Preprints of the 12th IFAC World Congress, Vol. 6, Sydney, Australia, 1993, pp. 87-90.
34. Yaz, E., and Skelton, R.E., 1991, Continuous and discrete state estimation with error covariance assigmnent. Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK, 1991 (New York: IEEE), pp. 3091-3092.
35. Yaz, E., Skelton, R.E., and Grigoriadis, E., 1993, Robust regional pole assignment with output feedback. Proceedings of the 32nd IEEE Conference on Decision and Control, San Antonio, Texas, 1993 (New York: IEEE), pp. 3009-3013.