An Attitude Calculating Algorithm Based on Rotation Quaternion
Ton Wang
Abstract
Ton Wang
Abstract
In order to suppress non-commutable error which can't be decreased by traditional attitude calculation algorithms,a rotation quaternion differential equation which can be used in small angular motion of big vehicle was derived by means of rotation vector.Comparison between rotation quatemion algorithm and additive quaternion error algorithm was performed on attitude error calculated by each.The results prove that under low dynamic condition,the rotation quaternion algorithm can not only suppress the non-commutable error effectively,but also perform well under big misalignment angles,moreover,the approach has some important features such as less computation complexity,easier implementation and high precision.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In order to suppress non-commutable error which can't be decreased by traditional attitude calculation algorithms,a rotation quaternion differential equation which can be used in small angular motion of big vehicle was derived by means of rotation vector.Comparison between rotation quatemion algorithm and additive quaternion error algorithm was performed on attitude error calculated by each.The results prove that under low dynamic condition,the rotation quaternion algorithm can not only suppress the non-commutable error effectively,but also perform well under big misalignment angles,moreover,the approach has some important features such as less computation complexity,easier implementation and high precision.
Key concepts: Quaternion, Rotation (mathematics), Computation, Algorithm, Rotation matrix, Angular velocity, Computer science, Mathematics