Abstract
This paper studies consensus of heterogeneous multi-agent systems composed of first-order and second-order dynamic based on event-triggered mechanism. Firstly, based on event-triggered control protocols are designed for both leaderless and leader-follower heterogeneous systems. By using Lyapunov theory and bilinear matrix inequalities (BMIs), the sufficient conditions are obtained to guarantee the consensus of heterogeneous multi-agent systems. Meanwhile, the Zeno behavior is excluded and a positive lower triggered bound be found between two consecutive actuation updates. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed event-triggered consensus control.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
OlfatiSaber R, Murray R (2004) Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Autom Control 49(9):1520–1533
Lin P, Jia Y (2009) Consensus of second-order discrete-time multiagent systems with nonuniform time-delays and dynamicallychanging topologies. Automatica 45(9):2154–2158
Zhang Y, Tian Y (2010) Consensus of data-sampled multi-agent systems with random communication delay packet loss. IEEE Trans Autom Control 55(4):939–943
Zheng Y, Zhu Y, Wang L (2011) Consensus of heterogeneous multi-agent systems. IET Control Theory Appl 15(16):1881–1888
Tian Y, Zhang Y (2012) High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica 48(6):1205–1212
Huang WC, Zeng JP, Sun HF (2015) Robust consensus for linear multi-agentsystems with mixed uncertainties. Syst Control Lett 76:56–65
Wang X, Lemmon MD (2011) Event-triggering in distributed networked control systems. IEEE Trans Autom Control 56(3):586–601
Lehmann D, Lunze J (2012) Event-based control with communication delays and packet losses. Int J Control 85(5):563–577
Hu J, Chen G, Li H (2011) Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays. Kybernetika 47(4):630–643
Huang N,Duan Z, Zhao Y (2014) Event-triggered consensus for heterogeneous multi-agent systems. The 33rd Chinese Control Conference, pp 1259–1264
Yin X, Yue D, Hu S (2013) Event-triggered consensus of heterogeneous multi-agent systems with double-integrator dynamics. J Franklin Inst 350(3):651–669
Ren W, Beard R (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50(5):655–661
Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 61603414.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Yan, Z., Wang, R. (2018). Consensus of Heterogeneous Multi-agent Systems Based on Event-Triggered. In: Deng, Z. (eds) Proceedings of 2017 Chinese Intelligent Automation Conference. CIAC 2017. Lecture Notes in Electrical Engineering, vol 458. Springer, Singapore. https://doi.org/10.1007/978-981-10-6445-6_42
Download citation
DOI: https://doi.org/10.1007/978-981-10-6445-6_42
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6444-9
Online ISBN: 978-981-10-6445-6
eBook Packages: EngineeringEngineering (R0)