Analysis of second-order modes of linear continuous-time systems under positive-real transformations

Shunsuke Koshita, Yousuke Mizukamit, Taketo Konno, Masahide Abe, Masayuki Kawamata

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

This paper discusses the behavior of the second-order modes of linear continuous-time systems under variable transformations with positive-real functions. 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.

Original languageEnglish
Article number4253121
Pages (from-to)2248-2251
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 2007 Sep 27
Event2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 - New Orleans, LA, United States
Duration: 2007 May 272007 May 30

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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