Kalman filtering with mixed discrete-continuous observations

International Journal of Control

Volumn 70, Issue 1, 1998, Pages 71-84

  De Nicolao, G ^a   Strada, S ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; DISCRETE TIME CONTROL SYSTEMS; MATRIX ALGEBRA; OBSERVABILITY; OPTIMAL CONTROL SYSTEMS; RICCATI EQUATIONS; SYSTEM STABILITY;

DETECTABILITY; MIXED DISCRETE CONTINUOUS OBSERVATIONS;

KALMAN FILTERING;

EID: 0032073498     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798222460     Document Type: Article

References (15)

1. Anderson, B. D. O., and Moore, J. B., 1981, Detectability and stabilizability of time-varying discrete-time linear systems. SIAM J. Control and Optimization, 19, (1), 20-32.
2. Bittanti, S., (editor), 1986, Deterministic and stochastic linear periodic systems. In: Time Series and Linear Systems (Berlin: Springer-Verlag).
3. Bittanti, S., Colaneri, P., and De Nicolao, G., 1988, The difference periodic Riccati equation for the periodic prediction problem. IEEE Trans. Automat. Contr., AC-33, 706-712; 1990, The periodic Riccati equation. In: The Riccati equation. Edited by A. J. Laub, J. C., Willems and S. Bittanti. (Berlin: Springer-Verlag) pp. 127-162.
4. Chan, S. W., Goodwin, G. C., and Sin, K. S., 1984, Convergence properties of the Riccati difference equation in optimal filtering of nonstabilizable systems. IEEE Trans. Automat. Control, AC-29, 110-118.
5. De Nicolao, G., 1994, Cyclomonotonicity, Riccati equations and periodic receding horizon control. Automatica, 30, (9), 1375-1388.
6. De Nicolao, G., and Strada, S., 1997, On the use of reachability gramians for the stabilization of linear periodic systems. Automatica, 33, 729-732.
7. De Souza, C. E., Gevers, M. R., and Goodwin, G. C., 1986, Riccati equations in optimal filtering of nonstabilizable systems having singular state transition matrix. IEEE Trans. Automat. Contr., AC-31, 831-838.
8. Friedland, B., 1980, Steady-state behaviour of Kalman filter with discrete-and continuoustime observations. IEEE Trans. Automat. Contr., AC-25, 988-922.
9. Geering, H. P., 1976, Continuous-time optimal control theory for cost functionals including discrete state penalty terms. IEEE Trans. Automat. Contr., AC-21, 866-869.
10. Lennartson, B., 1988, Periodic solutions of Riccati equations applied to multirate sampling Int. J. Contr., 48, 1025-1042.
11. LindgArde, O., and Lennartson, B., 1994, Mixed continuous-time and multirate sampled-data H∞ control. Proc. 33rd Conf. Decision and Control. pp. 712-713; 1995, Mixed continuous-time and multirate sampled-data H» control applied to a packedbad distillation column. Proc. 3rd Europ. Contr. Rome, Italy. pp. 601-606.
12. Lipster, R. S., 1975, Gaussian martingales and an extension of the Kalman-Bucy filter. Prob. Theory Appl., 20, 292-307.
13. Mook, D. J., and Lew, J. S., 1991, Multiple shooting algorithms for jump-discontinuous problems in optimal control and estimation. IEEE Trans. Automat. Contr., AC-36, 979-983.
14. Orlov, Y. V., 1989, Filtering of finite-dimensional and infinite-dimensional diffusion processes on the basis of discrete-continuous observations. Sov. Phys. Dokl. (English transl), 34, 194-196.
15. Orlov, Y. V., and Basin, M. V., 1995, On minmax filtering over discrete-continuous observations. IEEE Trans. Automat. Contr., AC-40, 1623-1626.