Abstract
The problem of distributed event-triggered mean square consensus for networked Lagrangian systems with communication delays and semi-Markov switching topologies is considered in this brief. By considering event-triggered sampling control with stochastic disturbances, the distributed stochastic consensus protocol is proposed. Furthermore, by using stochastic analysis theory, with a combination of both algebraic graph tools and linear matrices inequalities (LMIs), a general delay-dependent criterion is presented for solving stochastic consensus problems in terms of mean square under the semi-Markov switching network topology structure with communication delays. Meanwhile, Zeno behavior of the triggering time sequences is also avoided. Subsequently, a typical example of four manipulators with two links is provided to demonstrate the developed consensus methodology in this brief.
National Science Foundation of China (Nos. 51875331 and 11672169).
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References
Liu, J., Ji, J.C., Zhou, J., Xiang, L., Zhao, L.Y.: Adaptive group consensus in uncertain networked Euler-Lagrange systems under directed topology. Nonlinear Dyn. 82(3), 1145–1157 (2015)
Yu, J.W., Ji, J.C., Miao, Z.H., Zhou, J.: Formation control with collision avoidance for uncertain networked Lagrangian systems via adaptive gain techniques. IET Control Theory A. 12(10), 1393–1401 (2018)
Miao, Z.H., Liu, J., Wang, G.Q., Zhou, J.: Group consensus in uncertain networked Euler-Lagrange systems with stochastic disturbances. Scientia Sinica Informationis 46(11), 1608–1620 (2016)
Dimarogonas, D.V., Frazzoli, E.F., Johansson, K.H.: Distributed event-triggered control for multi-agent systems. IEEE Trans. Autom. Control 57(5), 1291–1297 (2012)
Huang, N., Duan, Z.S., Zhao, Y.: Distributed consensus for multiple Euler-Lagrange systems: an event-triggered approach. Sci. China Technol. Sci. 59(1), 33–44 (2016)
Zhou, Z., Wang, H.B., Hu, Z.Q., Xue, X.J.: Event-triggered finite-time consensus of multiple Euler Lagrange systems under Markovian switching topologies. Int. J. Sys. Sci. 49(8), 1641–1653 (2018)
Xu, Z.W., Su, H.Y., Shi, P., Wu, Z.G.: Asynchronous \(H_{\infty }\) control of semi-Markov jump linear systems. Appl. Math. Comput. 349, 270–280 (2019)
Kelly, R., Davila, V.S., Perez, J.A.L.: Control of Robot Manipulators in Joint Space. Springer, Heidelberg (2006)
Huang, L.R., Deng, F.Q.: Razumikhin-type theorems on stability of stochastic retarded systems. Int. J. Syst. Sci. 40(1), 73–80 (2009)
Yao, X.Y., Ding, H.F., Ge, M.F.: Fully distributed control for task-space formation tracking of nonlinear heterogeneous robotic systems. Nonlinear Dyn. 96(1), 87–105 (2019)
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Pan, S., Ye, Z., Xiang, L., Zhou, J. (2021). Event-Triggered Stochastic Consensus for Networked Lagrangian Systems. In: Jia, Y., Zhang, W., Fu, Y. (eds) Proceedings of 2020 Chinese Intelligent Systems Conference. CISC 2020. Lecture Notes in Electrical Engineering, vol 706. Springer, Singapore. https://doi.org/10.1007/978-981-15-8458-9_17
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DOI: https://doi.org/10.1007/978-981-15-8458-9_17
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