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Mathematical Problems in Engineering
Volume 2015, Article ID 456768, 7 pages
Research Article

Finite Frequency Filtering for Time-Delayed Singularly Perturbed Systems

1Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China
2Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing, Jiangsu 210044, China

Received 18 September 2014; Revised 29 January 2015; Accepted 16 February 2015

Academic Editor: Thomas Hanne

Copyright © 2015 Ping Mei 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.


This paper investigates the problem of finite frequency (FF) filtering for time-delayed singularly perturbed systems. Our attention is focused on designing filters guaranteeing asymptotic stability and FF disturbance attenuation level of the filtering error system. By the generalized Kalman-Yakubovich-Popov (KYP) lemma, the existence conditions of FF filters are obtained in terms of solving an optimization problem, which is delay-independent. The main contribution of this paper is that systematic methods are proposed for designing filters for delayed singularly perturbed systems.