Finite escapes and convergence properties of guaranteed-cost robust filters

Automatica

Volumn 33, Issue 1, 1997, Pages 31-47

  Bolzern, Paolo ^a   Colaneri, P ^a   De Nicolao, G ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

Filtering; Guaranteed cost estimators; Riccati equations; Robustness; Time varying systems

Indexed keywords

BANDPASS FILTERS; CONVERGENCE OF NUMERICAL METHODS; DESIGN; OPTIMIZATION; PARAMETER ESTIMATION; PERFORMANCE; STABILITY; TIME VARYING CONTROL SYSTEMS;

ROBUST FILTERS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0030784283     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(96)00138-0     Document Type: Article

References (25)

1. Bernstein, D. S. and W. M. Haddad (1989). Steady-state Kalman filtering with an H∞ error bound. Syst. Control Lett., 12, 9-16.
2. Bittanti, S. and P. Colaneri (1986). Lyapunov and Riccati equations: periodic inertia theorems. IEEE Trans. Autom. Control, AC-31, 659-661.
3. Bolzern, P., P. Colaneri and G. De Nicolao (1993). Optimal robust filtering for linear systems subject to time-varying parameter perturbations. In Proc. 32nd IEEE Conf. on Decision and Control, San Antonio, TX pp. 1018-1023.
4. Bolzern, P., P. Colaneri and G. De Nicolao (1994a). On the computation of upper covariance bounds for perturbed linear systems. IEEE Trans. Autom. Control, AC-39, 623-626.
5. Bolzern, P., P. Colaneri and G. De Nicolao (1994b). Time-varying filtering of perturbed linear systems. In Proc. 33rd IEEE Conf. on Decision and Control, Lake Buena Vista, FL, pp. 1230-1231.
6. Bolzern, P., P. Colaneri and G. De Nicolao (1994c). Optimal robust state estimation for uncertain linear systems. In Proc. IFAC Symp. on Robust Control Design, Rio de Janeiro, pp. 152-157.
7. Bolzern, P., P. Colaneri and G. De Nicolao (1996a). Optimal robust filtering with time-varying parameter uncertainty. Int. J. Control, 63, 557-576.
8. ∞-differential Riccati equation. In Proc. IFAC World Congress, San Francisco, CA, Vol. G, pp. 161-166.
9. Crouch, P. E. and M. Pavon (1987). On the existence of solutions of the Riccati differntial equation. Syst. Control Lett., 9, 203-206.
10. De Nicolao, G. and M. Gevers (1992). Difference and differential Riccati equations: a note on the convergence to the strong solution. IEEE Trans. on Autom. Control, AC-37, 1055-1057.
11. ∞ control problems. IEEE Trans. Autom. Control, AC-34, 831-847.
12. ∞ estimation for uncertain systems. Int. J. Robust Nonlin. Control, 1, 111-123.
13. Martin, C. J. and M. Mintz (1983). Robust filtering and prediction for linear systems with uncertain dynamics: a game-theoretic approach. IEEE Trans. Autom. Control, AC-28, 888-896.
14. ∞ setting. IEEE Trans. Autom. Control, AC-36, 152-166.
15. Petersen, I. R. and D. C. McFarlane (1991). Robust state estimation for uncertain systems. In Proc. 30th IEEE Conf. on Decision and Control, Brighton, U.K., pp. 2630-2631.
16. Petersen, I. R. and D. C. McFarlane (1994). Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Trans. Autom. Control, AC-39, 1971-1977.
17. Sasagawa, T. (1982). On the finite escape phenomena for matrix Riccati equations. IEEE Trans. Autom. Control, AC-27, 977-979.
18. 2 filtering. In Proc. IFAC Symp. on Robust Control Design, Rio de Janeiro, pp. 335-340.
19. Shaked, U. and C. E. de Souza (1995). Robust minimum variance filtering. IEEE Trans. Sig. Process., SP-43, 2474-2483.
20. Shaked, U. and Y. Theodor (1992). H∞ optimal estimation: a tutorial. In Proc. 31st IEEE Conf. on Decision and Control, Tucson, AZ, pp. 2278-2286.
21. Shayman, M. A. (1986). Phase portrait of the matrix Riccati equation. SIAM J. Control Optim., 24, 1-65.
22. Sternad, M. and A. Ahlen (1993). Robust filtering and feedforward control based on probabilistic descriptions of model errors. Automatica, 29, 661-679.
23. Xie, L. and Y. C. Soh (1994). Robust Kalman filtering for uncertain systems. Syst. Control Lett., 22, 123-129.
24. Xie, L., Y. C. Soh and C. E. de Souza (1994). Robust Kalman filtering for uncertain discrete-time systems. IEEE Trans. Autom. Control, AC-39, 1310-1314.
25. Xu, J. H., R. E. Skelton and G. Zhu (1990). Upper and lower covariance bounds for perturbed linear systems. IEEE Trans. Autom. Control, AC-35, 944-948.