Leader-following finite-time scaled consensus problems in multi-agent systems
-
1069
Downloads
-
2174
Views
Authors
M. Donganont
- School of Science, University of Phayao, Phayao 56000, Thailand.
Abstract
This work investigates finite-time scaled consensus problems in a network of multi-agent systems. By using the impulsive control methodology and finite-time control techniques, scaled consensus protocols for leaderless and leader-following cases are proposed, respectively. In addition, the finite-time scaled consensus protocol for multi-agent systems with external perturbations have been introduced. Finally, the numerical simulations are provided to illustrate the strength of our main results.
Share and Cite
ISRP Style
M. Donganont, Leader-following finite-time scaled consensus problems in multi-agent systems, Journal of Mathematics and Computer Science, 38 (2025), no. 4, 464--478
AMA Style
Donganont M., Leader-following finite-time scaled consensus problems in multi-agent systems. J Math Comput SCI-JM. (2025); 38(4):464--478
Chicago/Turabian Style
Donganont, M.. "Leader-following finite-time scaled consensus problems in multi-agent systems." Journal of Mathematics and Computer Science, 38, no. 4 (2025): 464--478
Keywords
- Finite-time scaled consensus
- multi-agent system
- impulsive control
- leader-following multi-agent system
- directed spanning tree
MSC
References
-
[1]
D. Bauso, L. Giarré, R. Pesenti, Non-linear protocols for optimal distributed consensus in networks of dynamic agents, Syst. Control Lett., 55 (2006), 918–928
-
[2]
L. Cheng, Y. Wang, Z.-G. Hou, M. Tan, Stochastic consensus of linear multi-agent systems: Communication noises and markovian switching topologies, In: The 26th Chinese Control and Decision Conference (2014 CCDC), IEEE, (2014), 274–279
-
[3]
M. H. Degroot, Reaching a consensus, J. Am. Stat. Assoc., 69 (1974), 118–121
-
[4]
M. Donganont, X. Liu, Scaled consensus problems of multi agent systems via impulsive protocols, Appl. Math. Model., 116 (2023), 532–546
-
[5]
X.-L. Feng, T.-Z. Huang, A finite-time consensus protocol of the multi-agent systems, Int. J. Math. Comput. Sci., 5 (2011), 357–359
-
[6]
V. Gazi, K. M. Passino, Swarm Coordination and Control Problems, Springer, Berlin, Heidelberg (2011)
-
[7]
C. Godsil, R. Gordon, Algebraic Graph Theory, Springer-Verlag, New York (2001)
-
[8]
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
-
[9]
G. Guglieri, F. Maroglio, P. Pellegrino, L. Torre, Design and development of guidance navigation and control algorithms for spacecraft rendezvous and docking experimentation, Acta Astronaut., 94 (2014), 395–408
-
[10]
R. A. Horn, C. R. Johnson, Matrix Analysis, Cambridge University Press, New York (2012)
-
[11]
F. Jiang, L. Wang, Finite-time information consensus for multi-agent systems with fixed and switching topologies, Phys. D, 238 (2009), 1550–1560
-
[12]
S. Li, H. Du, X. Lin, Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics, Automatica J. IFAC, 47 (2011), 1706–1712
-
[13]
X. Liu, J. Lam, W. Yu, G. Chen, Finite-time consensus of multiagent systems with a switching protocol, IEEE Trans. Neural Netw. Learn. Syst., 27 (2016), 853–862
-
[14]
S. G. Nersesov, W. M. Haddad, Finite-time stabilization of nonlinear impulsive dynamical systems, Nonlinear Anal. Hybrid Syst., 2 (2008), 832–845
-
[15]
R. Olfati-Saber, Flocking for multi-agent dynamic systems: algorithms and theory, IEEE Trans. Automat. Control, 51 (2006), 401–420
-
[16]
R. Olfati-Saber, R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49 (2004), 1520–1533
-
[17]
Z. Peng, S. Yang, G. Wen, A. Rahmani, Y. Yu, Adaptive distributed formation control for multiple nonholonomic wheeled mobile robots, Neurocomputing, 173 (2016), 1485–1494
-
[18]
W. Ren, R. W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Trans. Automat. Control, 50 (2005), 655–661
-
[19]
S. Roy, Scaled consensus, Automatica J. IFAC, 51 (2015), 259–262
-
[20]
R. O. Saber, R. M. Murray, Agreement problems in networks with directed graphs and switching topology, In: 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), IEEE, 4 (2003), 4126–4132
-
[21]
Y. Shang, Finite-time consensus for multi-agent systems with fixed topologies, Int. J. Systems Sci., 43 (2012), 499–506
-
[22]
J. N. Tsitsiklis, Problems in decentralized decision making and computation, Ph.D. thesis, MIT, Cambridge, MA (1984)
-
[23]
T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, O. Shochet, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett., 75 (1995), 1226–1229
-
[24]
X. Wang, Y. Hong, Finite-time consensus for multi-agent networks with second-order agent dynamics, IFAC Proc. Vol., 41 (2008), 15185–15190
-
[25]
L. Wang, F. Xiao, Finite-time consensus problems for networks of dynamic agents, IEEE Trans. Automat. Control, 55 (2010), 950–955
-
[26]
X. Xie, X. Li, X. Liu, Event-triggered impulsive control for multi-agent systems with actuation delay and continuous/ periodic sampling, Chaos Solitons Fractals, 175 (2023), 11 pages
-
[27]
X. Xie, T. Wei, X. Li, Hybrid event-triggered approach for quasi-consensus of uncertain multi-agent systems with impulsive protocols, In: IEEE Transactions on Circuits and Systems I: Regular Papers, IEEE, 69 (2022), 872–883
-
[28]
Y. Zhu, C. Chen, X. Guan, Finite-time consensus for multi-agent systems via impulsive control, In: 2016 35th Chinese Control Conference (CCC), IEEE, (2016), 7690–7694