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The performance of the conventional Kalman filter depends on process and measurement noise statistics given by the system model and measurements.The conventional Kalman filter is usually used for a linear system,but it should not be used for estimating the state of a nonlinear system such as a satellite motion because it is difficult to obtain the desired estimation results.The linearized Kalman filtering approach and the extended Kalman filtering approach have been proposed for a general nonlinear system.The equations of satellite motion are described.The satellite motion states are estimated,and the relevant estimation errors are calculated through the estimation algorithms of the both above mentioned approaches implemented in Matlab are estimated.The performances of the extended Kalman filter and the linearized Kalman filter are compared.The simulation results show that the extended Kalman filter is much better than the linearized Kalman filter at the aspect of estimation effect.
The performance of the conventional Kalman filter depends on process and measurement of noise statistics given by the system model and measurements. Conventional Kalman filter is usually used for a linear system, but it should not be used for estimating the state of a nonlinear system such as a satellite motion because it is difficult to obtain the desired estimation results. The linearized Kalman filtering approach and the extended Kalman filtering approach have been proposed for a general nonlinear system. The equations of satellite motion are described. satellite motion states are estimated, and the relevant estimation errors are calculated through the estimation algorithms of the both above mentioned approaches implemented in Matlab are estimated. The performances of the extended Kalman filter and the linearized Kalman filter are quite. The simulation results show that the extended Kalman filter is much better than the linearized Kalman filter at the aspect of estimation effect.