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Abstract and Applied Analysis
Volume 2014, Article ID 786128, 11 pages
Research Article

Control for Network-Based 2D Systems with Missing Measurements

School of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, China

Received 3 April 2014; Revised 19 April 2014; Accepted 20 April 2014; Published 11 May 2014

Academic Editor: Jun Hu

Copyright © 2014 Bu Xuhui 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.


The problem of control for network-based 2D systems with missing measurements is considered. A stochastic variable satisfying the Bernoulli random binary distribution is utilized to characterize the missing measurements. Our attention is focused on the design of a state feedback controller such that the closed-loop 2D stochastic system is mean-square asymptotic stability and has an   disturbance attenuation performance. A sufficient condition is established by means of linear matrix inequalities (LMIs) technique, and formulas can be given for the control law design. The result is also extended to more general cases where the system matrices contain uncertain parameters. Numerical examples are also given to illustrate the effectiveness of proposed approach.