Neuro-adaptive cooperative control for high-order nonlinear multi-agent systems with uncertainties

Abdelrahem, M., Hackl, C.M. and Kennel, R. (2018). Finite position set-phase locked loop for sensorless control of direct-driven permanent-magnet synchronous generators, IEEE Transactions on Power Electronics 33(4): 3097–3105.10.1109/TPEL.2017.2705245 Search in Google Scholar

Arandabricaire, E., Moog, C. and Pomet, J. (1995). Infinitesimal Brunovsky form for nonlinear systems with applications to dynamic linearization, Geometry in Nonlinear Control and Differential Inclusions 13(32): 19–33.10.4064/-32-1-19-33 Search in Google Scholar

Aryankia, K. and Selmic, R.R. (2021). Neuro-adaptive formation control and target tracking for nonlinear multi-agent systems with time-delay, IEEE Control Systems Letters 5(3): 791–796.10.1109/LCSYS.2020.3006187 Search in Google Scholar

Bartoszewicz, A. and Adamiak, K. (2019). A reference trajectory based discrete time sliding mode control strategy, International Journal of Applied Mathematics and Computer Science 29(3): 517–525, DOI: 10.2478/amcs-2019-0038.10.2478/amcs-2019-0038 Search in Google Scholar

Bechlioulis, C.P. and Rovithakis, G.A. (2017). Decentralized robust synchronization of unknown high order nonlinear multi-agent systems with prescribed transient and steady state performance, IEEE Transactions on Automatic Control 62(1): 123–134.10.1109/TAC.2016.2535102 Search in Google Scholar

Couzin, I.D., Karuse, J., James, R., Ruxton, G.D. and Franks, N.R. (2002). Collective memory and spatial sorting in animal groups, Journals of Theoretical Biology 218(1): 1–11.10.1006/jtbi.2002.306512297066 Search in Google Scholar

Cui, B., Zhao, C., Ma, T. and Feng, C. (2016). Leader-following consensus of nonlinear multi-agent systems with switching topologies and unreliable communications, Neural Computing and Applications 27(4): 909–915.10.1007/s00521-015-1905-0 Search in Google Scholar

Das, A. and Lewis, F.L. (2010). Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities, International Journal of Robust and Nonlinear Control 21(13): 1509–1524.10.1002/rnc.1647 Search in Google Scholar

Duan, P., Liu, K., Huang, N. and Duan, Z. (2020). Event-based distributed tracking control for second-order multiagent systems with switching networks, IEEE Transactions on Systems, Man, and Cybernetics: Systems 50(9): 3220–3230.10.1109/TSMC.2018.2833098 Search in Google Scholar

Farrera, B., López-Estrada, F.R., Chadli, M., Valencia-Palomo, G. and Gómez-Peñate, S. (2020). Distributed fault estimation of multi-agent systems using a proportional-integral observer: A leader-following application, International Journal of Applied Mathematics and Computer Science 30(3): 551–560, DOI: 10.34768/amcs-2020-0040. Search in Google Scholar

Fathi, A., Shafiee, Q. and Bevrani, H. (2018). Robust frequency control of microgrids using an extended virtual synchronous generator, IEEE Transactions on Power Systems 33(6): 6289–6297.10.1109/TPWRS.2018.2850880 Search in Google Scholar

Fu, J., Lv, Y., Wen, G., Yu, X. and Huang, T. (2020). Velocity and input constrained coordination of second-order multi-agent systems with relative output information, IEEE Transactions on Network Science and Engineering 7(3): 1925–1938.10.1109/TNSE.2019.2958118 Search in Google Scholar

Huang, J., Dou, L., Fang, H., Chen, J. and Yang, Q. (2015). Distributed backstepping-based adaptive fuzzy control of multiple high-order nonlinear dynamics, Nonlinear Dynamics 81(1–2): 63–75.10.1007/s11071-015-1973-9 Search in Google Scholar

Joshi, K.D. (1983). Introduction to General Topology, John Wiley & Sons, New York. Search in Google Scholar

Li, B., Yang, H., Chen, Z. and Liu, Z. (2018). Distributed containment control of multi-agent systems with general linear dynamics and time-delays, International Journal of Control, Automation and Systems 16(6): 2718–2726.10.1007/s12555-017-0696-8 Search in Google Scholar

Ling, S., Wang, H. and Liu, P.X. (2019). Adaptive fuzzy dynamic surface control of flexible-joint robot systems with input saturation, IEEE/CAA Journal of Automatica Sinica 6(1): 97–107.10.1109/JAS.2019.1911330 Search in Google Scholar

Liu, Y. and Jia, Y.M. (2008). Leader-following consensus protocol for second-order multi-agent systems using neural networks, Proceedings of the 27th Chinese Control Conference, Kunming, China, pp. 535–539. Search in Google Scholar

Low, D. J. (2000). Following the crowd, Nature 407(6803): 465–466.10.1038/3503519211028986 Search in Google Scholar

Lu, K., Liu, Z., Lai, G., Chen, C.L. and Zhang, Y. (2021). Adaptive consensus tracking control of uncertain nonlinear multiagent systems with predefined accuracy, IEEE Transactions on Cybernetics 51(1): 405–415.10.1109/TCYB.2019.293343631484149 Search in Google Scholar

Ma, Q. and Miao, G.Y. (2015). Output consensus for heterogeneous multi-agent systems with linear dynamics, Applied Mathematics and Computation 271(15): 548–555.10.1016/j.amc.2015.08.117 Search in Google Scholar

Meng, W., Liu, P.X., Yang, Q. and Sun, Y. (2020). Distributed synchronization control of nonaffine multiagent systems with guaranteed performance, IEEE Transactions on Neural Networks and Learning Systems 31(5): 1571–1580.10.1109/TNNLS.2019.292089231265418 Search in Google Scholar

Miao, Z., Liu, Y., Wang, Y., Yi, G. and Fierro, R. (2018). Distributed estimation and control for leader-following formations of nonholonomic mobile robots, IEEE Transactions on Automation Science and Engineering 15(4): 1946–1954.10.1109/TASE.2018.2810253 Search in Google Scholar

Ni, J., Liu, L., Liu, C. and Liu, J. (2017). Fixed-time leader-following consensus for second-order multiagent systems with input delay, IEEE Transactions on Industrial Electronics 64(11): 8635–8646.10.1109/TIE.2017.2701775 Search in Google Scholar

Nian, H. and Jiao, Y. (2020). Improved virtual synchronous generator control of DFIG to ride-through symmetrical voltage fault, IEEE Transactions on Energy Conversion 35(2): 672–683.10.1109/TEC.2019.2954596 Search in Google Scholar

Parrish, J.K., Viscido, S.V., and Grunbaum, D. (2002). Self-organized fish schools: An examination of emergent properties, Biological Bulletin 202(3): 296–305.10.2307/154348212087003 Search in Google Scholar

Qin, J., Zhang, G., Zheng, W.X. and Kang, Y. (2019). Neural network-based adaptive consensus control for a class of nonaffine nonlinear multiagent systems with actuator faults, IEEE Transactions on Neural Networks and Learning Systems 30(12): 3633–3644.10.1109/TNNLS.2019.290156330946680 Search in Google Scholar

Shen, Q., Shi, P., Zhu, J., Wang, S. and Shi, Y. (2020). Neural networks-based distributed adaptive control of nonlinear multiagent systems, IEEE Transactions on Neural Networks and Learning Systems 31(3): 1010–1021.10.1109/TNNLS.2019.291537631199272 Search in Google Scholar

Wang, Q., Wang, J.L., Wu, H.N. and Huang, T. (2020). Consensus and h_∞ consensus of nonlinear second-order multi-agent systems, IEEE Transactions on Network Science and Engineering 7(3): 1251–1264.10.1109/TNSE.2019.2917287 Search in Google Scholar

Wu, Z.-G., Xu, Y., Pan, Y.-J., Su, H. and Tang, Y. (2018). Event-triggered control for consensus problem in multi-agent systems with quantized relative state measurements and external disturbance, IEEE Transactions on Circuits and Systems I: Regular Papers 65(7): 2232–2242.10.1109/TCSI.2017.2777504 Search in Google Scholar

Yang, N. and Li, J. (2020). Distributed robust adaptive learning coordination control for high-order nonlinear multi-agent systems with input saturation, IEEE Access 8: 9953–9964.10.1109/ACCESS.2019.2961745 Search in Google Scholar

Yao, D., Li, H., Lu, R. and Shi, Y. (2020). Distributed sliding-mode tracking control of second-order nonlinear multiagent systems: An event-triggered approach, IEEE Transactions on Cybernetics 50(9): 3892–3902.10.1109/TCYB.2019.296308731995513 Search in Google Scholar

Zhang, A., Zhang, S., Chen, Q. and Zhu, W. (2018). Consensus control of a class of second-order nonlinear multi-agent systems based on distributed adaptive protocol, Proceedings of the 30th Chinese Control and Decision Conference, CCDC 2018, Shenyang, China, pp. 4668–4672. Search in Google Scholar

Zhang, H. and Lewis, F.L. (2012). Adaptive cooperative tracking control of higher-order nonlinear systems with unknown dynamics, Automatica 48(7): 1432–1439.10.1016/j.automatica.2012.05.008 Search in Google Scholar

Zhao, K., Song, Y., Meng, W., Chen, C.P. and Chen, L. (2021). Low-cost approximation-based adaptive tracking control of output-constrained nonlinear systems, IEEE Transactions on Neural Networks and Learning Systems 32(11): 4890–4900.10.1109/TNNLS.2020.302607833052865 Search in Google Scholar

Zhang. Z (2008). Predictive function control of the single-link manipulator with flexible joint, 2008 IEEE International Conference on Automation and Logistics, Qingdao, China, pp. 1184–1188. Search in Google Scholar

Zong, C., Ji, Z., Tian, L. and Zhang, Y. (2019). Distributed multi-robot formation control based on bipartite consensus with time-varying delays, IEEE Access 7: 144790–144798.10.1109/ACCESS.2019.2942642 Search in Google Scholar

Zou, W., Shi, P., Xiang, Z. and Shi, Y. (2020). Finite-time consensus of second-order switched nonlinear multi-agent systems, IEEE Transactions on Neural Networks and Learning Systems 31(5): 1757–1762.10.1109/TNNLS.2019.292088031265417 Search in Google Scholar