Decoupled Wiener state fuser for descriptor systems
Tóm tắt
By the modem time series analysis method, based on the autoregressive moving average (ARMA) innovation models and white noise estimation theory, using the optimal fusion rule weighted by diagonal matrices, a distributed descriptor Wiener state fuser is presented by weighting the local Wiener state estimators for the linear discrete stochastic descriptor systems with multisensor. It realizes a decoupled fusion estimation for state components. In order to compute the optimal weights, the formulas of computing the cross-covariances among local estimation errors are presented based on cross-covariances among the local innovation processes, input white noise, and measurement white noises. It can handle the fused filtering, smoothing, and prediction problems in a unified framework. Its accuracy is higher than that of each local estimator. A Monte Carlo simulation example shows its effectiveness and correctness.
Tài liệu tham khảo
R. Nikoukhah, S. L. Campbell, F. Delebecque. Kalman filtering for general discrete-time linear systems[J]. IEEE Transactions on Automatic Control, 1999, 44(10): 1829–1839.
M. Darouach, M. Zasadzinski, A. B. Onana, S. Nowakowski. Kalman filtering with unknown inputs via optimal state estimation of singular systems[J]. International Journal of Systems Science, 1995, 26(10): 2015–2028.
H. Zhang, L. Tie, Y. C. Soh. Optimal recursive filtering, prediction and smoothing for singular stochastic discrete-time systems[J]. IEEE Transactions on Automatic Control, 1999, 44(12): 2154–2158.
Z. Deng, Y. Liu. Descriptor Kalman estimators[J]. International Journal of Systems Science, 1999, 30(11): 1205–1212.
Z. Deng, Y. Xu. Descriptor Wiener state estimators[J]. Automatica, 2000, 36(12): 1761–1766.
Z. Deng, Y. Gao, Y. Li, G. Hao. New approach to information fusion steady-state Kalman filtering[J]. Automatica, 2005, 41(10): 1695–1707.
Y. Gao, G. Tao, Z. Deng. Decoupled distributed Kalman fuser for descriptor systems[J]. Signal Processing, 2008, 88(5): 1261–1270.
Z. Deng, Y. Gao, G. Tao. Reduced-order steady-state descriptor Kalman fuser weighted by block-diagonal matrices[J]. Information Fusion, 2008, 9(1): 300–309.
M. Gevers, W. Wouters. An innovations approach to the discrete-time stochastic realization problem[J]. Quarterly Journal on Automatica, 1998, 19(2): 90–110.
K. J. Astrom. Mathematical control theory[M]// W. A. Coppel, Ed. Stochastic Control Theory. New York: Springer, 1978: 1–67.