Analysis of Second-Order Modes of Linear Continuous-Time Systems under Positive-Real Transformations
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概要
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This paper discusses the behavior of the second-order modes (Hankel singular values) of linear continuous-time systems under variable transformations with positive-real functions. That is, given a transfer function H(s) and its second-order modes, we analyze the second-order modes of transformed systems H(F(s)), where 1/F(s) is an arbitrary positive-real function. We first discuss the case of lossless positive-real transformations, and show that the second-order modes are invariant under any lossless positive-real transformation. We next consider the case of general positive-real transformations, and reveal that the values of the second-order modes are decreased under any general positive-real transformation. We achieve the derivation of these results by describing the controllability/observability Gramians of transformed systems, with the help of the lossless positive-real lemma, the positive-real lemma, and state-space formulation of transformed systems.
- （社）電子情報通信学会の論文
- 2008-02-01
著者
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Abe Masahide
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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Kawamata Masayuki
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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KOSHITA Shunsuke
Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
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MIZUKAMI Yousuke
School of Science and Engineering, Tokyo Institute of Technology
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KONNO Taketo
Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
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Koshita Shunsuke
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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Mizukami Yousuke
School Of Science And Engineering Tokyo Institute Of Technology
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Konno Taketo
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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