Regular Papers

International Journal of Control, Automation and Systems 2020; 18(5): 1083-1093

Published online December 26, 2019

https://doi.org/10.1007/s12555-019-0385-x

© The International Journal of Control, Automation, and Systems

Event-triggering Consensus for Second-order Leader-following Multiagent Systems with Nonlinear Time-delayed Dynamics

Yangling Wang*, Jinde Cao, Haijun Wang, and Fuad E. Alsaadi

Nanjing Xiaozhuang University

Abstract

This work focuses on the leader-following consensus problem for networks of dynamic agents, each of which has second-order nonlinear time-delayed dynamics. Event-triggered control and pinning control strategies are used in view of energy conservation. For each agent, the controller updates only when a properly presented event triggering condition is satisfied, which is based on the measurement errors and an exponential term. The network communication topology contains a directed spanning tree and only a fraction of follower agents can obtain the leader agent’s information. By virtue of the Lyapunov-Krasovskii functional method, the M−matrix theory and some algebraic inequalities, a sufficient condition for achieving leader-following consensus is established. The Zeno-behavior of triggered time sequence is excluded whether the consensus is reached or not. Finally, a simulation example is provided to demonstrate the proposed theoretical results.

Keywords Delayed nonlinear dynamics, event-triggered control, leader-following consensus, pinning control, second-order multi-agent systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2020; 18(5): 1083-1093

Published online May 1, 2020 https://doi.org/10.1007/s12555-019-0385-x

Copyright © The International Journal of Control, Automation, and Systems.

Event-triggering Consensus for Second-order Leader-following Multiagent Systems with Nonlinear Time-delayed Dynamics

Yangling Wang*, Jinde Cao, Haijun Wang, and Fuad E. Alsaadi

Nanjing Xiaozhuang University

Abstract

This work focuses on the leader-following consensus problem for networks of dynamic agents, each of which has second-order nonlinear time-delayed dynamics. Event-triggered control and pinning control strategies are used in view of energy conservation. For each agent, the controller updates only when a properly presented event triggering condition is satisfied, which is based on the measurement errors and an exponential term. The network communication topology contains a directed spanning tree and only a fraction of follower agents can obtain the leader agent’s information. By virtue of the Lyapunov-Krasovskii functional method, the M−matrix theory and some algebraic inequalities, a sufficient condition for achieving leader-following consensus is established. The Zeno-behavior of triggered time sequence is excluded whether the consensus is reached or not. Finally, a simulation example is provided to demonstrate the proposed theoretical results.

Keywords: Delayed nonlinear dynamics, event-triggered control, leader-following consensus, pinning control, second-order multi-agent systems.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446