Fuzzy adaptive finite-time consensus tracking control for nonlinear multi-agent systems

References

• Bai, W. W., Li, T. S., & Tong, S. C (2020). NN reinforcement learning adaptive control for a class of nonstrict-feedback discrete-time systems. IEEE Transactions on Cybernetics, 50(11), 4573–4584. https://doi.org/10.1109/TCYB.2020.2963849
   PubMed Web of Science ®Google Scholar
• Bhat, S. P., & Bernstein, D. S. (1998). Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Transactions on Automatic Control, 43(5), 678–682. https://doi.org/10.1109/9.668834
   Web of Science ®Google Scholar
• Bhat, S. P., & Bernstein, D. S. (2000). Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization, 38(3), 751–766. https://doi.org/10.1137/S0363012997321358
   Web of Science ®Google Scholar
• Bidram, A., Davoudi, A., Lewis, F. L., & Qu, Z. H. (2013). Secondary control of microgrids based on distributed cooperative control of multi-agent systems. IET Generation. Transmission and Distribution, 7(8), 822–831. https://doi.org/10.1049/iet-gtd.2012.0576.
   Web of Science ®Google Scholar
• Ding, S. H., Li, S. H., & Li, Q. (2009). Stability analysis for a second-order continuous finite-time control system subject to a disturbance. Journal of Control Theory and Applications, 7(3), 271–276. https://doi.org/10.1007/s11768-009-8015-4
   Google Scholar
• Du, H. B., Wen, G. H., Cheng, Y. Y., He, Y. G., & Jia, R. (2017). Distributed finite-time cooperative control of multiple high-order nonholonomic mobile robots. IEEE Transactions on Neural Networks and Learning Systems, 28(12), 2998–3006. https://doi.org/10.1109/TNNLS.2016.2610140
   PubMed Web of Science ®Google Scholar
• Han, S. I. (2018). Prescribed consensus and formation error constrained finite-time sliding mode control for multi-agent mobile robot systems. IET Control Theory and Applications, 12(2), 282–290. https://doi.org/10.1049/iet-cta.2017.0351
   Web of Science ®Google Scholar
• Hardy, G., Littlewood, J., & Polya, G. (1952). Inequalities. Cambridge University Press.
   Google Scholar
• He, X. Y. (2015). Distributed finite-time consensus tracking control for second-order nonlinear multi-agent systems. Proceedings of the 34th Chinese control conference, July, Hangzhou, China (pp. 681–686). https://doi.org/10.1109/ChiCC.2015.7259717
   Google Scholar
• He, W., & Cao, J. (2011). Consensus control for high-order multi-agent systems. IET Control Theory and Applications, 5(1), 231–238. https://doi.org/10.1049/iet-cta.2009.0191
   Web of Science ®Google Scholar
• Hong, Y., Huang, J. Y., & Xu, S. (2001). On an output feedback finite-time stabilization problem. IEEE Transactions on Automatic Control, 46(2), 305–309. https://doi.org/10.1109/9.905699
   Web of Science ®Google Scholar
• Hua, C. C., You, X. X., & Guan, P. (2016). Leader-following consensus for a class of high-order nonlinear multi-agent systems. Automatica, 73, 138–144. https://doi.org/10.1016/j.automatica.2016.06.025
   Web of Science ®Google Scholar
• Huang, J. S., Wen, C. Y., Wang, W., & Song, Y.-D. (2015). Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems. Automatica, 51, 292–301. https://doi.org/10.1016/j.automatica.2014.10.093
   Web of Science ®Google Scholar
• Huang, J. S., Wen, C. Y., Wang, W., & Song, Y.-D. (2016). Design of adaptive finite-time controllers for nonlinear uncertain systems based on given transient specifications. Automatica, 69, 395–404. https://doi.org/10.1016/j.automatica.2015.08.013
   Web of Science ®Google Scholar
• Li, S. H., Du, H. B., & Lin, X. Z. (2011). Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica, 47(8), 1706–1712. https://doi.org/10.1016/j.automatica.2011.02.045
   Web of Science ®Google Scholar
• Li, Z. X., & Ji, H. B. (2018). Finite-time consensus and tracking control of a class of nonlinear multiagent systems. IEEE Transactions on Automatic Control, 63(12), 4413–4420. https://doi.org/10.1109/TAC.2018.2845677.
   Web of Science ®Google Scholar
• Li, Y. M., Li, K. W., & Tong, S. C. (2019). Finite-time adaptive fuzzy output feedback dynamic surface control for MIMO nonstrict feedback systems. IEEE Transactions on Fuzzy Systems, 27(1), 96–110. https://doi.org/10.1109/TFUZZ.2018.2868898
   Web of Science ®Google Scholar
• Li, Y. M., Li, K. W., & Tong, S. C. (2020). Adaptive neural network finite-time control for multi-input and multi-output nonlinear systems with positive powers of odd rational numbers. IEEE Transactions on Neural Networks and Learning Systems, 31(7), 2532–2543. https://doi.org/10.1109/TNNLS.2019.2933409
   PubMed Web of Science ®Google Scholar
• Liu, W., Ma, Q., Wang, Q., & Feng, H. (2019). Finite-time consensus control of heterogeneous nonlinear MASs with uncertainties bounded by positive functions. Neurocomputing, 330, 29–38. https://doi.org/10.1016/j.neucom.2018.10.048
   Web of Science ®Google Scholar
• Polycarpou, M. M., & P. A. Ioannou (1996). A robust adaptive nonlinear control design. Automatica, 32(3), 423–427. https://doi.org/10.1016/0005-1098(95)00147-6.
   Web of Science ®Google Scholar
• Qian, C. J., & Lin, W. (2001). Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. System and Control Letters, 42(3), 185–200. https://doi.org/10.1016/S0167-6911(00)00089-X
   Web of Science ®Google Scholar
• Schenato, L., & Fiorentin, F. (2011). Average TimeSynch: A consensus-based protocol for clock synchronization in wireless sensor networks. Automatica, 47(9), 1878–1886. https://doi.org/10.1016/j.automatica.2011.06.012.
   Web of Science ®Google Scholar
• Seo, S., Shim, H., & Seo, J. H. (2011). Finite-time stabilizing dynamic control of uncertain multi-input linear systems. IMA Journal of Mathematical Control and Information, 28(4), 525–537. https://doi.org/10.1093/imamci/dnr017
   Web of Science ®Google Scholar
• Shi, S., Feng, H., Liu, W., & Zhuang, G. (2019). Finite-time consensus of high-order heterogeneous multi-agent systems with mismatched disturbances and nonlinear dynamics. Nonlinear Dynamics, 96(2), 1317–1333.https://doi.org/10.1007/s11071-019-04856-3
   Web of Science ®Google Scholar
• Tong, S. C., Min, X., & Li, Y. M. (2020). Observer-based adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown control gain functions. IEEE Transactions on Cybernetics, 50(9), 3903–3913. https://doi.org/10.1109/TCYB.2020.2977175
   PubMed Web of Science ®Google Scholar
• Wang, L. X., & Mendel, J. M. (1992). Fuzzy basis functions, universal approximation, and orthogonal least-squares learning. IEEE Transactions on Neural Networks, 3(5), 807–814. https://doi.org/10.1109/72.159070
   PubMed Web of Science ®Google Scholar
• Wang, Y. J., Song, Y. D., Krstic, M., & Wen, C. Y. (2016a). Fault-tolerant finite time consensus for multiple uncertain nonlinear mechanical systems under single-way directed communication interactions and actuation failures. Automatica, 63, 374–383. https://doi.org/10.1016/j.automatica.2015.10.049
   Web of Science ®Google Scholar
• Wang, Y. J., Song, Y. D., Krstic, M., & Wen, C. Y. (2016b). Adaptive finite time coordinated consensus for high-order multi-agent systems: Adjustable fraction power feedback approach. Information Sciences, 372(C), 392–406. https://doi.org/10.1016/j.ins.2016.08.054
   Web of Science ®Google Scholar
• Wang, W., Wen, C. Y., & Huang, J. S. (2017). Distributed adaptive asymptotically consensus tracking control of nonlinear multi-agent systems with unknown parameters and uncertain disturbances. Automatica, 77, 133–142. https://doi.org/10.1016/j.automatica.2016.11.019
   Web of Science ®Google Scholar
• Wang, L., & Xiao, F. (2010). Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control, 55(4), 950–955. https://doi.org/10.1109/TAC.2010.2041610
   Web of Science ®Google Scholar
• Wang, H., Yu, W., Ding, Z., & Yu, X. (2019). Tracking consensus of general nonlinear multi-agent systems with external disturbances under directed networks. IEEE Transactions on Automatic Control, 64(11), 4772–4779. https://doi.org/10.1109/TAC.2019.2905512
   Web of Science ®Google Scholar
• Yu, W., Chen, G., Cao, M., & Kurths, J. (2010). Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 40(3), 881–891. https://doi.org/10.1109/TSMCB.2009.2031624
   PubMed Web of Science ®Google Scholar
• Zhang, H. W., Lewis, F. L., & Qu, Z. (2012). Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs. IEEE Transactions on Industrial Electronics, 59(7), 3026–3041. https://doi.org/10.1109/TIE.2011.2160140
   Web of Science ®Google Scholar
• Zhang, H. G., Liu, Y., Dai, J., & Wang, Y. C. (2020). Command filter finite-time control for a class of uncertain nonlinear systems with hysteresis. IEEE Transactions on Fuzzy Systems, 1–1. https://doi.org/10.1109/TFUZZ.2020.3003499
   Web of Science ®Google Scholar
• Zhang, H. G., Liu, Y., & Wang, Y. C. (2020). Observer-based finite-time adaptive fuzzy control for nontriangular nonlinear systems with full-state constraints. IEEE Transactions on Cybernetics, 1–11. https://doi.org/10.1109/TCYB.2020.2984791
   Web of Science ®Google Scholar
• Zhang, J., Zhang, H., & Feng, T. (2018). Distributed optimal consensus control for nonlinear multiagent system with unknown dynamic. IEEE Transactions on Neural Networks and Learning Systems, 29(8), 3339–3348. https://doi.org/10.1109/TNNLS.2017.2728622
   PubMed Web of Science ®Google Scholar
• Zhao, L., & Jia, Y. M. (2015). Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics. Applied Mathematics and Computation, 270, 278–290. https://doi.org/10.1016/j.amc.2015.08.048
   Web of Science ®Google Scholar