Lateral Force Measurement and Processing of Planar Air-Bearing System for Microgravity Simulation

doi:10.16182/j.issn1004731x.joss.201810019

Abstract

Abstract: An approach of direct force measurement is proposed to estimate the lateral force of a planar air cushion system. Lateral force gauges are arranged around the planar air bearing platform with preloading force exerted before afloat. Lateral force and its torque with respect to the geometric center can be obtained from the gauge variations while the afloat system reaches balance. Friction coefficient in every touch-spot can be evaluated with least square state estimation, which changes to a generic minimum problem with constraints since its solution matrix has a rank deficit. The analysis based on the test of a specified platform reveals there is desirable difference between estimation with friction and one without, if the preloading force is less than the critical value across which the direction changes.

Key words: planar air-bearing system, lateral force, torque of lateral force, friction coefficient, deficit rank, singular value decomposition

CLC Number:

V447+.1

Li Xinfeng, Xiang Dong, Tian Xinghua, Wei Wei. Lateral Force Measurement and Processing of Planar Air-Bearing System for Microgravity Simulation[J]. Journal of System Simulation, 2018, 30(10): 3746-3752.

References

[1] Jana L Schwartz, Mason A Peck, Christopher D.Hall: Historical Review of Air-Bearing Spacecraft Simulators[J]. Journal of Guidance Control and Dynamics (S0731-5090), 2003, 26(1): 513-521.
[2] 许剑, 杨庆俊, 包刚, 等. 多自由度气浮仿真试验台的研究与发展[J]. 航天控制, 2009, 27(6): 96-101.
Xu Jian, Yang Qingjun, Bao Gang, et al.Research and Development of Air Bearing Spacecraft Simulator on the Multiple Degrees of Freedom[J]. Aerospace Control, 2009, 27(6): 96-101.
[3] Markus Schlotterer, Stephan Theil.Testbed for on-orbit servicing and formation flying dynamics emulation[C]// AIAA Guidance, Navigation, and Control Conference, Canada, 2010. USA: AIAA, 2010.
[4] William R Wilson, Laura L Jones, Mason A Peck. A Multi-module Planar Air Bearing Testbed for CubeSat-Scale Spacecraft [J]. J. Dyn. Sys., Meas. Control (S0022-0434), 2013, 135(4): 045001-045001-10.
[5] Youngho Eun, Chandeok Park, Sang Young Park.Design and Development of Ground-Based 5-DOF Spacecraft Formation Flying Testbed[C]// AIAA Modeling and Simulation Technologies Conference, 2016. USA: AIAA, 2016.
[6] Tomasz Rybus, Janusz N K, Karol Seweryn, et al. New Planar Air-bearing Microgravity Simulator for Verification of Space Robotics Numerical Simulations and Control Algorithms [C/OL] 12th Symposium on Advanced Space Technologies in Robotics and Automation on ASTRA, (2018) [2013]. http://robotics. estec.esa.int/ASTRA/ Astra2013/astra2013_programme.html
[7] Markus Wilde, Brian D Kaplinger, Tiauw H Go.: ORION: A Teaching and Research Platform for Simulation of Space Proximity Operations[C]// AIAA Space Conference and Exposition, California, 2015. USA: AIAA, 2015.
[8] H J Cruijssen, M Ellenbroe, M Henderson, et al. The European robotic arm: a high-performance mechanism finally on its way to space [C/OL] Proceedings of the 42nd Aerospace Mechanisms Symposium, Baltimore, USA, (2018) [2015]. https://ntrs.nasa.gov/archive/nasa/ casi.ntrs.nasa.gov/20150004070.pdf.
[9] J Prado1, G Bisiacchi, L Reyes, et al. Three-Axis Air-Bearing Based Platform for Small Satellite Attitude Determination and Control Simulation[J]. J. Applied Research and Technology (S1665-6423), 2005, 3(3): 222-237.
[10] Jae Jun Kim, Brij N Agrawal.Automatic Mass Balancing of Air-Bearing-Based Three-Axis Rotational Spacecraft Simulator[J]. Journal of Guidance, Control, and Dynamics (S0731-5090), 2009, 32(3): 1005-1017.
[11] 向东, 杨庆俊, 包钢, 等. 三轴气浮系统常值干扰力矩的分析与补偿[J]. 宇航学报, 2009, 30(2):448-452.
Xiang Dong, Yang Qingjun, Bao Gang, et al.Research and Analysing and Compensation of the Steady Disturbing Torque of the Three Axis Air Bearing Table[J]. Journal of Astronautics, 2009, 30(2): 448-452.
[12] D Gallardo, R Bevilacqua. Six Degrees of Freedom Experimental Platform for Testing Autonomous Satellites Operations [C/OL] ESA Conference on GN&C System, 2011, Czech Republic. (2018) [2011] www.riccardobevilacqua.com/ESAGNC_Paper_final.pdf
[13] 杨秀彬, 金光, 徐开. 三轴气浮台自动调节平衡和干扰力矩测试[J]. 空间科学学报, 2009, 29(1): 34-38.
Yang Xiubin, Jin Guang, Xu Kai.Adjust to the Balance of Three-DOF Air-Bearing Test-Platform and the Research of Disturber Torque[J]. Chin. J. Space Sci., 2009, 29(1): 34-38.
[14] 许剑, 杨庆俊, 包刚, 等. 五自由度气浮台平动时侧向干扰力问题的研究[J]. 宇航学报, 2009, 30(5): 1823-1828.
Xu Jian, Yang Qingjun, Bao Gang, et al.Research on Lateral Disturbance Force of the 5 DOF Air-Bearing Spacecraft Simulator[J]. Journal of Astronautics, 2009, 30(5): 1823-1828.
[15] 许剑, 杨庆俊, 包刚, 等. 五自由度气浮台姿态的计算机视觉辅助确定[J]. 四川大学学报, 2009, 41(4): 220-226.
Xu Jian, Yang Qingjun, Bao Gang, et al.Attitude Determination of the 5-DOF Air-Bearing Testbed Aided by Computer Vision[J]. Journal of Sichuan University (Engineering Science Edition), 2009, 41(4): 220-226.
[16] 刘伟, 徐斌. 卫星气浮平台视觉测量系统研究[J]. 微计算机信息, 2010, 24(4): 123-125.
Liu Wei, Xu Bin.Rsearch on Vision-Detecting System for Satellite Flotation Platform[J]. Micro-computer Information, 2010, 24(4): 123-125.
[17] Subhransu Mishra, Marin Kobilarov.An Autonomous Proximity Navigation Testbed for Nanosatellites[C]// 28th. Annual AIAA/USU Conference on Small Satellites, 2014. USA: AIAA, 2014.
[18] Bing Hua, Yunhua Wu, Zhujun Shao, et al.A New Feature Points Reconstruction Method in Spacecraft Vision Navigation[J]. Mathematical Problems in Engineering (S1024-123X), 2015, (V2015): 549820.