Abstract
In this manuscript, an asymptotically stable control scheme is designed for space robot system. The space robot systems are highly uncertain systems and face structured/unstructured uncertainties, unbounded disturbances and unpredictable environment interference. The inability of model-based control schemes for such uncertain systems is improved by combining with neural network-based model-free scheme together with an adaptive bound. The proposed controller achieves the desired trajectory tracking adequately. The unknown dynamics of the system is approximated with RBF neural network without the requirement of offline learning. To recompense the effect of approximation error and unknown bound on uncertainties, the adaptive bound part of the controller is utilized. In the proposed approach, we do not need joint acceleration measurements. The Lyapunov function approach is utilized to show that the proposed controller is stable and the errors are asymptotically convergent. Finally, the numerical simulation studies are performed to validate the proposed approach and the effectiveness is shown in a comparative manner with various existing controllers.
Similar content being viewed by others
References
Flores-Abad, A.; Ma, O.; Pham, K.; Ulrich, S.: A review of space robotics technologies for on-orbit servicing. Prog. Aerosp. Sci. 68, 1–26 (2014)
Papadopoulos, E.; Dubowsky, S.: On the nature of control algorithms for free-floating space manipulators. IEEE Trans. Robot. Autom. 7, 750–758 (1991)
Xu, Y.; Shum, H.; Kanade, T.; Lee, J.: Parameterization and adaptive control of space robot systems. IEEE Trans. Aerosp. Electron. Syst. 30, 435–451 (1994)
Ma, B.; Huo, W.: Adaptive control of space robot system with an attitude controlled base. In: Proceedings of IEEE International Conference on Robotics and Automation, pp. 1265–1270 (1995)
Woerkom, P.; Guelman, M.; Ehrenwald, L.: Integrated adaptive control for space manipulators. Acta Astronaut. 38(3), 161–174 (1996)
Chen, L: Adaptive and robust composite control of coordinated motion of space robot system with prismatic joint. In: Proceedings of the 4th World Congress on Intelligent Control and Automation, pp. 1255–1259 (2002)
Taira, Y.; Sagara, S.: A design of digital adaptive control systems for space robot manipulators using a transpose of the generalized jacobian matrix. Artif. Life Robot. 9, 41–45 (2005)
Wang, H.; Xie, Y.: Passivity based adaptive jacobian tracking for free-floating space manipulators without using spacecraft acceleration. Automatica 45, 1510–1517 (2009)
Ulrich, S.; Sasiadek, J.Z.: Modified simple adaptive control for a two-link space robot. In: Proceedings of the American Control Conference, pp. 3654–3659 (2010)
Xu, W.; Meng, D.; Chen, Y.; Qian, H.; Xu, Y.: Dynamics modeling and analysis of a flexible-base space robot for capturing large flexible spacecraft. Multibody Syst. Dyn. 32, 357–401 (2014)
Jia, Y.H.; Hu, Q.; Xu, S.J.: Dynamics and adaptive control of a dual-arm space robot with closed-loop constraints and uncertain inertial parameters. Acta Mech. Sin. 30(1), 112–124 (2014)
Xu, W.; Peng, J.; Liang, B.; Mu, Z.: Hybrid modeling and analysis method for dynamic coupling of space robots. IEEE Trans. Aerosp. Electron. Syst. 52(1), 85–98 (2016)
Jayakody, H.S.; Shi, L.; Katupitiya, J.; Kinkaid, N.: Robust adaptive coordination controller for a spacecraft equipped with a robotic manipulator. J. Guid. Control Dyn. 39(2), 2699–2711 (2016)
Yinghong, J.; Shijie, X.: Decentralized adaptive sliding mode control of a space robot actuated by control moment gyroscopes. Chin. J. Aeronaut. 29(3), 688–703 (2016)
Lewis, F.; Jagannathan, S.; Yesildirek, A.: Neural Network Control of Robot Manipulators and Nonlinear Systems. Taylor and Francis, Philadelphia (1999)
Wai, R.: Tracking control based on neural network strategy for robot manipulator. Neurocomputing 51, 425–445 (2003)
Kumar, N.; Panwar, V.; Sukavanam, N.; Sharma, S.P.; Borm, J.: Neural network-based nonlinear tracking control of kinematically redundant robot manipulators. Math. Comput. Model. 53, 1889–1901 (2011)
Panwar, V.; Kumar, N.; Sukavanam, N.; Borm, J.: Adaptive neural controller for cooperative multiple robot manipulator system manipulating a single rigid object. Appl. Soft Comput. 12, 216–227 (2012)
El-Araby, E.A.G.; El-Bardini, M.A.; El-Rabaie, N.M.: Decentralized single-neuron-based distributed controller for vibration equalization in an elastic coupled multi-motor system. Arab. J. Sci. Eng. 42(7), 2885–2897 (2017)
Wilson, E.; Rock, S.M.: Reconfigurable control of a free-flying space robot using neural networks. In: Proceedings of American Control Conference, pp. 1355–1359 (1995)
Wang, C.; Feng, B.; Ma, G.; Ma, C.: Robust tracking control of space robots using fuzzy neural network. In: Proceedings of the IEEE International Symposium on Computational Intelligence in Robotics and Automation, pp. 181–185 (2005)
Pazelli, T.A.; Terra, M.H.; Siqueira, A.G.: Adaptive nonlinear \(h_\infty \) controllers applied to a free-floating space manipulator. In: Proceedings of IEEE International Conference on Control Applications, pp. 1476–1481 (2006)
Guo, Y.; Chen, L.: Adaptive neural network control of coordinated motion of dual-arm space robot system with uncertain parameters. In: Proceedings of 7th World Congress on Intelligent Control and Automation, pp. 4842–4846 (2008)
Zou, A.M.; Kumar, K.D.: Adaptive attitude control of spacecraft without velocity measurements using Chebyshev neural network. Acta Astronaut. 66(5–6), 769–779 (2010)
Kumar, N.; Panwar, V.; Borm, J.; Chai, J.; Yoon, J.: Adaptive neural controller for space robot system with an attitude controlled base. Neural Comput. Appl. 23(7), 2333–2340 (2013)
Li, Q.; Fucai, L.; Lihuan, L.; Jingfang, G.: Fuzzy adaptive robust control for space robot considering the effect of the gravity. Chin. J. Aeronaut. 27(6), 1562–1570 (2014)
Kumar, N.; Panwar, V.: Intelligent control of space robot system using RBF neural network. In: Proceedings of the 5th International Conference on Control, Automation and Systems, pp. 167–172 (2015)
Park, J.; Sandberg, I.W.: Universal approximation using radial-basis-function networks. Neural Comput. 3, 246–257 (1991)
Slotine, J.; Weiping, L.: Applied Nonlinear Control. Prentice Hall, Upper Saddle River (1991)
Kwan, C.; Dawson, D.; Lewis, F: Robust adaptive control of robots using neural network: global tracking stability. In: Proceedings of the 34th Conference on Decision and Control, pp. 1846–1851 (1995)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kumar, N. An Asymptotically Stable Control Scheme for Space Robot System. Arab J Sci Eng 43, 8049–8055 (2018). https://doi.org/10.1007/s13369-018-3295-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-018-3295-y