Scaled consensus of hybrid multi-agent systems via impulsive protocols

Volume 36, Issue 3, pp 275--289 https://dx.doi.org/10.22436/jmcs.036.03.03

Publication Date: August 06, 2024 Submission Date: April 01, 2024 Revision Date: May 09, 2024 Accteptance Date: July 08, 2024

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Authors

M. Donganont - Department of Mathematics‎, ‎School of Science, University of Phayao, Phayao 56000, Thailand.

Abstract

‎This paper investigates scaled consensus problems of hybrid multi-agent systems(HMASs)‎, ‎which consist of a group of continuous-time(CT) and discrete-time(DT) dynamics agents‎. ‎Three kinds of consensus protocols have been proposed to solve scaled consensus problems‎, ‎respectively‎. ‎The first two consensus protocols are designed for solving the scaled consensus problems where the CT-agents can only communicate with their neighbors in the sampling time \(t_k\)‎. ‎In addition‎, ‎the impulsive consensus protocols are designed for solving scaled consensus problems of HMASs‎. ‎Finally‎, ‎some numerical examples are provided to illustrate the effectiveness of the theoretical results‎.

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Keywords

• Hybrid multi-agent system
• spanning tree
• consensus problem
• scaled consensus
• impulsive control

MSC

•  93A16
•  93B70
•  93C27
•  93D50

References

• [1] H. D. Aghbolagh, E. Ebrahimkhani, F. Hashemzadeh, Scaled consensus tracking under constant time delay, IFACPapersOnLine, 49 (2016), 240–243
  • View Article
  • Google Scholar


• [2] Y. Cao, W. Yu, W. Ren, G. Chen, An overview of recent progress in the study of distributed multi-agent coordination, IEEE Trans. Ind. Inform., 9 (2013), 427–438
  • View Article
  • Google Scholar
  • MATH


• [3] S. Chen, Z. Zou, Z. Zhang, L. Zhao, Fixed-time scaled consensus of multi-agent systems with input delay, J. Franklin Inst., 360 (2023), 8821–8840
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [4] J. Cortes, S. Martinez, T. Karatas, F. Bullo, Coverage control for mobile sensing networks, IEEE Trans. Robot. Autom., 20 (2004), 243–255
  • View Article
  • Google Scholar


• [5] M. Donganont, X. Liu, Scaled consensus problems of multi agent systems via impulsive protocols, Appl. Math. Model., 116 (2023), 532–546
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [6] C. Godsil, G. Royle, Algebraic graph theory, Springer-Verlag, New York (2001)
  • View Article
  • MathSciNet
  • Google Scholar


• [7] Z.-H. Guan, Y. Wu, G. Feng, Consensus analysis based on impulsive systems in multiagent networks, IEEE Trans. Circuits Syst. I. Regul. Pap., 59 (2012), 170–178
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [8] R. A. Horn, C. R. Johnson, Matrix analysis, Cambridge University Press, Cambridge (2013)
  • View Article
  • Google Scholar


• [9] A. Jadbabaie, J. Lin, A. S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automat. Control, 48 (2003), 988–1001
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [10] B. J. Karaki, M. S. Mahmoud, Scaled consensus design for multiagent systems under DoS attacks and communicationdelays, J. Franklin Inst., 358 (2021), 3901–3918
  • View Article
  • MathSciNet
  • Google Scholar


• [11] R. Olfati-Saber, J. A. Fax, R. M. Murray, Consensus and Cooperation in Networked Multi-Agent Systems, Proc. IEEE, 95 (2007), 215–233
  • View Article
  • Google Scholar


• [12] W. Ren, R. W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Trans. Automat. Control, 50 (2005), 655–661
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [13] S. Roy, Scaled consensus, Automatica J. IFAC, 51 (2015), 259–262
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [14] K. Sugihara, I. Suzuki, Distributed motion coordination of multiple mobile robots, In: Proceedings 5th IEEE International Symposium on Intelligent Control, IEEE, (1990), 138–143
  • View Article
  • Google Scholar


• [15] Y.-P. Tian, C.-L. Liu, Consensus of multi-agent systems with diverse input and communication delays, IEEE Trans. Automat. Control, 53 (2008), 2122–2128
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [16] C. Wang, Y. Du, Z. Liu, A. Zhang, J. Qiu, X. Liang, Scaled consensus for second-order multi-agent systems subject to communication noise with stochastic approximation-type protocols, ISA Trans., 144 (2024), 201–210
  • View Article
  • Google Scholar


• [17] M. Xing, F. Deng, Scaled consensus for multi-agent systems with communication time delays, Trans. Inst. Meas. Control, 40 (2018), 2651–2659
  • View Article
  • Google Scholar


• [18] W. Yang, Z. Shi, Y. Zhong, Distributed robust adaptive formation control of multi-agent systems with heterogeneous uncertainties and directed graphs, Automatica J. IFAC, 157 (2023), 8 pages
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [19] W. Yu, G. Chen, M. Cao, Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems, Automatica J. IFAC, 46 (2010), 1089–1095
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [20] Y. Zheng, J. Ma, L. Wang, Consensus of Hybrid Multi-Agent Systems, IEEE Trans. Neural Netw. Learn. Syst., 29 (2019), 1359–1365
  • View Article
  • Google Scholar