针对动量球转子全姿态空间测量的应用需求,该文对转子按照经纬度渐变的颜色编码方案进行了改进,分析了编码纬度范围与传感器分布之间的关系,提出一种按照三正交轴渐变的颜色编码方案,该编码方案具有颜色分布均匀,颜色矢量与坐标值之间的映射关系更为直接等特点。仿真实验验证了2种渐变色编码测量方案在全姿态空间范围内快速方位测量的可行性,比较了2种方法的测量误差,结果表明:按照三轴渐变色的编码方式具有更好的测量精度。
Orientation sensing of the full-attitude of a reaction sphere recognized accurate sensing of the color changes with latitude and longitude. This study analyzed the relation between the latitude range and the sensor distribution. A gradient color coding strategy was developed with the RGB colors changing along 3 orthogonal axes. This coding method provides a uniform color distribution and direct correspondence between the color and the coordinates. Simulations show the feasibility of using two gradient color codes for fast orientation sensing at full-attitude with smaller errors than with second coding.
[1] Heinrich C R, Robert C M, Wilhelm E R, et al. Spherical-flywheel attitude-control system:USA, 3105657[P].[1963-10-1]. [2] Rossini L, Chételat O, Onillon E, et al. Force and torque analytical models of a reaction sphere actuator based on spherical harmonic rotation and decomposition[J]. IEEE/ASME Transactions on Mechatronics, 2013, 18(3):1006-1018. [3] Zhou L. Magnetically Suspended Reaction Sphere with One-axis Hysteresis Drive[D]. Massachusetts:Massachusetts Institute of Technology, 2014. [4] Iwakura A, Tsuda S, Tsuda Y. Feasibility study on three dimensional reaction wheel[J]. Proceedings of the School of Science of Tokai University, Series E, 2008, 33:51-57. [5] Kang D W, Kim W H, Go S C, et al. Method of current compensation for reducing error of holding torque of permanent-magnet spherical wheel motor[J]. IEEE Transactions on Magnetics, 2009, 45(6):2819-2822. [6] 王群京, 钱喆, 郭中醒. 三维球形电动机位置检测的研究与发展[J]. 微特电机, 2009, 37(12):65-69. WANG Qunjing, QIAN Jie, GUO Zhongxing. Development of orientation sensing of a 3-DOF spherical motor[J]. Small and Special Electrical Machines, 2009, 37(12):65-69.(in Chinese) [7] Stein D, Scheinerman E R, Chirikjian G S. Mathematical models of binary spherical-motion encoders[J]. IEEE/ASME Transactions on Mechatronics, 2003, 8(2):234-244. [8] Chirikjian G S, Stein D. Kinematic design and commutation of a spherical stepper motor[J]. IEEE/ASME Transactions on Mechatronics, 1999, 4(4):342-353. [9] Stein D, Chirikjian G S, Scheinerman E R. Theory, design, and implementation of a spherical encoder[C]//Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation. Piscataway, NJ, USA:IEEE Press, 2001, 2:1773-1779. [10] Xin J G, Xia C L, Li H F, et al. A novel orientation measurement using optical sensor for spherical motor[J]. Science China, 2013, 56(6):1330-1339. [11] Garner H, Klement M, Lee K M. Design and analysis of an absolute non-contact orientation sensor for wrist motion control[C]//2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Piscataway, NJ, USA:IEEE Press, 2001:69-74. [12] Lee K M, Zhou D. A real-time optical sensor for simultaneous measurement of three-DOF motions[J]. IEEE/ASME Transactions on Mechatronics, 2004, 9(3):499-507. [13] Kumagai M, Hollis R L. Development of a three-dimensional ball rotation sensing system using optical mouse sensors[C]//2011 IEEE International Conference on Robotics and Automation. Piscataway, NJ, USA:IEEE Press, 2011:5038-5043. [14] Shuhei Maeda. Study on Three-DOF Electromagnetic Spherical Actuator and the Orientation Sensing[D]. Osaka:Osaka University, 2015. [15] 章仁为. 卫星轨道姿态动力学与控制[M]. 北京:北京航空航天大学出版社, 1998.ZHANG Renwei. Satellite Orbit Attitude Dynamics and Control[M]. Beijing:Beihang University Press, 1998.