Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects

Abstract

In this paper, we are concerned with the sampled-based consensus problem of multi-agent systems with bounded distributed time-delays and quantisation effects. A dynamic quantisation scheme is introduced to save the constrained communication resources, where some adjustable parameters are introduced to exclude the phenomena of quantiser saturation. In addition, to reduce the actuation burden of controller and quantiser cost, a sampled-data control strategy is employed to investigate the consensus problem. Several sufficient criteria are derived to achieve consensus of multi-agent systems based on the matrix theory and Lyapunov control techniques. Finally, two numerical examples are provided to demonstrate the effectiveness of the derived results.

Keywords:

• Consensus
• multi-agent systems
• dynamic quantiser
• sampled-data control
• bounded distributed time-delays

Data availability statement

Data sharing is not applicable to this article as no new data were created or analysed in this study.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (RG-21-135-41). The authors, therefore, acknowledge with thanks DSR for technical and financial support. The work was also supported by National Natural Science Foundation of China under Grants 62173292, 62003090, 61873230 and 61773017, Natural Science Research Projects of Anhui Province of China under Grants No. KJ2019A0528 and KJ2020A0529.

Notes on contributors

Luyang Yu

Luyang Yu was born in Jiangsu, China, in 1990, and received the B.S. degree in Mathematics from Yangzhou University, Yangzhou, China, in 2014. Now he is pursuing the Ph.D. degree in Applied Mathematics at Yangzhou University, and his current research interests include hybrid systems, dynamics of complex networks and nonlinear control.

Ying Cui

Ying Cui received the M.S. degree from Wuhan University, Hubei, China in 2007, and the Ph.D. degree in applied mathematics from Yangzhou University, Jiangsu, China in 2018. Her research interests include the hybrid systems, dynamics of complex networks, and networked control systems.

Yurong Liu

Yurong Liu was born in China in 1964. He received his B.S. degree in Mathematics from Suzhou University, Suzhou, China, in 1986, the M.S. degree in Applied Mathematics from Nanjing University of Science and Technology, Nanjing, China, in 1989, and the Ph.D. degree in Applied Mathematics from Suzhou University, Suzhou, China, in 2001. Dr. Liu is currently a professor with the Department of Mathematics, Yangzhou University, China. He also serves as an Associate Editor of Neurocomputing. So far, he has published more than 100 papers in refereed international journals. His current interests include stochastic control, neural networks, complex networks, nonlinear dynamics, time-delay systems, multi-agent systems, and chaotic dynamics.

Naif D. Alotaibi

Naif D. Alotaibi completed his B.S. in Computer Engineering from the King Abdulaziz University in Jeddah, Saudi Arabia, in 2000, and received his Master and PhD degrees in Information Technology from Queensland University of Technology in Brisbane, Australia, in 2006 and 2012, respectively. In 2013, he joined the Electricaland Computer Engineering Department at the Faculty of Engineering, King Abdulaziz University (KAU), Jeddah, Saudi Arabia as an assistant professor. Currently, He is an Associate Professor of Electricaland Computer Engineering at KAU. Hisresearch interests include IT infrastructure, computer network quality and network QoS, and quality measurement.

Fawaz E. Alsaadi

Fawaz E. Alsaadi received the B.S. and M.Sc. degrees in computer science from King Abdulaziz University, Jeddah, Saudi Arabia, and University of Denver, Denver, Colorado, USA respectively. He then received the Ph.D. degree in biometric security from the University of Colorado Springs, Colorado Springs, USA. He is currently an associate professor in the Information Technology Department within the Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia. He has research interests in biometric recognition and biometric security, information security, and cloud computing storage security.