Abstract
In this paper, the observer-based \(H_{\infty }\)-consensus control problem is studied for multi-agent systems (MASs) under the weighted try-once-discard (WTOD) communication protocol. The WTOD protocol is implemented in the channel from observer to controller to schedule the data transmissions among the agents. Under such a protocol, for one agent, only one neighboring agent’s information is received at each time instant. First, the state observers are designed based on the measurement outputs to estimate the states of the agents. Then, consensus controllers are designed based on the estimates from the observers. The sufficient condition is obtained such that the \(H_{\infty }\)-consensus performance index is guaranteed. The parameters of the observers and the controllers are then calculated from certain matrix inequalities. Finally, a numerical example is provided to verify the effectiveness and feasibility of the method proposed in this paper.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Shi, T.F., et al.: Sequence to sequence multi-agent reinforcement learning algorithm. Pattern Recognit. Artif. Intell. 34(3), 206–213 (2021)
Ho, F., et al.: Decentralized multi-agent path finding for UAV traffic management. IEEE Trans. Intell. Transp. Syst. 2(23), 1–12 (2020)
Nguyen, B.M., et al.: Longitudinal modelling and control of in-wheel-motor electric vehicles as multi-agent systems. Energies 13(20), 5437–5464 (2020)
Gao, C., et al.: Consensus control of linear multiagent systems under actuator imperfection: when saturation meets fault. IEEE Trans. Syst. Man Cybern. Syst. 52(4), 2651–2663 (2021). https://doi.org/10.1109/TSMC.2021.3050370
Xu, W.Y., et al.: Finite horizon consensus for multi-agent systems with redundant channels via an observer-type event-triggered scheme. IEEE Trans. Cybern. 48(5), 1567–1576 (2018)
Zou, L., et al.: Communication-protocol-based analysis and synthesis of networked systems: progress, prospects and challenges. Int. J. Syst. Sci. 52(14), 3013–3034 (2021)
Li, X.R., et al.: Set-membership filtering for piecewise linear systems with censored measurements under Round-Robin protocol. Int. J. Syst. Sci. 51(9), 1571588 (2020)
Song, J.B., et al.: Finite-horizon distributed \(H_{\infty }\)-consensus control of time-varying multi-agent systems with Round-Robin protocol. Neurocomputing 364, 219–226 (2019)
Zhu, K., et al.: On \(\ell _{2}\)-\(\ell _{\infty }\) output-feedback control scheduled by stochastic communication protocol for two-dimensional switched systems. Int. J. Syst. Sci. 52(14), 2961–2976 (2021)
Zou, L., et al.: Finite-horizon \(H_{\infty }\)-consensus control of time-varying multi-agent systems with stochastic communication protocol. IEEE Trans. Cybern. 47(8), 1830–1840 (2017)
Wang, D., et al.: Finite-horizon filtering for complex networks with state saturations: the weighted try-once-discard protocol. Int. J. Robust Nonlinear Control 29(7), 2096–2111 (2019)
Wen, G.G., et al.: Observer-based output consensus of leader-following fractional-order heterogeneous nonlinear multi-agent systems. Int. J. Control 10(93), 2516–2524 (2019)
Xie, X.X., et al.: Observer-based consensus control of nonlinear multi-agent systems under semi-Markovian switching topologies and cyber attacks. Int. J. Robust Nonlinear Control 30, 5510–5528 (2020)
Zhang, J.N., et al.: Observer-based non-fragile \(H_{\infty }\)-consensus control for multi-agent systems under deception attacks. Int. J. Syst. Sci. 52(6), 1223–1236 (2021)
Xiong, T.Y., et al.: Observer-based adaptive fixed-time formation control for multi-agent systems with unknow ncertainties. Neurocomputing 432, 506–517 (2021)
Han, F., et al.: Outlier-resistant observer-based \(H_{\infty }\)-consensus control for multi-rate multi-agent systems. J. Franklin Inst. 358(17), 8914–8928 (2021)
Horn, R.A., Johnson, C.R.: Topics in Matrix Analysis. Cambridge University Press, Cambridge (1994)
Han, F., et al.: Finite-horizon \(H_{\infty }\)-consensus control for multi-agent systems with random parameters: the local condition case. J. Franklin Inst. 354(14), 6078–6097 (2017)
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grants U21A2019, the Fundamental Research Funds for Undergraduate Universities affiliated to Heilongjiang Province of China under Grant 2020QNL-04 and the Guiding Science and Technology Plan Project of Daqing of China under Grant zd-2019-06.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Song, J., Jiao, Y., Yang, F., Xu, C. (2022). Observer-Based \(H_{\infty }\)-Consensus Control of Multi-agent Systems Under WTOD Protocol. In: Liu, H., et al. Intelligent Robotics and Applications. ICIRA 2022. Lecture Notes in Computer Science(), vol 13457. Springer, Cham. https://doi.org/10.1007/978-3-031-13835-5_46
Download citation
DOI: https://doi.org/10.1007/978-3-031-13835-5_46
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-13834-8
Online ISBN: 978-3-031-13835-5
eBook Packages: Computer ScienceComputer Science (R0)