Abstract
In this paper, a sliding mode controller is presented for the trajectory tracking by a group of ships with an established formation along a given parametrized path via neural network and sliding mode control technique. The control objective for each ship is to keep its relative positon in the formation while a virtual Formation Reference Point (FRP) tracks a predefined path. We first solve the virtual structure formation problems via sliding mode control method due to its excellent adaptability to external disturbance and system perturbation. Moreover, a radial basis function NN is considered in the design of the controller to approximate the unknown uncertainties efficiently. Some simulations are given to verify the theoretical results in this paper.
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References
Yiguang, H., Guanrong, C., Linda, B.: Distributed observers design for leader-following control of multi-agent networks. Automatica 44, 846–850 (2008)
Zhouhua, P., Dan, W., Zhiyong, C., Xiaojing, H., Weiyao, L.: Adaptive dynamic surface control for formations of autonomous surface vehicles with uncertain dynamics. IEEE Trans. Control Syst. Technol. 21(2), 513–519 (2013)
Ren, C.-E., Chen, C.L.P.: Sliding mode leader-following consensus controllers for second-order non-linear multi-agent systems. IET Control Theory Appl. 9(10), 1544–1552 (2015)
Randal, W.B., Jonathan, L., Fred, Y.H.: A coordination architecture for spacecraft formation control. IEEE Trans. Control Syst. Technol. 9(6), 777–790 (2001)
Roger, S., Sonja, M., Thor, I.F.: Nonlinear formation control of marine craft. In: Proceedings of the 41st IEEE Conference on Decision and Control, pp. 1699–1703. IEEE, Las Vegas (2002)
Jawhar, G., Hasan, M., Maarouf, S., Faical, M.: Formation path following control of unicycle-type mobile robots. Robot. Auton. Syst. 58(5), 727–736 (2010)
Filippo, A., Stefano, C., Thor, I.F.: Formation control for underactuated surface vessels using the null-space-based behavioral control. In: Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 5942–5947. Beijing (2006)
Mabrouk, M.H., Mclnnes, C.R.: Solving the potential field local minimum problem using internal agent states. Robot. Auton. Syst. 56(12), 1050–1060 (2008)
Sharma, A., Panwar, V.: Control of mobile robot for trajectory tracking by sliding mode control technique. In: ICEEOT, pp. 3988–3994 (2016)
Wenwu, Y., He, W., Fei, C., Xinghuo, Y., Guanghui, W.: Second-order consensus in multiagent systems via distributed sliding mode control. IEEE Trans. Cybern. 1–10 (2016)
Zengguang, H., Long, C., Min, T.: Decentralized robust adaptive control for the multiagent system consensus problem using neural networks. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 39(3), 636–647 (2009)
Chen, C.L.P., Wen, G.X., Liu, Y.J., Wang, F.Y.: Adaptive consensus control for a class of nonlinear multiagent time-delay systems using neural networks. IEEE Trans. Neural Netw. Learn. Syst. 25(6), 1217–1226 (2014)
Anmin, Z., Krishna, D.K., Zengguang, H.: Distributed consensus control for multi-agent systems using terminal sliding mode and Chebyshev neural networks. Int. J. Robust Nonlinear Control 23(3), 334–357 (2013)
Hongwen, M., Zhuo, W., Ding, W., Derong, L., Pengfei, Y., Qinglai, W.: Neural-network-based distributed adaptive robust control for a class of nonlinear multiagent systems with time delays and external noises. IEEE Trans. Syst. Man Cybern.: Syst. 46(6), 750–758 (2016)
Fossen, T.I.: Handbook of Marine Craft Hydrodynamics and Motion Control. Wiley, Norway (2011)
Acknowledgements
This work is supported in part by the National Natural Science Foundation of China (Grant Nos: 61572540, 51179019, 51279106, 61374114), the Macau Science and Technology Development under Grant 008/2010/A1 and UM Multiyear Research Grants, the Fundamental Research Program for Key Laboratory of the Education Department of Liaoning Province (LZ2015006), the Fundamental Research Funds for the Central Universities under Grants 3132016313 and 3132016311.
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Qin, Q., Li, TS., Liu, C., Philip Chen, C.L., Han, M. (2017). Virtual Structure Formation Control via Sliding Mode Control and Neural Networks. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10262. Springer, Cham. https://doi.org/10.1007/978-3-319-59081-3_13
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DOI: https://doi.org/10.1007/978-3-319-59081-3_13
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