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Hybrid-Trajectory Based Terminal Sliding Mode Control of a Flexible Space Manipulator with an Elastic Base

Published online by Cambridge University Press:  25 June 2019

Xiaoyan Yu*
Affiliation:
School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, 350116 Fujian Province, China Key Laboratory of Fluid Power and Intelligent Electro-Hydraulic Control(Fuzhou University), Fujian Province University, Fuzhou, 350116 Fujian Province, China
*
*Corresponding author. E-mail: [email protected]

Summary

A hybrid-trajectory based terminal sliding mode controller (TSMC) is addressed for a free-flying two-flexible-link space manipulator with an elastic base. In this system, there are unknown but bounded external disturbances and parameters. First, the Lagrange dynamic model of the manipulator was established by the momentum conservation. Second, a TSMC based on desired trajectory was proposed, by which the terminal trajectories were asymptotically tracked and periodic flexible vibrations were excited. Then based on virtual control force, hybrid trajectories were generated, in which the flexible variables, the joint angular displacement errors and the base’s attitude error were considered. Finally, a hybrid-trajectory TSMC was presented, by which the terminal trajectories were asymptotically tracked and the flexible vibrations were suppressed.

Type
Articles
Copyright
© Cambridge University Press 2019 

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References

Boumans, R. and Heemskerk, C., “The European robotic arm for the International Space Station,” Robot. Auton. Syst. 23(1), 1727 (1998).CrossRefGoogle Scholar
Garneau, M., “Space in the Service of Society: A Canadian Case Study,” Proceedings of 2nd International Conference on Recent Advances in Space Technologies, Istanbul, Turkey (2005), pp. 16.Google Scholar
Nohmi, M., “Development of Space Tethered Autonomous Robotic Satellite,” Proceedings of 3rd International Conference on Recent Advances in Space Technologies, Istanbul, Turkey (2007) pp. 462467.Google Scholar
Holcomb, L. B. and Montemerlo, M. D., “NASA automation and robotics technology program,” IEEE Aerosp. Electron. Syst. Mag. 2(4), 1926 (2009).CrossRefGoogle Scholar
Yoshida, K., “Achievements in space robotics,” IEEE Robot. Autom. Mag. 16(4), 2028 (2009).CrossRefGoogle Scholar
Walker, M. W. and Wee, L. B., “Adaptive control of space-based robot manipulators,” IEEE Trans. Robot. Autom. 7(6), 828835 (1991).CrossRefGoogle Scholar
Gu, Y. L. and Xu, Y., “A normal form augmentation approach to adaptive control of space robot systems,” Dyn. Control 5(3), 275294 (1995).CrossRefGoogle Scholar
Parlaktuna, O. and Ozkan, M., “Adaptive control of free-floating space robots in Cartesian coordinates,” Adv. Robot. 18(9), 943959 (2004).CrossRefGoogle Scholar
Sanner, R. M. and Vance, E. E., “Adaptive Control of Free-Floating Space Robots Using Neural Networks,” Proceedings of the 1995 American Control Conference, Seattle, WA (1995) pp. 27902794.Google Scholar
de FPA Taveira, T., Siqueira, A. A. and Terra, H., “Adaptive Nonlinear H8 Controllers Applied to a Free-Floating Space Manipulator,” Proceedings of the 2006 IEEE International Conference on Control Applications, Munich, Germany (2006) pp. 14761481.CrossRefGoogle Scholar
Flores-Abad, A. and Ma, O., “Control of a Space Robot for Minimal Attitude Disturbance to the Base Satellite for Capturing a Tumbling Satellite,” Proceedings of SPIE Sensors and Systems for Space Applications V, Baltimore, USA, vol. 8385 (2012).CrossRefGoogle Scholar
Wu, L. CH., Sun, F. CH., Sun, Z. Q. and Su, W. J., “Dynamic Modeling, Control and Simulation of Flexible Dual-Arm Space Robot,” Proceedings of 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power, Beijing, China (2002) pp. 12821285.Google Scholar
Senda, K. and Murotsu, Y., “Methodology for control of a space robot with flexible links,” IEEE Proc. Control Theory Appl. 47(6), 562568 (2000).Google Scholar
Carusone, J., Buchan, K. S. and D’Eleuterio, G. M. T., “Experiments in end-effector tracking control for structurally flexible space manipulators,” IEEE Trans. Robot. Autom. 9(5), 553560 (1993).CrossRefGoogle Scholar
Hong, ZH. B. and Chen, L., “Active vibration control and fuzzy control of free-floating space flexible manipulator based on singular perturbation theory,” J. Mech. Eng. 46(7), 3541 (2010).CrossRefGoogle Scholar
Murotsu, Y., Tsujio, S., Senda, K. and Hayashi, M., “Trajectory control of flexible manipulators on a freeflying space robot,” IEEE Control Syst. Mag. 12(3), 5157 (1992).Google Scholar
Liang, J. and Chen, L., “Fuzzy logic adaptive compensation control of end-effect motion and flexible vibration for space-based flexible manipulator,” Acta ArmamentarII 32(1), 4557 (2011).Google Scholar
Yu, X. Y. and Chen, L., “Singular perturbation adaptive control and vibration suppression of free-flying flexible space manipulators,” Proc. IMechE Part C: J. Mech. Eng. Sci. 229(11), 19891997 (2015).CrossRefGoogle Scholar
Akulenko, L. D., Krylov, S. S., Markov Yu, G., Win, T. T. and Filippova, A. S., “Dynamics of spacecraft with elastic and dissipative elements in the attitude control mode,” J. Comput. Syst. Sci. Int. 53(5), 723732 (2014).CrossRefGoogle Scholar
Tran, X. T. and Kang, H. J., “Adaptive hybrid high-order terminal sliding mode control of MIMO uncertain nonlinear systems and application to robot manipulators,” Int. J. Precis. Eng. Manuf. 16(2), 255266 (2015).CrossRefGoogle Scholar
Ding, S., Wang, J. and Zheng, W. X., “Second-order sliding mode control for nonlinear uncertain systems bounded by positive functions,” IEEE Trans. Ind. Electron. 62(9), 58995909 (2015).CrossRefGoogle Scholar
Nasiri, A., Kiong Nguang, S. and Swain, A., “Adaptive sliding mode control for a class of MIMO nonlinear systems with uncertainties,” J. Franklin Inst. B 351(4), 20482061 (2014).CrossRefGoogle Scholar
Alwi, H. and Edwards, C., “Sliding mode fault-tolerant control of an octorotor using linear parameter varying-based schemes,” IET Control Theory Appl. 9(4), 618636 (2015).CrossRefGoogle Scholar
Su, R. and Zong, Q., “Comprehensive design of disturbance observer and non-singular terminal sliding,” IET Control Theory Appl. 9(12), 18211830 (2015).CrossRefGoogle Scholar
Al-Ghanimi, A., Man, Z. and Zheng, J., “Robust and fast non-singular terminal sliding mode control for piezoelectric actuators,” IET Control Theory Appl. 9(18), 26782687 (2015).CrossRefGoogle Scholar
Guo, Y. S. and Chen, L., “Terminal sliding mode control for coordinated motion of a space rigid manipulator with external disturbance,” Appl. Math. Mech. 29(5), 583590 (2008).CrossRefGoogle Scholar
De Luca, A. and Siciliano, B., “Closed-form dynamic model of planar multilink lightweight robots,” IEEE Trans. Syst. Man Cybern. 21(4), 826839 (1991).CrossRefGoogle Scholar
Yu, X. Y. and Chen, L., “Robust Motion Control and Vibration Optimal Control for a Free-Flying Flexible Space Manipulator with Elastic Base,” Proceedings of the the 67th International Astronautical Congress, Guadalajala, Mexico (2016).Google Scholar
Signh, R. P., Vandervoort, R. J. and Likins, P.W., “Dynamics of flexible bodies in tree topology – a computer oriented approach,” J. Guid. Control Dyn. 8, 584590 (1985).Google Scholar