Attitude Stabilization of a Satellite with Large Flexible Elements Using On-Board Actuators Only

Stepan Tkachev (), Alexey Shestoperov, Anna Okhitina and Anna Nuralieva
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Stepan Tkachev: Keldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, Russia
Alexey Shestoperov: Keldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, Russia
Anna Okhitina: Keldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, Russia
Anna Nuralieva: Keldysh Institute of Applied Mathematics of the RAS, Miusskaya Sq. 4, 125047 Moscow, Russia

Mathematics, 2023, vol. 11, issue 24, 1-24

Abstract: Attitude control of a satellite with three flexible elements is considered. Control torque is developed by a set of reaction wheels, which are installed on the central hub of the satellite. The flexible elements are large, so the control torque constraints must be taken into account. In the paper, a control algorithm based on a linear-quadratic regulator is studied. The asymptotic stability of this control is shown. The choice of the control parameters is based on the closed form solution of the corresponding algebraic Riccati equation, which is supplemented by the linear matrix inequality. To increase the convergence rate, particle swarm optimization is used to tune the control parameters.

Keywords: attitude control; large flexible element; linear quadratic control; asymptotic stability; particle swarm optimization; control parameter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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