Observer-based synchronisation control for discrete-time delayed switched complex networks with coding–decoding approach

ABSTRACT

In this paper, we investigate the synchronisation control problem for a class of discrete-time switched complex networks with time-varying delays via a coding–decoding-based approach. An observer-based control scheme is proposed for each node by utilising the outputs of complex networks. The data are transmitted in a digital manner and only the sequence of finite coded signals is sent from the observer to the controller. We design a proper coding–decoding procedure for each node to ensure that the closed-loop networks achieve the expected synchronisation performance. By applying the average dwell-time switching strategy and a uniform quantisation approach, some criteria are firstly presented to ensure the detectability of the complex networks. Then sufficient conditions are provided for the existence of desired observer-based controller, guaranteeing the synchronisation of complex networks. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

KEYWORDS:

• coding–decoding
• complex networks
• detectability analysis
• observer-based synchronisation control
• switched systems
• time-varying delay

Disclosure statement

There is no any potential conflict of interest with anyone else.

Data availability statement

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

Additional information

Notes on contributors

Jinghui Suo

Jinghui Suo was born in Henan Province, China, in 1989. She received the B.S. and Ph.D. degrees in department of Mathematics from Tongji University, China, in 2011 and 2016, respectively. She is currently a lecturer with the College of Information Science and Technology, Donghua University, Shanghai, China. Her research interests include switched systems, neural networks and complex networks.

Nan Li

Nan Li received her B.Eng. degree in Automation from Wuhan University of Hydraulic and Electrical Engineering, Yichang, China, in 2003 and the master degree in Control Theory and Control Engineering from Zhejiang University of Technology, Hangzhou, China, in 2009. She is currently a lecturer with the College of Information Science and Technology, Donghua University, Shanghai, China. From 2003 to 2012, she was a lecturer with the College of Mechanical and Electrical Engineering, Zhejiang Ocean University, Zhoushan, China. Her research interests include neural networks, complex networks, nonlinear systems and bioinformatics.