Attitude control of flexible satellite via three-dimensional magnetically suspended wheel

doi:10.1007/s10483-025-3232-7

Abstract

Abstract:

This paper proposes an attitude control strategy for a flexible satellite equipped with an orthogonal cluster of three-dimensional (3D) magnetically suspended wheels (MSWs). The mathematical model for the satellite incorporating flexible appendages and an orthogonal cluster of magnetically suspended reaction wheel actuators is initially developed. After that, an adaptive attitude controller is designed with a switching surface of variable structure, an adaptive law for estimating inertia matrix uncertainty, and a fuzzy disturbance observer for estimating disturbance torques. Additionally, a Moore-Penrose-based steering law is proposed to derive the tilt angle commands of the orthogonal configuration of the 3D MSW to follow the designed control signal. Finally, numerical simulations are presented to validate the effectiveness of the proposed control strategy.

Key words: flexible satellite, three-dimensional (3D) magnetically suspended wheel (MSW), attitude control, adaptive control, disturbance observer

2010 MSC Number:

V412.4

J. TAYEBI, Yingjie CHEN, Ti CHEN, Shiyuan JIA. Attitude control of flexible satellite via three-dimensional magnetically suspended wheel. Applied Mathematics and Mechanics (English Edition), 2025, 46(3): 555-572.

TrendMD

Figures/Tables 15

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Table 1

Simulation parameters of the system"

Parameter	Value	Unit
$I t$	$(35034327010410190)$	$kg ⋅ m 2$
$α max, β max$	0.052	rad
$Ω max$	5 000	r/min
$Ω ˙ max$	2.166	rad/s²
$Ω 0$	4 500	rad
$I r$	0.097 7	$kg ⋅ m 2$
$α 0, β 0, Ω 0$	(0 0 0)	rad
$ϕ 0, θ 0, ψ 0$	(0 0 0)	rad
$K$	1.2
$K 1$	50
$K 2$	0.01
Disturbance torque	$d = (∥ ω Ib b ∥ 2 + 0.5) (sin (0.8 t) + ν 1 cos (0.5 t) + ν 2 cos (0.3 t) + ν 3) T$	$N ⋅ m$

Table 1

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Fig. 14

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