Robust H-infinity filtering in finite frequency domain for polytopic systems with application to in-band quantisation noise reduction in uncertain cascaded sigma-delta modulators

doi:10.1049/iet-cta.2010.0053

淡江大學機構典藏 > 工學院 > 電機工程學系暨研究所 > 期刊論文 > Item 987654321/78371

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Title:	Robust H-infinity filtering in finite frequency domain for polytopic systems with application to in-band quantisation noise reduction in uncertain cascaded sigma-delta modulators
Authors:	Chou, Yung-Shan;Lin, Chun-Chen;Chang, Yun-Lun
Contributors:	淡江大學電機工程學系
Keywords:	H∞ filters;IIR filters;quantisation (signal);sigma-delta modulation
Date:	2012-07
Issue Date:	2012-09-27 22:46:31 (UTC+8)
Publisher:	Stevenage: The Institution of Engineering and Technology
Abstract:	This paper investigates the problem of robust H∞ filtering in finite frequency domain for polytopic systems. Robust fixed-order, infinite-impulse-response (IIR) and finite-impulse-response (FIR) designs via indirect approach and direct method are presented. The aforementioned techniques refer to the conventional loop shaping method and that uses recently introduced generalized Kalman-Yakubovich-Popov (GKYP) lemma, respectively. We consider a frequency-domain polytopic model which includes two we! ll-known special cases, i.e., the interval plants and the set of trans fer functions with affinely dependent uncertain parameters belonging to a convex bounded polyhedral domain. First, we derive conditions for the existence of linear-time invariant (LTI) filters. These conditions, irrespective of the uncertain parameters, guarantee both asymptotic stability of the polytopic systems and the filters, and a guaranteed H∞ performance in finite frequency domain. Then LMI-based designs synthesize suboptimal robust IIR and FIR filters. Note that, some of our methods derive IIR and FIR filters of arbitrary order, irrespective whether weighting functions are used. In contrast, many existing results in both full and finite frequency domain derive only full-order IIR filters. In addition,! extension of the results to the multi-band case is straightforward, where the advantages of arbitrary filter order and dropping the use of weighting functions is even more obvious. As an example, we apply the proposed methods to in-band quantisation noise reduction for uncertain cascaded sigma-delta modulators. By comprehensive comparisons with existing methods, we show the viability and efficiency of our design.
Relation:	IET Control Theory & Applications 6(9), p.1155-1171
DOI:	10.1049/iet-cta.2010.0053
Appears in Collections:	[電機工程學系暨研究所] 期刊論文

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