NDLI: A New Approach to <formula formulatype=inline><tex Notation=TeX>$H_{infty}$</tex></formula> Filter Design for Systems With Time-Varying State Delay

Content Provider	IEEE Xplore Digital Library
Author	Xiaoguang Dong Jianbin Qiu You Ma Huijun Gao
Copyright Year	2004
Abstract	This brief revisits the robust H_∞ filter design problem for systems with a time-varying state delay by an indirect approach. By employing a two-term approximation method, the filtering error system with a time-varying delay is reformulated into a feedback interconnection form, which contains a forward system with two constant time delays and a feedback system with uncertainties. Then, based on the scaled small gain theorem, the asymptotic stability of the filtering error system is examined, and a new delay-dependent bounded real lemma (BRL) is obtained. Based on the BRL, both the full- and reduced-order filter design approaches are proposed. Moreover, immediate extensions of the results are made to systems with polytopic uncertainties. Finally, two illustrative examples are presented to demonstrate the validity of the proposed methods.
Sponsorship	IEEE Circuits and Systems Society
Starting Page	825
Ending Page	829
Page Count	5
File Size	173457
File Format	PDF
ISSN	15497747
Volume Number	59
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Delay Time varying systems Uncertainty Robustness Stability analysis Delay effects Linear systems time-varying delay $H_{\infty}$ filtering model reformulation polytopic uncertainties scaled small gain (SSG) theorem
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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