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Consensus of Heterogeneous Multi-agent Systems Based on Event-Triggered

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Proceedings of 2017 Chinese Intelligent Automation Conference (CIAC 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 458))

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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.

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References

  1. 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

    Article  MATH  MathSciNet  Google Scholar 

  2. 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

    Article  MATH  MathSciNet  Google Scholar 

  3. 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

    Article  MATH  MathSciNet  Google Scholar 

  4. Zheng Y, Zhu Y, Wang L (2011) Consensus of heterogeneous multi-agent systems. IET Control Theory Appl 15(16):1881–1888

    Article  MathSciNet  Google Scholar 

  5. Tian Y, Zhang Y (2012) High-order consensus of heterogeneous multi-agent systems with unknown communication delays. Automatica 48(6):1205–1212

    Article  MATH  MathSciNet  Google Scholar 

  6. Huang WC, Zeng JP, Sun HF (2015) Robust consensus for linear multi-agentsystems with mixed uncertainties. Syst Control Lett 76:56–65

    Article  MATH  Google Scholar 

  7. Wang X, Lemmon MD (2011) Event-triggering in distributed networked control systems. IEEE Trans Autom Control 56(3):586–601

    Article  MATH  MathSciNet  Google Scholar 

  8. Lehmann D, Lunze J (2012) Event-based control with communication delays and packet losses. Int J Control 85(5):563–577

    Article  MATH  MathSciNet  Google Scholar 

  9. 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

    MATH  MathSciNet  Google Scholar 

  10. Huang N,Duan Z, Zhao Y (2014) Event-triggered consensus for heterogeneous multi-agent systems. The 33rd Chinese Control Conference, pp 1259–1264

    Google Scholar 

  11. 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

    Article  MATH  MathSciNet  Google Scholar 

  12. Ren W, Beard R (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans Autom Control 50(5):655–661

    Article  MATH  MathSciNet  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 61603414.

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Correspondence to Ronghao Wang .

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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

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  • DOI: https://doi.org/10.1007/978-981-10-6445-6_42

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6444-9

  • Online ISBN: 978-981-10-6445-6

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