Decentralised consensus for multiple Lagrangian systems based on event-triggered strategy

ABSTRACT

This paper considers the decentralised event-triggered consensus problem for multi-agent systems with Lagrangian dynamics under undirected graphs. First, a distributed, leaderless, and event-triggered consensus control algorithm is presented based on the definition of generalised positions and velocities for all agents. There is only one triggering function for both the generalised positions and velocities and no Zeno behaviour exhibited under the proposed consensus strategy. Second, an adaptive event-triggered consensus control algorithm is proposed for such multi-agent systems with unknown constant parameters. Third, based on sliding-mode method, an event-triggered consensus control algorithm is considered for the case with external disturbance. Finally, simulation results are given to illustrate the theoretical results.

Keywords:

• Decentralised event-triggering
• consensus control
• multi-agent systems
• Lagrangian dynamics

Acknowledgments

This work is supported by the National Science Foundation of China under Grants 61433003, 60904003, Research Fund for the Doctoral Program of Higher Education of China under grant 20091101110025, and Beijing Higher Education Young Elite Teacher Project.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Science Foundation of China [grant number 61433003], [grant number 60904003]; Research Fund for the Doctoral Program of Higher Education of China [grant number 20091101110025]; and Beijing Higher Education Young Elite Teacher Project.