Unbiased minimum-variance state estimation for linear systems with unknown input

Y Cheng, H Ye, Y Wang, D Zhou - Automatica, 2009 - Elsevier
Y Cheng, H Ye, Y Wang, D Zhou
Automatica, 2009Elsevier
The problem of state estimation for a linear system with unknown input, which affects both
the system and the output, is discussed in this paper. A recursive optimal filter with global
optimality in the sense of unbiased minimum variance over all linear unbiased estimators, is
provided. The necessary and sufficient condition for the convergence and stability is also
given, which is milder than existing approaches.
The problem of state estimation for a linear system with unknown input, which affects both the system and the output, is discussed in this paper. A recursive optimal filter with global optimality in the sense of unbiased minimum variance over all linear unbiased estimators, is provided. The necessary and sufficient condition for the convergence and stability is also given, which is milder than existing approaches.
Elsevier
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