时变通信约束下航天器绕飞的高阶全驱预测控制方法

doi:10.7527/S1000-6893.2023.28633

Abstract

Abstract:

A High-Order Fully Actuated （HOFA） predictive control approach is proposed for the problem of spacecraft flying-around under time-variant communication constraints in a sight coordinate system， including both time-variant communication delays and time-variant packets dropouts in the communication channels between the servicing spacecraft and the tracking and data relay satellite system. In the sight coordinate system， a nonlinear HOFA system model is introduced to describe the relative dynamics of spacecraft flying-around， such that the proposed flying-around task can be considered as a tracking control problem of nonlinear HOFA system. In this approach， the nonlinearities can be eliminated to construct a linear HOFA system because of full actuation characteristic， and then a Linear Incremental HOFA （LIHOFA） prediction model is constructed by applying a Diophantine Equation to replace a reduced-order prediction model， such that multi-step ahead predictions are developed to achieve the optimization of tracking control performance and the compensation of time-variant communication constraints， which guarantees the realization of this flying-around mission. A necessary and sufficient condition is given to analyze the stability and tracking performance of closed-loop system. Further， two simulated examples of spacecraft flying-around in circular and elliptical orbits are provided to verify the feasibility of HOFA predictive control approach.

Key words: spacecraft flying-around, nonlinear high-order fully actuated system, time-variant communication constraint, HOFA predictive control, stability and tracking performance

CLC Number:

V249.12

Dawei ZHANG, Guoping LIU. A high⁃order fully actuated predictive control approach of spacecraft flying⁃around under time⁃variant communication constraints[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(1): 628633-628633.

Figures/Tables 9

Table 1

Symbols description

符号	实际意义
$⋅$	欧几里得范数
$ϖ ̂ (k + μ \| k - ν)$	$ϖ (k)$ 在 $k - ν$ 时刻的第 $μ$ 步超前预测
$N x$	系统状态的预测时域
$N v$	系统输入的预测时域
$q$	时间算子，满足 $ϖ (k + u) = q μ ϖ (k)$
$Δ$	差分算子，满足 $Δ = 1 - q - 1$

Table 1

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A high⁃order fully actuated predictive control approach of spacecraft flying⁃around under time⁃variant communication constraints

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