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Space Flyaround and In-orbit Inspection Coupled Control Based on Dual Numbers

Published online by Cambridge University Press:  03 May 2018

Lijun Zhang ,
Hanqiu Li ,
Jianping Liu ,
Shan Qian ,
Yi Lu  and
Hengnian Li
Lijun Zhang*
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China) (State Key Laboratory of Astronautic Dynamics, Xi'an, China) (State Key Laboratory of Geo-information Engineering, Xi'an, China)
Hanqiu Li
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China)
Jianping Liu
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China) (State Key Laboratory of Astronautic Dynamics, Xi'an, China)
Shan Qian
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China) (State Key Laboratory of Astronautic Dynamics, Xi'an, China)
Yi Lu
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China) (State Key Laboratory of Astronautic Dynamics, Xi'an, China)
Hengnian Li
Affiliation:
(China Xi'an Satellite Control Center, Xi'an, China) (State Key Laboratory of Astronautic Dynamics, Xi'an, China)
*
(E-mail: [email protected])
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Abstract

In this paper, both the proportional derivative feedback control and variable-structure sliding mode control approaches based on dual numbers are presented to design space flyaround and in-orbit inspection missions. Dual-number-based spacecraft kinematics and dynamics models are formulated. The integrated translational and rotational motions can be described in one compact expression, and the mutual coupling effect can be considered. A space flyaround and in-orbit inspection mission model based on dual numbers is derived. Both proportional derivative feedback control and variable-structure sliding mode control laws are designed using dual numbers. Simulation results indicate that both the proposed control system can provide high-precision control for relative position and attitude. Of the two systems, the variable-structure sliding mode control system performs the best.

Keywords

Space flyaroundIn-orbit inspectionDual numbersVariable-Structure sliding mode control
Type
Research Article
Information
The Journal of Navigation , Volume 71 , Issue 5 , September 2018 , pp. 1088 - 1110
Copyright
Copyright © The Royal Institute of Navigation 2018 

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References

REFERENCES

Brodsky, V. and Shoham, M. (1999). Dual Numbers Representation of Rigid Body Dynamics. Mechanism and Machine Theory, 34(5), 693–718.Google Scholar
Clifford, W. (1873). Preliminary sketch of bi-quaternions. Proceedings of the London Mathematical Society, 4, 381–395.Google Scholar
Daniilidis, K. (1999). Hand-eye calibration using dual quaternions. International Journal of Robotics Research, 18, 286–298.Google Scholar
Gaulocher, S. (2005). Modeling the coupled translational and rotational relative dynamics for formation flying control. AIAA Guidance, Navigation, and Control Conference and Exhibition, 2594–2599.Google Scholar
Gong, S., Baoyin, H. and Li, J. (2009). Coupled attitude-orbit dynamics and control for displaced solar orbits. Acta Astronautica, 65, 730–737.Google Scholar
Kristiansen, R., Nicklasson, P. J. and Gravdahl, J. T. (2008). Spacecraft coordination control in 6DOF: Integrator backstepping vs passivity-based control. Automatica, 44 (11), 2896–2901.Google Scholar
Lefferts, E. J., Markley, F. L. and Shuster, M. D. (1982). Kalman Filtering for Spacecraft Attitude Estimation. Journal of Guidance, Control, and Dynamics, 5(5), 417–429.Google Scholar
Park, H., Park, S., Kim, S. and Park, C. (2013). Integrated orbit and attitude hardware-in-the-loop simulation for autonomous satellite formation flying. Advances in Space Research, 52(12), 2052–2066.Google Scholar
Pan, H. and Kapila, V. (2001). Adaptive Nonlinear Control for Spacecraft Formation Flying with Coupled Translational and Attitude Dynamics. Proceedings of the 40th IEEE Conference on Decision and Control, New York, 2057–2062.Google Scholar
Segal, S. and Gurfil, P. (2009). Effect of kinematic rotation-translation coupling on relative spacecraft translational dynamics. Journal of Guidance, Control and Dynamics, 32(2), 1045–1050.Google Scholar
Stansbery, D. T. and Cloutier, J. R. (2000). Position and attitude control of a spacecraft using the state-dependent Riccati equation technique. Proceedings of the American Control Conference, Chicago, USA, 1867–1871.Google Scholar
Sidi, M. J. (1997). Spacecraft Dynamics and Control: A Practical Engineering Approach. Cambridge University Press, New York, 107–114.Google Scholar
Slotine, J. and Li, W. (1991). Applied Nonlinear Control, Prentice Hall, Inc.Google Scholar
Wang, J., Liang, H., Sun, Z., Wu, S. and Zhang, S. (2011). Relative motion coupled control based on dual quaternion. Aerospace Science and Technology, 25(1), 102–113.Google Scholar
Wang, J. and Sun, Z. (2012). 6-DOF robust adaptive terminal sliding mode control for spacecraft formation flying. Acta Astronautica, 73, 76–87.Google Scholar
Wong, H., Pan, H. Z. and Kapila, V. (2005). Output feedback control for spacecraft formation flying with coupled translation and attitude dynamics. Proceedings of 2005 American Control Conference, Portland, OR, 2419–2426.Google Scholar
Wu, Y., Hu, X., Hu, D., Li, T. and Lian, J. (2005). Strapdown Inertial Navigation System Algorithms Based on Dual Quaternions. IEEE Transactions on Aerospace and Electronic Systems, 41(1), 110–132.Google Scholar
Wu, Y., Wu, M., Hu, D. and Hu, X. (2006). Strapdown inertial navigation using dual quaternion algebra: error analysis. IEEE Transactions on Aerospace and Electronic Systems, 42(1), 259–266.Google Scholar
Xing, Y., Cao, X., Zhang, S., Guo, H. and Wang, F. (2010). Relative position and attitude estimation for satellite formation with coupled translational and rotational dynamics. Acta Astronautica, 67, 455–467.Google Scholar
Yang, A. T. (1964). Application of dual-number quaternion algebra and dual numbers to the analysis of spatial mechanisms. Ph. D. dissertation, Dept. Mechanical Engineering, Columbia University.Google Scholar
Zhang, F. and Duan, G. (2011). Robust integrated translation and rotation finite-time maneuver of a rigid spacecraft based on dual quaternion. AIAA Guidance, Navigation, and Control Conference, Portland, Oregon, 6396.Google Scholar