Fault-Tolerant Estimation of Relative Motion of Satellites in Cluster

This chapter is devoted to the relative satellite state estimations that are detected and estimated by fault-tolerant Kalman filters via measurement of actual distance between 4 GPS satellites and target satellite. The novel approach is fault-tolerant relative satellite state estimations, which were designed according to two version. One of them is reconfiguration fault-tolerant cluster satellite localization and the other one is adaptively fault-tolerant cluster satellite localization. The Extended Kalman Filter (EKF) is used for target and follower satellites orbital state vector estimations and detection of GPS measurement errors. The reconfigurable version and the adaptive version of fault-tolerant localization architecture eliminate the GPS measurement errors while estimating relative satellites position and velocity vectors.