journal article·2022-09-21Open access

Impulsive Multiple-Bipartite Consensus Control for Networked Second-Order Multi-Agent Systems

Tiehui Zhang, Qiuxiang Liu, Hengyu Li, Zhaoyan Wang, Shaorong Xie

Applied Sciences· Volume 12· Issue 19

Abstract

In this paper, the impulsive multiple-bipartite consensus problem is discussed for networked second-order multi-agent systems (MASs) over directed network topology with acyclic partition. The definition of the multiple-bipartite consensus is introduced into second-order MASs by effectively combining the characteristics of bipartite consensus and group consensus based on the unique structure of network topology with acyclic and structural balance. By thoroughly exploring the coupling state between agents, a distributed impulsive multiple-bipartite consensus control protocol is designed for each agent by only measuring the relative information of its neighbors. Some sufficient conditions that guarantee realizing multiple-bipartite consensus are given, and the corresponding stability analysis is based on an improved Laplacian matrix associated with the network topology. Finally, some simulation examples are presented to verify the theoretical results.
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Research context

OpenAlex topics: Distributed Control Multi-Agent Systems · Neural Networks Stability and Synchronization · Energy Efficient Wireless Sensor Networks

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Elementary Education, Jining University, Qufu 273155, China

School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 204444, China

School of Mathematics and Computer Application Technology, Jining University, Qufu 273100, China

Funding

National Natural Science Foundation of China · National Science Foundation of Shandong Province · Key Research and Development Project of Shandong Province of China

References (45)

Show source-provided references
1. Synchronous and asynchronous parallel computation for large-scale optimal control of connected vehicles10.1016/j.trc.2020.102842 ↗
2. Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking10.1016/j.sysconle.2010.06.002 ↗
3. Ferber, J. (1999). Multi-Agent Systems: An Introduction to Distributed Artificial Intelligence, Addison-Wesley. [1st ed.].
4. Russell, S., and Norvig, P. (1995). Artificial Intelligence: A Modern Approach, Prentice-Hall.
5. Wooldridge, M. (2009). An Introduction to Multiagent Systems, John Wiley & Sons. [2nd ed.].
6. Iterative learning control for discrete-time systems with full learnability10.1109/TNNLS.2020.3028388 ↗
7. Consensus in multi-agent systems: A review10.1007/s10462-021-10097-x ↗
8. Impulsive consensus algorithms for second-order multi-agent networks with sampled information10.1016/j.automatica.2012.05.005 ↗
9. Antsaklis, P.J., and Tabuada, P. (2006). Belief consensus and distributed hypothesis testing in sensor networks. Networked Embedded Sensing and Control, Springer. Lecture Notes in Control and Information Science.10.1007/11533382 ↗
10. Sundaram, S., and Hadjicostis, C. (2007, January 9–13). Finite-time distributed consensus in graphs with time-invariant topologies. Proceedings of the 2007 American Control Conference, New York, NY, USA.10.1109/ACC.2007.4282726 ↗
11. An approach to quantized consensus of continuous-time linear multi-agent systems10.1016/j.automatica.2018.01.028 ↗
12. Leader-following consensus for linear and Lipschitz nonlinear multiagent systems with quantized communication10.1109/TCYB.2016.2580163 ↗
13. Quantized consensus of second-order continuous-time multi-agent systems with a directed topology via sampled data10.1016/j.automatica.2013.04.002 ↗
14. Consensus problems on networks with antagonistic interactions10.1109/TAC.2012.2224251 ↗
15. Bipartite consensus problem on matrix-valued weighted directed networks10.1007/s11432-018-9710-8 ↗
16. Event-triggered bipartite consensus in networked Euler–Lagrange systems with external disturbance
17. Second-order bipartite consensus for networked robotic systems with quantized-data interactions and time-varying transmission delays10.1016/j.isatra.2020.08.026 ↗
18. Scaled consensus of second-order nonlinear multiagent systems with time-varying delays via aperiodically intermittent control10.1109/TCYB.2018.2883793 ↗
19. Fully distributed scaled consensus tracking of high-order multiagent systems with time delays and disturbances10.1109/TII.2021.3069207 ↗
21. Couple-group consensus for cooperative-competitive heterogeneous multiagent systems: Hybrid adaptive and pinning methods10.1109/TSMC.2019.2951787 ↗
22. Cluster consensus in networks of agents with weighted cooperative-competitive interactions
23. Distributed impulsive group consensus in second-order multi-agent systems under directed topology
24. Constrained optimal consensus in multi-agent systems with single-and double-integrator dynamics10.1080/00207179.2018.1481299 ↗
25. Consensus control for a class of networks of dynamic agents10.1002/rnc.1144 ↗
26. Time-varying formation control for unmanned aerial vehicles with switching interaction topologies10.1016/j.conengprac.2015.10.001 ↗
27. Consensus control for high-order multi-agent systems10.1049/iet-cta.2009.0191 ↗
28. Distributed containment control for Lagrangian networks with parametric uncertainties under a directed graph10.1016/j.automatica.2012.01.020 ↗
29. Hybrid event-triggered and impulsive control strategy for multiagent systems with switching topologies10.1109/TCYB.2020.3035713 ↗
30. Interval consensus over random networks10.1016/j.automatica.2019.108603 ↗
31. Group–bipartite consensus in the networks with cooperative-competitive Interactions
32. Yang, T. (2001). Impulsive Control Theory, Springer.
33. Surgical robot for intraluminal access: An ex vivo feasibility study10.34133/2020/8378025 ↗
34. Robust impulsive synchronization of uncertain dynamical networks10.1109/TCSI.2005.851708 ↗
35. Impulsive pinning synchronization of stochastic discrete-time networks10.1016/j.neucom.2010.02.010 ↗
36. Synchronization of complex dynamical networks With time-varying delays via impulsive distributed control10.1109/TCSI.2009.2037848 ↗
37. Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition10.1016/j.automatica.2013.06.017 ↗
38. Coordination of groups of mobile autonomous agents using nearest neighbor rules10.1109/TAC.2003.812781 ↗
39. Information flow and cooperative control of vehicle formations10.1109/TAC.2004.834433 ↗
40. Saber, R.O., and Murray, R.M. (2003, January 4–6). Consensus protocols for networks of dynamic agents. Proceedings of the 2003 American Control Conference, Denver, CO, USA.
41. On multi-consensus and almost equitable graph partitions10.1016/j.automatica.2019.01.021 ↗
42. Distributed control of multiconsensus10.1109/TAC.2020.3006820 ↗
43. Cluster partitioning of heterogeneous multi-agent systems10.1016/j.automatica.2021.110136 ↗
44. Hybrid consensus for multi-agent systems with time-driven jumps10.1016/j.nahs.2021.101113 ↗
45. Topology-induced containment for general linear systems on weakly connected digraphs10.1016/j.automatica.2021.109734 ↗