A technique for estimating the state of a nonlinear system
- 1 April 1965
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 10 (2) , 150-155
- https://doi.org/10.1109/tac.1965.1098114
Abstract
A technique for the estimation of the state of a general class of nonlinear systems is discussed. The technique involves linear optimal estimation of the state of a linear approximation to the nonlinear system. The linear approximation to the nonlinear system is derived solely from the nonlinear differential equations and the noise-corrupted observations of some of the components of the state vector of the nonlinear system. An example of optimal estimation of the current position and velocity of a low earth-orbit satellite, using range, elevation and azimuth observations from a ground tracking station, is discussed. Numerical results from a digital simulation of the example are presented.Keywords
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