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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2024 Volume 20, Issue 2, Pages 244–254 (Mi vspui622)

Control processes

Triaxial electrodynamic stabilization of a satellite via PID controller

A. Yu. Aleksandrov, S. B. Ruzin

St. Petersburg State University, 7–9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: A satellite moving on a circular equatorial orbit is considered. The satellite is equipped with a controlled magnetic moment and a controlled electrostatic charge. The problem of triaxial stabilization in the orbital frame is studied. The electrodynamic control system is proposed. In addition, to improve characteristics of transient processes, PID controller of a special form is used. With the aid of the Lyapunov direct method, asymptotic stability conditions of the program mode are obtained. The results of computer simulation are provided demonstrating the efficiency of the developed approach.

Keywords: satellite, electrodynamic control, triaxial stabilization, Lyapunov — Krasovskii functional, PID controller.

UDC: 531.36

MSC: 93C23

Received: January 29, 2024
Accepted: March 12, 2024

Language: English

DOI: 10.21638/spbu10.2024.209



© Steklov Math. Inst. of RAS, 2025