2 gain analysis for switched systems with continuous-time and discrete-time subsystems

Guisheng Zhai, Hai Lin, Youngbok Kim

研究成果: Paper査読

4 被引用数 (Scopus)

抄録

In this paper, we study ℒ2 gain property for a class of switched systems which are composed of both continuous-time LTI subsystems and discrete-time LTI subsystems. Under the assumption that all subsystems are Hurwitz/Schur stable and have the ℒ2 gain less than 7, we discuss the ℒ2 gain that the switched system could achieve. First, we consider the case where a common Lyapunov function exists for all subsystems in ℒ2 sense, and show that the switched system has the ℒ2 gain less than the same level 7 under arbitrary switching. As an example in this case, we analyze switched symmetric systems and derive the common Lyapunov function clearly. Next, we use a piecewise Lyapunov function approach to study the case where no common Lyapunov function exists in ℒ2 sense, and show that the switched system achieves an ultimate (or weighted) ℒ2 gain under an average dwell time scheme.

本文言語English
ページ2483-2488
ページ数6
出版ステータスPublished - 2004 12 1
外部発表はい
イベントSICE Annual Conference 2004 - Sapporo, Japan
継続期間: 2004 8 42004 8 6

Conference

ConferenceSICE Annual Conference 2004
国/地域Japan
CitySapporo
Period04/8/404/8/6

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンスの応用
  • 電子工学および電気工学

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