Consensus analysis for high-order discrete-time agents with time-varying delay

Abstract

In this paper, distributed consensus for a group of high-order discrete multi-agent systems with time-varying delay in the transmission channel is analysed. Suppose that the system is critically unstable and the delay retards the neighbours' state information, some sufficient conditions are built by designing protocol without the delay information in the control gains. Particularly, it is revealed that the constraint of delay on consensus is relaxed thoroughly if the dimension of the system and the parameters of the undirected topology satisfy the developed conditions. Finally, the proposed approaches are supported through two numerical examples.

Keywords:

• Discrete time
• time-varying
• high order
• consensus

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

The work was supported by the National Natural Science Foundation of China (61803237), the Natural Science Foundation of Shandong Province (ZR2017BF035) and the Project of University Science and Technology (J17KA083).

Notes on contributors

Zhenhua Wang

Zhenhua Wang received his B.E. degree in Mathematics from Jinan University in 2008, and the M.E. degree in Fundamental Mathematics in 2011 from Shandong University, and his Ph.D. degree in Control Science and Engineering in 2015 from Shandong University, then worked as a Lecturer at the School of Information Science and Engineering, Shandong Normal University, where he is currently an Associate Professor. His research interests include multi-agent systems, networked control systems, and time-delay systems.