The modified iterated Kalman filter, which will be called MIKF for bre
vity, is derived from the modified Newton method to approximate a maxi
mum likelihood estimate. The MIKF is also obtained by an iteration sch
eme for tile extended kalman filter equations. A convergence analysis
of the MIKF is given. By the damping method, we can reduce the total C
PU time needed to estimate the state variables or may even obtain a co
nvergent scheme when the MIKF diverges. A numerical example shows the
effective convergence behavior of the damped MIKF.