Abstract
On many occasions, all the manipulators in the multi-manipulator system need to achieve the same joint configuration to fulfill certain coordination tasks. In this chapter, a distributed adaptive approach is proposed for solving this coordination problem based on the leader-follower strategy. The proposed algorithm is distributed because the controller for each follower manipulator is solely based on the information of connected neighbor manipulators, and the joint value of leader manipulator is only accessible to partial follower manipulators. The uncertain term in the manipulator’s dynamics is considered in the controller design, and it is approximated by the adaptive neural network scheme. The neural network weight matrix is adjusted on-line by the projection method, and the pre-training phase is no longer required. Effects of approximation error and external disturbances are counteracted by employing the robustness signal. According to the theoretical analysis, all the joints of follower manipulators can be regulated into an arbitrary small neighborhood of the value of leader’s joint. Finally, simulation results are given to demonstrate the satisfactory performance of the proposed method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Luh, J.Y.S., Zheng, Y.F.: Constrained relations between two coordinated industrial robots for motion control. Int. J. Robot. Res. 6, 60–70 (1987)
Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48, 988–1001 (2003)
Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49, 1520–1533 (2004)
Ren, W., Beard, R.W.: Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Autom. Control 50, 655–661 (2005)
Cheng, L., Hou, Z.G., Tan, M.: Observer-based consensus protocol for linear multi-agent systems. IEEE Trans. Autom. Control (under review)
Moreau, L.: Stability of multiagent systems with time-dependent communication links. IEEE Trans. Autom. Control 50, 169–182 (2005)
Hou, Z.G., Cheng, L., Tan, M.: Decentralized robust adaptive control for multi-agent system consensus problem using neural networks. IEEE Trans. Syst. Man Cybern., Part B, Cybern. 39, 636–647 (2009)
Hong, Y., Hu, J., Gao, L.: Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42, 1177–1182 (2006)
Shi, H., Wang, L., Chu, T.: Virtual leader approach to coordinated control of multiple mobile agents with asymmetric interactions. Physica D 213, 51–65 (2006)
Ren, W.: Multi-vehicle consensus with a time-varying reference state. Syst. Control Lett. 56, 474–483 (2007)
Hu, J., Hong, Y.: Leader-following coordination of multi-agent systems with coupling time delays. Physica A 374, 853–863 (2007)
Ma, C.Q., Li, T., Zhang, J.F.: Leader-following consensus control for multi-agent systems under measurement noises. In: Proceedings of IFAC World Congress, pp. 1528–1533 (2008)
Ren, W., Beard, R.W., Atkins, E.M.: A survey of consensus problems in multi-agent coordination. In: Proceedings of American Control Conference, pp. 1859–1864 (2005)
Olfati-Saber, R., Fax, J.A., Murray, R.M.: Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95, 215–233 (2007)
Cheng, L., Hou, Z.G., Tan, M., Liu, D., Zou, A.M.: Multi-agent based adaptive consensus control for multiple manipulators with kinematic uncertainties. In: Proceedings of IEEE International Symposium on Intelligent Control, pp. 189–194 (2008)
Cheng, L., Hou, Z.G., Tan, M.: Decentralized adaptive consensus control for multi-manipulator system with uncertain dynamics. In: Proceedings of IEEE International Conference on Systems, Man, and Cybernetics, pp. 2712–2717 (2008)
Cheng, L., Hou, Z.G., Tan, M.: Decentralized adaptive leader-follower control of multi-manipulator system with uncertain dynamics. In: Proceedings of The 34th Annual Conference of the IEEE Industrial Electronics Society, pp. 1608–1613 (2008)
Narendra, K.S., Parthasarathy, K.: Identification and control of dynamical systems using neural networks. IEEE Trans. Neural Netw. 1, 4–27 (1990)
Polycarpou, M.M., Ioannou, P.A.: Identification and control of nonlinear systems using neural network models: design and stability analysis. University of Southern California Technical Report 91-09-01 (1991)
Polycarpou, M.M.: Stable adaptive neural control scheme for nonlinear systems. IEEE Trans. Autom. Control 41, 447–451 (1996)
Lewis, F.L., Jagannathan, S., Yesildirek, A.: Neural Network Control of Robot Manipulators and Nonlinear Systems. Taylor & Francis, New York (1998)
Ge, S.S., Lee, T.H., Harris, C.J.: Adaptive Neural Network Control of Robotic Manipulators. World Scientific, Singapore (1998)
Cheng, L., Hou, Z.G., Tan, M.: Adaptive neural network tracking control for manipulators with uncertain kinematics, dynamics and actuator model. Automatica 45, 2312–2318 (2009)
Farrell, J.A., Polycarpou, M.M.: Adaptive Approximation Based Control: Unifying Neural, Fuzzy and Traditional Adaptive Approximation Approaches. Wiley-Interscience, Hoboken (2006)
Ge, S.S., Wang, C.: Adaptive neural control of uncertain MIMO nonlinear systems. IEEE Trans. Neural Netw. 15, 674–692 (2003)
Kanellakopoulos, I., Kokotovic, P.V., Morse, A.S.: Systematic design of adaptive controllers for feedback linearizable systems. IEEE Trans. Autom. Control 36, 1241–1253 (1991)
Cheng, L., Hou, Z.G., Tan, M.: Neural-network-based adaptive leader-following control for multi-agent systems with uncertainties. IEEE Trans. Neural Netw. (under review)
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (Grants 60725309, 60775043 and 60805038) and the National Hi-Tech R&D Program (863) of China (Grant 2009AA04Z201).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag London Limited
About this chapter
Cite this chapter
Hou, ZG., Cheng, L., Tan, M., Wang, X. (2010). Distributed Adaptive Coordinated Control of Multi-Manipulator Systems Using Neural Networks. In: Liu, H., Gu, D., Howlett, R., Liu, Y. (eds) Robot Intelligence. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/978-1-84996-329-9_3
Download citation
DOI: https://doi.org/10.1007/978-1-84996-329-9_3
Publisher Name: Springer, London
Print ISBN: 978-1-84996-328-2
Online ISBN: 978-1-84996-329-9
eBook Packages: Computer ScienceComputer Science (R0)