Finite Time Dynamic Consensus Control for Heterogeneous Multi-agent Systems via Event-Triggered and Pinning Methods

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Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 934))

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Abstract

Based on event-triggered control (ETC) and pinning control methods, this paper explores the finite time dynamic consensus (FTDC) issue of heterogeneous multi-agent systems (HMASs) composed of first-order and second-order agents. Firstly, a novel control protocol is designed to realize the FTDC of the system. Compared with periodic sampling control, in order to further reduce the update frequency of the controller, a fully distributed ETC is proposed. When the state error between agents meets the event-triggered condition, the controller will be updated. With the introduction of pinning control, the range of pinning gain of the second-order agents is determined. Eventually, the Lyapunov stability theory is adopted for theoretical analysis, and the correctness of the conclusion is verified.

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References

  1. Park, B., Yoo, S., Park, J., et al.: A simple adaptive control approach for trajectory tracking of electrically driven nonholonomic mobile robots. IEEE Trans. Control Syst. Technol. 18(5), 1199–1206 (2010)

    Article  Google Scholar 

  2. Lu, Q., Han, Q., Zhang, B., Liu, D., et al.: Cooperative control of mobile sensor networks for environmental monitoring: an event-triggered finite-time control scheme. IEEE Trans. Cybern. 47(12), 4134–4147 (2017)

    Article  Google Scholar 

  3. Prudden, S., Fisher, A., Marino, M., Mohamed, A., Watkins, S., et al.: Measuring wind with small unmanned aircraft systems. J. Wind Eng. Ind. Aerodyn. 176, 197–210 (2018)

    Article  Google Scholar 

  4. Zhang, Y., Li, H., Sun, J., et al.: Cooperative adaptive event-triggered control for multiagent systems with actuator failures. IEEE Trans. Syst. Man Cybern. 49(9), 1759–1768 (2019)

    Article  Google Scholar 

  5. Duan, P., Liu, K., Huang, N., et al.: Event-based distributed tracking control for second-order multiagent systems with switching networks. IEEE Trans. Syst. Man Cybern. 50(9), 3220–3230 (2020)

    Article  Google Scholar 

  6. Zou, W., Shi, P., **ang, Z., et al.: Finite-time consensus of second-order switched nonlinear multi-agent systems. IEEE Trans. Neural Netw. Learn. Syst. 31(5), 1757–1762 (2020)

    Article  MathSciNet  Google Scholar 

  7. Hu, W., Liu, L., et al.: Output consensus of heterogeneous linear multi-agent systems by distributed event-triggered/self-triggered strategy. IEEE Trans. Cybern. 47(8), 1914–1924 (2017)

    Article  Google Scholar 

  8. Shi, Y., Yan, H., Chen, S., Zhan, X., et al.: Distributed event-triggered consensus control for leaderless heterogeneous multiagent systems. J. Franklin Inst. 357(6), 3219–3234 (2020)

    Article  MathSciNet  Google Scholar 

  9. Li, X., Yu, Z., Li, Z., et al.: Group consensus via pinning control for a class of heterogeneous multi-agent systems with input constraints. Inf. Sci. 542, 247–262 (2021)

    Article  MathSciNet  Google Scholar 

  10. Liu, W., Ma, Q., Wang, Q., et al.: Finite-time consensus control of heterogeneous nonlinear MASs with uncertainties bounded by positive functions. Neurocomputing 330(22), 29–38 (2019)

    Article  Google Scholar 

  11. Duan, J., Zhang, H., Cai, Y., et al.: Finite-time time-varying output formation-tracking of heterogeneous linear multi-agent systems. J. Franklin Inst. 357(2), 926–941 (2020)

    Article  MathSciNet  Google Scholar 

  12. Ling, J., Wang, R.: Finite-time consensus of heterogeneous multi-gent system with external disturbances. In: China Automatin Congress (CAC), pp. 1478–1483 (2017)

    Google Scholar 

  13. Zhu, Y., Guan, X., Luo, X.: Finite-time consensus of heterogeneous multi-agent systems with linear and nonlinear dynamics. Act. Auto. Sinica 40(11), 2618–2624 (2014)

    Article  Google Scholar 

  14. Zamanian, M., Abdollahi, F., Seyyed, K., et al.: Finite-time consensus of heterogeneous unknown nonlinear multi-agent systems with external disturbances via event-triggered control. J. Vib. Control. (2021). https://doi.org/10.1177/1077546320948347

  15. Yadollahi, S., Atrianfar, H.: Finite-time event-triggered consensus of nonlinear heterogeneous multi-agent systems. In: 7th ICRoM, pp. 424–431 (2019)

    Google Scholar 

  16. Liu, X., **ao, J.-W., Chen, D., Wang, Y.-W.: Dynamic consensus of nonlinear time-delay multi-agent systems with input saturation: an impulsive control algorithm. Nonlinear Dyn. 97(2), 1699–1710 (2019). https://doi.org/10.1007/s11071-019-05098-z

    Article  MATH  Google Scholar 

  17. Li, Z., Duan, Z., Chen, G.: Dynamic consensus of linear multi-agent systems. IET Control Theory A 5(1), 19–28 (2011)

    Article  MathSciNet  Google Scholar 

  18. Franceschelli, M., Frasca, P.: Proportional dynamic consensus in open multi-agent systems. In: IEEE Conference on Decision and Control (CDC), pp. 900–905 (2018)

    Google Scholar 

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Acknowledgement

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61876200, 62072066 and 62006031, in part by the Major Scientific and Technological Research Program of Chongqing Municipal Education Commission under grant No. KJZD-M202100602 and in part by the Natural Science Foundation Project of Chongqing Science and Technology Commission under Grant Nos. cstc2018jcyjAX0112 and cstc2019jcyj-msxmX0545.

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Correspondence to Lianghao Ji .

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Ji, L., Lv, D., Zhang, C., Yang, S., Guo, X. (2023). Finite Time Dynamic Consensus Control for Heterogeneous Multi-agent Systems via Event-Triggered and Pinning Methods. In: Ren, Z., Wang, M., Hua, Y. (eds) Proceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control. Lecture Notes in Electrical Engineering, vol 934. Springer, Singapore. https://doi.org/10.1007/978-981-19-3998-3_144

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  • DOI: https://doi.org/10.1007/978-981-19-3998-3_144

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