Modeling Hubble Space Telescope flight data by Q-Markov cover identification

Statistics – Computation

Scientific paper

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Attitude Control, Control Systems Design, Hubble Space Telescope, Markov Processes, Mathematical Models, Algorithms, Bandwidth, Covariance, Low Frequencies

Scientific paper

This paper presents a state-space model for the Hubble Space Telescope under the influence of unknown disturbances in orbit. This model was obtained from flight data by applying the Q-Markov Covariance Equivalent Realization (Q-Markov Cover) identification algorithm. This state-space model guarantees the match of the first Q-Markov parameters and covariance parameters of the Hubble system. The flight data were partitioned into high- and low-frequency components for more efficient Q-Markov Cover modeling to reduce some computational difficulties of the Q-Markov Cover algorithm. This identification revealed more than 20 lightly damped modes within the bandwidth of the attitude control system. Comparisons with the analytical (TREETOPS) model are also included.

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