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[ $H_2/H_{\infty}$ ] FIR Filters for Discrete-time State Space Models  

Lee Young-Sam (School of Electrical Engineering, Inha University)
Han Soo-Hee (School of Electrical Engineering and Computer Science, Seoul National University)
Kwon Wook-Hyun (School of Electrical Engineering and Computer Science, Seoul National University)
Publication Information
International Journal of Control, Automation, and Systems / v.4, no.5, 2006 , pp. 645-652 More about this Journal
Abstract
In this paper a new type of filter, called the $H_2/H_{\infty}$ FIR filter, is proposed for discrete-time state space signal models. The proposed filter requires linearity, unbiased property, FIR structure, and independence of the initial state information in addition to the performance criteria in both $H_2$ and $H_{infty}$ sense. It is shown that $H_2,\;H_{\infty}$, and $H_2/H_{\infty}$ FIR filter design problems can be converted into convex programming problems via linear matrix inequalities (LMIs) with a linear equality constraint. Simulation studies illustrate that the proposed FIR filter is more robust against temporary uncertainties and has faster convergence than the conventional IIR filters.
Keywords
$H_2/H_{\infty}$ FIR filter; initial state independency; LMI; unbiased property;
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Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
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