The problem of navigation systems with uncertain noise is considered. A min
imax robust filtering which can minimize the worst performance under noise
uncertainties using the game theory is proposed. This new filter is applied
to an integrated GPS/INS navigation system. A high dynamics aircraft traje
ctory is designed to test the new filter. The results show that minimax rob
ust filtering performs better than standard Kalman filtering when noise par
ameters of an inertial measurement unit change their statistical properties
.