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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 367629, 5 pages
http://dx.doi.org/10.1155/2014/367629
Research Article

Temperature Control of Gas Chromatograph Based on Switched Delayed System Techniques

The School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China

Received 10 April 2014; Accepted 10 May 2014; Published 26 May 2014

Academic Editor: Yun-Bo Zhao

Copyright © 2014 Xiao-Liang Wang 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

We address the temperature control problem of the gas chromatograph. We model the temperature control system of the gas chromatograph into a switched delayed system and analyze the stability by common Lyapunov functional technique. The PI controller parameters can be given based on the proposed linear matrix inequalities (LMIs) condition and the designed controller can make the temperature of gas chromatograph track the reference signal asymptotically. An experiment is given to illustrate the effectiveness of the stability criterion.