Stochastic linear retarded systems: Robust vertex-dependent H∞ control via measurement-feedback

Author(s):  
Eli Gershon ◽  
Uri Shaked
2009 ◽  
Vol 34 (11) ◽  
pp. 1417-1423
Author(s):  
Hong-Xia WANG ◽  
Huan-Shui ZHANG

1994 ◽  
Vol 39 (9) ◽  
pp. 1936-1939 ◽  
Author(s):  
A.A. Stoorvogel ◽  
A. Saberi ◽  
B.M. Chen

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Xin Wang ◽  
Shu-Li Sun

For the linear discrete stochastic systems with multiple sensors and unknown noise statistics, an online estimators of the noise variances and cross-covariances are designed by using measurement feedback, full-rank decomposition, and weighted least squares theory. Further, a self-tuning weighted measurement fusion Kalman filter is presented. The Fadeeva formula is used to establish ARMA innovation model with unknown noise statistics. The sampling correlated function of the stationary and reversible ARMA innovation model is used to identify the noise statistics. It is proved that the presented self-tuning weighted measurement fusion Kalman filter converges to the optimal weighted measurement fusion Kalman filter, which means its asymptotic global optimality. The simulation result of radar-tracking system shows the effectiveness of the presented algorithm.


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