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Mathematical Problems in Engineering
Volume 2014, Article ID 785790, 7 pages
http://dx.doi.org/10.1155/2014/785790
Research Article

Analysis and Design of Network-Based Control Systems with Binary Modulation

School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

Received 27 December 2013; Accepted 31 January 2014; Published 23 March 2014

Academic Editor: Linying Xiang

Copyright © 2014 Shunli Zhao 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

Network-based control systems have been emerging technologies in control and computer communication fields over the past decade. This paper focuses on the analysis and design of network-based control systems with binary modulation. First, it is shown that different modulations can result in different delays which are inevitable in network-based control systems. The delay can be seen as constant delay when the transmission time is the main consideration. Second, channel noise can result in bit error while bit error is seen as active packet loss in this paper, in this context, the conditions of signal-to-noise ratio (SNR) for binary modulation that can guarantee the stability of systems are obtained according to the proposed algorithm. Third, the system with delay and noisy communication can be modeled as an asynchronous dynamic system (ADS); in addition, the stability is analyzed and controller is designed in terms of Lyapunov function and linear matrix inequality (LMI) scheme. Finally, without loss of generality, numerical simulation demonstrates the effectiveness of the proposed scheme and designed controller based on binary amplitude shift keying (2ASK) modulation.