论文信息 - Estimation in linear discrete systems with multiple time delays

Estimation in linear discrete systems with multiple time delays

The method of orthogonal projection is used to derive the equations for optimally estimating the state of a nonstationary linear discrete system with multiple time delays. A Kalman-type filter is developed, along with the necessary recursive error and cross error covariance matrix equations. A numerical example is included.

R. Priemer | A. Vacroux

[1] R. E. Kalman,et al. A New Approach to Linear Filtering and Prediction Problems , 2002 .

[2] A. E. Bryson,et al. Estimation using sampled data containing sequentially correlated noise. , 1967 .

[3] A. Stubberud,et al. A technique for estimating the state of a nonlinear system , 1965 .

[4] H. Kwakernaak,et al. Optimal filtering in linear systems with time delays , 1967, IEEE Transactions on Automatic Control.

[5] T. Nishimura. Error bounds of continuous Kalman filters and the application to orbit determination problems , 1967, IEEE Transactions on Automatic Control.

[6] R. E. Kalman,et al. New Results in Linear Filtering and Prediction Theory , 1961 .