Robust filtering, prediction, smoothing, and observability of uncertain systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 4, 1998, Pages 446-457

  Reza Moheimani, S O ^a   Savkin, Andrey V ^a   Petersen, Lan R ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Integral quadratic constraint; Robust filtering; Robust observability

Indexed keywords

CONSTRAINT THEORY; INTEGRAL EQUATIONS; OBSERVABILITY; RICCATI EQUATIONS; ROBUSTNESS (CONTROL SYSTEMS);

INTEGRAL QUADRATIC CONSTRAINTS;

SIGNAL FILTERING AND PREDICTION;

EID: 0032047899     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.669068     Document Type: Article

References (23)

1. R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Kaiman Filtering. New York: Wiley, 1992, vol. 2.
2. Y. Theodor, U. Shaked, and C. E. de Souza, "A game theory approach to robust discrete-time Ho estimation, IEEE Trans. Signal Processing, pp. 1486-1495, 1994.
3. B. N. Jain, "Guaranteed error estimation in uncertain systems," IEEE Trans. Automat. Contr., vol. AC-20, pp. 230-232, 1975.
4. ∞ estimation for discrete-time linear uncertain systems," Int. J. Robust and Nonlinear Contr., vol. 1, no. 2, pp. 111-123, 1991.
5. ∞ filtering for linear periodic systems with parameter uncertainty," Syst. Contr. Lett., vol. 17, pp. 343-350, 1991.
6. I. R. Petersen and D. C. McFarlane, "Optimal guaranteed cost control and filtering for uncertain linear systems," IEEE Trans. Automat. Contr., vol. 39, pp 1971-1977, 1994.
7. C. E. de Souza, U. Shaked, and M. Fu, "Robust H filtering for continuous time varying uncertain systems with deterministic input signals," IEEE Trans. Signal Processing, vol. 43, pp. 709-719, 1995.
8. M. Fu, C. E. de Souza, and L. Xie, "H°° estimation for uncertain systems,"/J. J. Robust and Nonlinear Contr., vol. 2, pp. 87-105, 1992.
9. A. V. Savkin and I. R. Petersen, "Recursive state estimation for uncertain systems with an integral quadratic constraint," IEEE Trans. Automat. Contr., vol. 40, pp. 1080-1083, 1995.
10. ∞ setting," IEEE Trans. Automat. Contr., vol. AC-36, pp. 152-166, 1991.
11. 2 estimation and control," Ph.D. dissertation, Tel-Aviv Univ., 1994.
12. T. Basar and P. Bernhard, "H-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Boston, MA: Birkhäuser, 1991.
13. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ: Prentice-Hall, 1996.
14. I. R. Petersen and D. C. McFarlane, "Robust state estimation for uncertain systems," in Proc. 30th Conf. Decision and Control, Brighton, U.K., 1991.
15. _, "Optimal guaranteed cost filtering for uncertain discrete time systems," to. J. Robust and Nonlinear Contr., vol. 6, no. 4, pp. 267-280, 1996.
16. D. P. Bertsakas and I. B. Rhodes, "Recursive state estimation for a set-membership description of uncertainty," IEEE Trans. Automat. Contr., vol. AC-16, pp. 117-128, 1971.
17. A. V. Savkin and I. R. Petersen, "A new approach to model validation and fault diagnosis," in Proc. 3rd Eur. Control Conf., Rome, Italy, 1995, pp. 1418-1422.
18. I. R. Petersen and D. W. J. Pulle, "Robust Kaiman filtering in direct torque control," in 7th Eur. Conf. Power Electronics and Applications, 1997.
19. A. V. Savkin and I. R. Petersen, "Model validation for robust control of uncertain systems with an integral quadratic constraint," Automatica, vol. 32, no. 4, pp. 603-606, 1996.
20. D. J. Clements and B. D. O. Anderson, Singular Optimal Control: The Linear Quadratic Problem. Berlin, Germany: Springer-Verlag, 1978.
21. F. L. Lewis, Optimal Control. New York: Wiley, 1986.
22. M. Green and D. J. N. Limebeer, Linear Robust Control. Englewood Cliffs, NJ: Prentice-Hall, 1994.
23. F. L. Lewis, Optimal Estimation. New York: Wiley, 1986.