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Journal of Control Science and Engineering
Volume 2014, Article ID 936856, 6 pages
http://dx.doi.org/10.1155/2014/936856
Research Article

Improved Robust Stability Criterion of Networked Control Systems with Transmission Delays and Packet Loss

School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, China

Received 10 August 2013; Revised 4 December 2013; Accepted 24 December 2013; Published 12 February 2014

Academic Editor: Derong Liu

Copyright © 2014 Shenping Xiao 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 problem of stability analysis for a class of networked control systems (NCSs) with network-induced delay and packet dropout is investigated in this paper. Based on the working mechanism of zero-order holder, the closed-loop NCS is modeled as a continuous-time linear system with input delay. By introducing a novel Lyapunov-Krasovskii functional which splits both the lower and upper bounds of the delay into two subintervals, respectively, and utilizes reciprocally convex combination technique, a new stability criterion is derived in terms of linear matrix inequalities. Compared with previous results in the literature, the obtained stability criterion is less conservative. Numerical examples demonstrate the validity and feasibility of the proposed method.