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Discrete Dynamics in Nature and Society
Volume 2016, Article ID 6826130, 7 pages
Research Article

Optimal Tracking Performance of MIMO Discrete-Time Systems with Network Parameters

1School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China
2School of Information Science and Engineering, Central South University, Changsha 410012, China
3College of Automation, Huazhong University of Science and Technology, Wuhan 430074, China

Received 23 March 2016; Revised 21 July 2016; Accepted 26 July 2016

Academic Editor: Guoqiang Hu

Copyright © 2016 Chao-Yang Chen 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 optimal regulation properties of multi-input and multioutput (MIMO) discrete-time networked control systems (NCSs), over additive white Gaussian noise (AWGN) fading channels, based on state space representation, are investigated. The average performance index is introduced. Moreover, the regulation performance is measured by the control energy and the error energy of the system, and fundamental limitations are obtained. Two kinds of network parameters, fading and the additive white Gaussian noise, are considered. The best attainable regulation performance limitations can be obtained by the limiting steady state solution of the corresponding algebraic Riccati equation (ARE). The simulation results are given to demonstrate the main results of the theoretical development.