Distributed synchronization control of complex networks with communication constraints

Zhenhua Xu; Dan Zhang; Hongbo Song

doi:10.1016/j.isatra.2016.08.025

Distributed synchronization control of complex networks with communication constraints

ISA Trans. 2016 Nov:65:186-198. doi: 10.1016/j.isatra.2016.08.025. Epub 2016 Sep 16.

Authors

Zhenhua Xu¹, Dan Zhang², Hongbo Song³

Affiliations

¹ Department of Automation, Zhejiang University of Technology, Hangzhou 310023, PR China.
² Department of Automation, Zhejiang University of Technology, Hangzhou 310023, PR China; Department of Electrical and Computer Engineering, National University of Singapore, 4 Engineering Drive 3, Singapore 117576, Singapore. Electronic address: danzhang@zjut.edu.cn.
³ College of Information, Zhejiang University of Finance and Economics, Hangzhou 310018, PR China.

PMID: 27645467
DOI: 10.1016/j.isatra.2016.08.025

Abstract

This paper is concerned with the distributed synchronization control of complex networks with communication constraints. In this work, the controllers communicate with each other through the wireless network, acting as a controller network. Due to the constrained transmission power, techniques such as the packet size reduction and transmission rate reduction schemes are proposed which could help reduce communication load of the controller network. The packet dropout problem is also considered in the controller design since it is often encountered in networked control systems. We show that the closed-loop system can be modeled as a switched system with uncertainties and random variables. By resorting to the switched system approach and some stochastic system analysis method, a new sufficient condition is firstly proposed such that the exponential synchronization is guaranteed in the mean-square sense. The controller gains are determined by using the well-known cone complementarity linearization (CCL) algorithm. Finally, a simulation study is performed, which demonstrates the effectiveness of the proposed design algorithm.

Keywords: Communication constraints; Complex networks; Measurement size reduction; Random packet losses; Synchronization control; Transmission rate reduction.