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Discrete Multi-agent Systems \(H_{\infty }\) Containment Control with Event-Triggered Mechanism

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Proceedings of 2022 International Conference on Autonomous Unmanned Systems (ICAUS 2022) (ICAUS 2022)

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Abstract

This paper solves the event-triggered \(H_\infty \) containment control problems for discrete multi-agent systems under directed topological graph. Considering the limitation of network bandwidth, only necessary data can be transmitted through conditional judgment. In order to observe the position of the convex hull formed by the leader’s movement, a dynamic compensator is introduced into the controller design of followers. Under the asynchronism schedules and the observer, an event-triggered distributed algorithm is derived to ensure that the follower’s state eventually converges to the weighted state of each leader. Then, by constructing Lyapunov function, the sufficient conditions that ensure the stability of the multi-agent systems are given. The feasibility of the obtained results is verified by a simulation example.

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References

  1. Liu, H., Cheng, L., Tan, M., et al.: Containment control of continuous-time linear multi-agent systems with aperiodic sampling. Automatica 57, 78–84 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  2. Xiao, W., Ren, H., Zhou, Q., et al.: Distributed finite-time containment control for nonlinear multiagent systems with mismatched disturbances. IEEE Trans. Cybern. 52, 6939–6948 (2021)

    Article  Google Scholar 

  3. Ma, Y.S., Che, W.W., Deng, C., et al.: Observer-based event-triggered containment control for MASs under DoS attacks. IEEE Trans. Cybern. 52, 13156–13167 (2021)

    Article  Google Scholar 

  4. Ji, M., Ferrari-Trecate, G., Egerstedt, M., et al.: Containment control in mobile networks. IEEE Trans. Autom. Control 53(8), 1972–1975 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Wang, D., Wang, W.: Necessary and sufficient conditions for containment control of multi-agent systems with time delay. Automatica 103, 418–423 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  6. Huang, W., Liu, H., Huang, J.: Distributed robust containment control of linear heterogeneous multi-agent systems: an output regulation approach. IEEE/CAA J. Automatica Sinica 9(5), 864–877 (2022)

    Article  Google Scholar 

  7. Zhang, T., Li, X.: Input/output-to-state stability of impulsive switched systems with time delays. IEEE Access 7, 109518–109527 (2019)

    Article  Google Scholar 

  8. Yang, R., Zheng, W.X.: Output-based event-triggered predictive control for networked control systems. IEEE Trans. Industr. Electron. 67(12), 10631–10640 (2019)

    Article  Google Scholar 

  9. Peng, C., Han, Q.L., Yue, D.: A discrete event-triggered communication scheme for networked TS fuzzy systems. In: IECON 2011-37th Annual Conference of the IEEE Industrial Electronics Society, pp. 2282–2287. IEEE (2011)

    Google Scholar 

  10. Ge, X., Han, Q.L., Wang, Z.: A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks. IEEE Trans. Cybern. 49(1), 171–183 (2017)

    Article  Google Scholar 

  11. Haghshenas, H., Badamchizadeh, M.A., Baradarannia, M.: Containment control of heterogeneous linear multi-agent systems. Automatica 54, 210–216 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  12. Chen, W., Ding, D., Ge, X., et al.: \(\cal{H} _ {\infty } \) containment control of multiagent systems under event-triggered communication scheduling: the finite-horizon case. IEEE Trans. Cybern. 50(4), 1372–1382 (2018)

    Article  Google Scholar 

  13. Yang, J., Xiao, F., Ma, J.: Model-based edge-event-triggered containment control under directed topologies. IEEE Trans. Cybern. 49(7), 2556–2567 (2018)

    Article  Google Scholar 

  14. Yang, R., Zhang, H., Feng, G., et al.: Distributed event-triggered adaptive control for cooperative output regulation of heterogeneous multiagent systems under switching topology[J]. IEEE Trans. Neural Networks Learn. Syst. 29(9), 4347–4358 (2017)

    Article  Google Scholar 

  15. Li, Z., Ren, W., Liu, X., et al.: Distributed containment control of multisystems with general linear dynamics in the presence of multiple leaders. Int. J. Robust Nonlinear Control 23(5), 534–547 (2013)

    Article  MATH  Google Scholar 

  16. Zuo, S., Song, Y., Lewis, F.L., et al.: Adaptive output containment control of heterogeneous multi-agent systems with unknown leaders. Automatica 92, 235–239 (2018)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Xiaoyuan Zheng .

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© 2023 Beijing HIWING Sci. and Tech. Info Inst

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Peng, Z., Zheng, X., Kong, P., Zhang, L. (2023). Discrete Multi-agent Systems \(H_{\infty }\) Containment Control with Event-Triggered Mechanism. In: Fu, W., Gu, M., Niu, Y. (eds) Proceedings of 2022 International Conference on Autonomous Unmanned Systems (ICAUS 2022). ICAUS 2022. Lecture Notes in Electrical Engineering, vol 1010. Springer, Singapore. https://doi.org/10.1007/978-981-99-0479-2_207

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