无人机坐标变换的确定

Sandhya Rani Chapala, Gangadhara Sai Pirati, U. R. Nelakuditi
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引用次数: 7

摘要

利用全球定位系统(GPS)可以实现无人机自主飞行过程中飞行器姿态的估计。但当飞行器飞行时,这种方法会产生误差,因此采用另一种方法,即方向余弦矩阵(DCM)。但在用DCM提取无人机姿态(欧拉角)时,会产生一个缺陷,即万向节锁,在数学上也称为奇点问题。这个问题是由于姿态角的一个偏差导致了自由度的丧失。为了避免这一问题,提出了用四元数表示物体方向的方法。四元数,由欧拉角的旋转序列产生,它可以用任意一个旋转序列实现欧拉角。本文研究了四元数在Matlab中的数学建模和实现。最后用四元数的欧拉角表示了每个方向的结果。即使物体处于运动状态,这种方法也更准确。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Determination of coordinate transformations in UAVS
Estimation of vehicle attitude during autonomous flying of Unmanned Aerial Vehicles (UAVs) can be performed with Global Positioning System (GPS). But when vehicle is flying this method results in error, hence another approach i.e., Direction Cosine Matrix (DCM) is used. But while extracting attitude (Euler Angles) of UAVs with DCM creates a drawback known as Gimbal lock which is also known as singularity problem in mathematics. This problem is due to deviation in one of the angles of attitude and leads to loss of degree of freedom. To avoid this problem the proposed technique is quaternion which represents orientation of a body. Quaternion, which is produced from rotation sequence of Euler angles and it implements Euler angles with any one of rotation sequences. This paper deals with the mathematical modelling and implementation of the quaternion in Matlab. Finally results are represented for each orientation in terms of Euler angles due to quaternion. This method is more accurate even body is under motion.
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