著者

関口 叡範 武居 直行

出版者

一般社団法人 日本ロボット学会

雑誌

日本ロボット学会誌 (ISSN:02891824)

巻号頁・発行日

vol.37, no.8, pp.726-734, 2019 (Released:2019-10-18)

参考文献数

27

被引用文献数

6 4

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Angle-axis vector, which is also called axis-angle representation or rotation vector, can be applied to represent an orientation or orientation error with minimal three parameters. However, it has a problem about singular points. Therefore, this paper shows a method for calculating angle-axis vector at singular points. In addition, this paper proposes an extended angle-axis vector. Conventional angle-axis vector cannot represent an orientation error that is greater than π due to the range of inverse trigonometric function. The extended angle-axis vector can express the orientation that cannot be represented by the conventional method. The results of this study are expected to give a new method for expressing an orientation error which is needed for numerical solution of inverse kinematics or some attitude controls.