References
Sun H, Liu Y G, Li F Z, et al. Distributed LQR optimal protocol for leader-following consensus. IEEE Trans Cybern, 2019, 49: 3532–3546
Cao Y C, Ren W. Optimal linear-consensus algorithms: an LQR perspective. IEEE Trans Syst Man Cybern B, 2010, 40: 819–830
Zhang F F, Wang W, Zhang H S. Design and analysis of distributed optimal controller for identical multiagent systems. Asian J Control, 2015, 17: 263–273
Nguyen D H. A sub-optimal consensus design for multiagent systems based on hierarchical LQR. Automatica, 2015, 55: 88–94
Jiao J J, Trentelman H L, Camlibel M K. A suboptimality approach to distributed linear quadratic optimal control. 2018. ArXiv: 1803.02682
Bauso D, Giarré L, Pesenti R. Non-linear protocols for optimal distributed consensus in networks of dynamic agents. Syst Control Lett, 2006, 55: 918–928
Modares H, Lewis F L, Kang W, et al. Optimal synchronization of heterogeneous nonlinear systems with unknown dynamics. IEEE Trans Automat Contr, 2018, 63: 117–131
Feng T, Zhang H G, Luo Y H, et al. Globally optimal distributed cooperative control for general linear multi-agent systems. Neurocomputing, 2016, 203: 12–21
Movric K H, Lewis F L. Cooperative optimal control for multi-agent systems on directed graph topologies. IEEE Trans Automat Contr, 2014, 59: 769–774
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 61873146, 61703237) and Taishan Scholars Climbing Program of Shandong Province.
Author information
Authors and Affiliations
Corresponding author
Additional information
Supporting information
Appendixes A and B. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.
Supplementary File
Rights and permissions
About this article
Cite this article
Sun, H., Liu, Y. & Li, F. Distributed optimal consensus of second-order multi-agent systems. Sci. China Inf. Sci. 64, 209201 (2021). https://doi.org/10.1007/s11432-018-9879-3
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-018-9879-3