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Mathematical Problems in Engineering
Volume 2015, Article ID 963282, 13 pages
http://dx.doi.org/10.1155/2015/963282
Research Article

Distributed Consensus Control of Networked Control Systems with Time-Triggered Protocol

School of Automation, Nanjing University of Science and Technology, 200 Xiaolingwei Street, Nanjing 210094, China

Received 11 June 2015; Revised 2 October 2015; Accepted 7 October 2015

Academic Editor: Jason Gu

Copyright © 2015 Ronghua Xie et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The analysis and design of traditional networked control systems focused on single closed-loop scenario. This paper introduces a distributed control approach for the networked control systems (NCSs) with multiple subsystems based on a time-triggered network protocol. Firstly, some basic ideas of the time-triggered protocol are introduced and a time schedule scheme is employed for the NCS. Then, a novel model is proposed to the NCS regarding the network-induced delay. The resulting closed-loop system is time-delay linear system considering a distributed control law. A sufficient condition to consensus control is present based on the Lyapunov-Krasovskii function. Also, the controller design approach towards the given performance index is given by a cone complement linearization and iterative algorithm. Finally, numerical examples are given to validate the approach.