Second-order event-triggered adaptive containment control for a class of multi-agent systems

Tao Li; Zhipeng Li; Shumin Fei; Zhengtao Ding

doi:10.1016/j.isatra.2019.06.003

Second-order event-triggered adaptive containment control for a class of multi-agent systems

ISA Trans. 2020 Jan:96:132-142. doi: 10.1016/j.isatra.2019.06.003. Epub 2019 Jun 10.

Authors

Tao Li¹, Zhipeng Li², Shumin Fei³, Zhengtao Ding⁴

Affiliations

¹ School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China. Electronic address: autolitao@nuaa.edu.cn.
² School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China.
³ School of Automation, Southeast University, Nanjing 210096, PR China.
⁴ School of Electrical and Electronic Engineering, The University of Manchester, Manchester M13 9PL, United Kingdom.

PMID: 31200925
DOI: 10.1016/j.isatra.2019.06.003

Abstract

This paper is primarily concerned with the event-triggered adaptive containment control for the second-order linear multi-agent systems (MASs) subject to time-varying input delays. Different from traditional methods, the triggering thresholds can be time-variable and achieved online, which are regulated by the triggering error. Then the number of transmitted data is modulated by two adaptive laws that play a crucial role in deciding whether to release the current data or not. By selecting two augmented types of Lyapunov-Krasovskii functionals (LKFs) and applying three effective inequalities, these earlier ignored information can be recollected and the field of application can be greatly enlarged. Moreover, the issues on delay-dependence respectively take uniform input delay and nonuniform input ones into consideration, in which the inter-relationship among time-delays can be involved. Finally, two MAS examples are exploited to illustrate our theoretical results.

Keywords: Adaptive containment control; Event-triggered mechanism; Multi-agent system (MAS); Time-varying input delay.