Method for control by orbital spacecraft magnetic cleanliness based on multiple magnetic dipole models with consideration of their uncertainty

B. Kuznetsov, T. Nikitina, I. Bovdui, K. Chunikhin, V. Kolomiets, B. Kobylianskyi
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Abstract

Aim. Development of method for control by orbital spacecraft magnetic cleanliness based on multiple magnetic dipole models using compensation of the initial magnetic field with consideration of magnetic characteristics uncertainty. Methodology. Orbital spacecraft multiple magnetic dipole models calculated as solution of nonlinear minimax optimization problem based on near field measurements for prediction orbital spacecraft far magnetic field magnitude. Nonlinear objective function calculated as the weighted sum of squared residuals between the measured and predicted magnetic field. Weight matrix calculated as inverse covariance matrix of random errors vector. Values of magnetic moments and coordinates of placement of compensating magnetic dipoles for compensation of the orbital spacecraft initial magnetic field also calculated as solution of nonlinear minimax optimization problem. Both solutions of this nonlinear minimax optimization problems calculated based on particle swarm nonlinear optimization algorithms. Results. Results of prediction spacecraft far magnetic field magnitude based on orbital spacecraft multiple magnetic dipole models using near field measurements and compensation of the initial magnetic field with consideration of orbital spacecraft magnetic characteristics uncertainty for ensuring the orbital spacecraft magnetic cleanliness. Originality. The method for control by orbital spacecraft magnetic cleanliness based on multiple magnetic dipole models using compensation of the initial magnetic field with consideration of magnetic characteristics uncertainty is developed. Practical value. An important practical problem of ensuring orbital spacecraft magnetic cleanliness based on orbital spacecraft multiple magnetic dipole models using near field measurements and compensation of the initial magnetic field with consideration of orbital spacecraft magnetic characteristics uncertainty solved.
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考虑多磁偶极子模型不确定性的轨道航天器磁洁净度控制方法
的目标。基于多磁偶极子模型的轨道航天器磁洁净度控制方法研究,考虑磁特性不确定性,采用初始磁场补偿。方法。轨道航天器多磁偶极子模型求解基于近场测量的非线性极大极小优化问题,用于轨道航天器远磁场量级预测。非线性目标函数计算为测量磁场和预测磁场之间残差的加权平方和。权重矩阵计算为随机误差向量的逆协方差矩阵。作为非线性极大极小优化问题的解,计算了轨道航天器初始磁场补偿的磁矩值和补偿磁偶极子的位置坐标。这两个非线性极大极小优化问题的解都是基于粒子群非线性优化算法计算的。结果。基于轨道航天器多磁偶极子模型的航天器远磁场震级预测结果,采用近场测量并考虑轨道航天器磁特性不确定性对初始磁场进行补偿,以保证轨道航天器磁洁净度。创意。提出了一种基于多磁偶极子模型的轨道航天器磁洁净度控制方法,并考虑了磁特性不确定性对初始磁场进行补偿。实用价值。基于近场测量的轨道航天器多磁偶极子模型和考虑轨道航天器磁特性不确定性的初始磁场补偿,解决了轨道航天器磁洁净度保证的重要实际问题。
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