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Mathematical Problems in Engineering
Volume 2014, Article ID 637329, 9 pages
http://dx.doi.org/10.1155/2014/637329
Research Article

Guaranteed Cost Control for Multirate Networked Control Systems with Both Time-Delay and Packet-Dropout

1School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, China
2School of Electrical and Electronic Engineering, East China Jiaotong University, Nanchang 330013, China
3School of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333001, China

Received 26 November 2013; Revised 8 February 2014; Accepted 9 February 2014; Published 17 April 2014

Academic Editor: Xudong Zhao

Copyright © 2014 Qixin Zhu 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

Compared with traditional networked control systems, the sampling rates of the nodes are not the same in the multirate networked control systems (NCSs). This paper presents a new stabilization method for multirate NCSs. A multirate NCSs with simultaneous considering time-delay and packet-dropout is modeled as a time-varying sampling system with time-delay. The proposed Lyapunov function deceases at each input signal updating point, which is largely ignored in prior works. Sufficient condition for the stochastic mean-square stability of the multirate NCSs is given, and the cost function value is less than a bound. Numerical examples are presented to illustrate the effectiveness of the proposed control scheme.