Abstract—The paper presents a design methodology for the automatic control system of a satellite with magnetic actuators taking into account the time periodic variation of the Earth’s magnetic field. The design method is based on using an optimal 2 H controller with periodic coefficients. These coefficients depend on the solution of a specific system of coupled Riccati type equations. An iterative numerical algorithm to solve such system is also presented. The proposed design procedure is illustrated by a case study for a CubSat in which the benefits of using a a time-periodic controller are emphasized.
Index Terms—H optimal control, satellite stabilization, system of coupled Riccati equations, time periodic control law.
A.-M. Stoica is with the University “Politehnica” of Bucharest, Faculty of Aerospace Engineering, Str. Polizu, No. 1, Ro-011061, Bucharest, Romania (e-mail: adrian.stoica@upb.ro).
V. Dragan is with the Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Bucharest, Romania (e-mail: vasile.dragan@imar.ro).
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Cite: Adrian-Mihail Stoica and Vasile Dragan, "A Time-Periodic Control Law for Satellite Magnetic Stabilization," International Journal of Modeling and Optimization vol. 7, no. 3, pp. 168-172, 2017.
