Finite-Time Linear Filtering and Control of A Communication Satellite Driven by White Noise Sequence

This study models the dynamics of a communication satellite driven by a white noise sequence and proposes a finite-time filtering solution in which state estimation was addressed. The dynamics of the satellite assumed linear and reducible to an equivalent interconnection of subsystems enhanced computation of the filter gain matrix from the recursive relation. The significant practical benefits of using the stationary form of the Kalman filter in the computation were established.