DocumentCode :
789304
Title :
A technique for estimating the state of a nonlinear system
Author :
Ohap, R.F. ; Stubberud, A.R.
Author_Institution :
Hughes Aircraft Co., Culver City, CA, USA
Volume :
10
Issue :
2
fYear :
1965
fDate :
4/1/1965 12:00:00 AM
Firstpage :
150
Lastpage :
155
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 :
Nonlinear systems; Satellite control; State estimation; Differential equations; Digital simulation; Filtering theory; Kalman filters; Linear approximation; Nonlinear equations; Nonlinear filters; Nonlinear systems; State estimation; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1965.1098114
Filename :
1098114
Link To Document :
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