Control law synthesis for the plane angular motion of a small-sized spacecraft using the direct Lyapunov method

Authors: Kolesnikova V.E.
Published in issue: #2(97)/2025
DOI:
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
Keywords: small-sized spacecraft, planar angular motion, terminal control, control law, direct Lyapunov method, Lyapunov candidate function
Published: 09.04.2025

The paper considers solution to the problem of a small-sized spacecraft reorientation in the case of planar motion. To solve the terminal control problem, a control law is obtained analytically using the direct Lyapunov method. The paper analyzes the algorithm performance for such the disturbance factors as the disturbing moment, inaccuracy in specifying the initial motion conditions, failure to take into account aerodynamic restoring and gravitational moments in the control law, and the noise in measurement. Control is implemented taking into account limitation on the maximum control moment. The algorithm performance is studied for various coefficient values. Work results could be applied to control the planar angular motion of a small-sized spacecraft. The work significance lies in the obtained control law, which guarantees asymptotic stability in the required motion and ensures the required accuracy of the small-sized spacecraft orientation and stabilization.

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