On the absence of limit cycles in state-space digital filters with minimum L2-sensitivity

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

研究成果: Article査読

18 被引用数 (Scopus)

抄録

This brief proposes a systematic approach to synthesis of limit cycle free state-space digital filters with minimum L2-sensitivity. We synthesize the minimum L2-sensitivity realization adopting the balanced realization as an initial realization. The coordinate transformation matrix which transforms the balanced realization into the minimum L2-sensitivity realization is expressed as the product of a positive definite symmetric matrix and arbitrary orthogonal matrix. We show that the controllability and observability Gramians of the minimum L2-sensitivity realization satisfy a sufficient condition for the absence of limit cycles when we select an appropriate orthogonal matrix. As a result, the minimum L2-sensitivity realization without limit cycles can be synthesized by selecting an appropriate orthogonal matrix.

本文言語English
ページ(範囲)46-50
ページ数5
ジャーナルIEEE Transactions on Circuits and Systems II: Express Briefs
55
1
DOI
出版ステータスPublished - 2008
外部発表はい

ASJC Scopus subject areas

  • 電子工学および電気工学

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