Consensus of multi-agent systems with state and input delays via non-fragile protocol

Abstract

This paper studies the non-fragile consensus problem of nonlinear multi-agent systems (MASs) with state and input time-varying delays. The main purpose of this paper is to provide new approaches for the non-fragile consensus research of MASs with time-varying delay. To achieve this goal, a quadratic polynomial Lyapunov–Krasovskii functional is constructed and the generalised free-matrix-based integral inequality is employed. In addition, the quadratic function negative-determination method is applied to the consensus analysis of MASs with controller gain fluctuation. Finally, two novel consensus criteria are established. A simulation example is given to examine the effectiveness and superiority of the obtained criteria.

Keywords:

• Non-fragile concensus
• multi-agent systems (MASs)
• time-varying delay
• Lyapunov–Krasovskii functional (LKF)

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

The authors confirm that the data supporting the findings of this study are available within the article [and/or] its supplementary materials.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant No. 61973284 and in part by the 111 Project (Higher Education Discipline Innovation Project) under Grant No. B17040.

Notes on contributors

Xiao-Jie Peng

Xiao-Jie Peng received the B.S. degree in automation from the Hunan University of Science and Technology, Xiangtan, China, in 2017. She is currently pursuing the Ph.D. degree in control science and engineering with the China University of Geosciences, Wuhan. Her current research interests include time-delay systems, neural networks and multi-agent systems.

Yong He

Yong He received the B.S. and M.S. degrees in applied mathematics and the Ph.D. degree in control theory and control engineering from Central South University (CSU), Changsha, China, in 1991, 1994, and 2004, respectively. He was a Lecturer with the School of Mathematics and Statistics, CSU, and later a Professor with the School of Information Science and Engineering, CSU, from 1994 to 2014. He was a Research Fellow with the Department of Electrical and Computer Engineering, National University of Singapore, Singapore, from 2005 to 2006, and the Faculty of Advanced Technology, University of Glamorgan, Glamorgan, U.K., from 2006 to 2007. He joined the China University of Geosciences, Wuhan, China, in 2014, where he is currently a Professor with the School of Automation. His current research interests include time-delay systems and networked control systems.