L2-gain Analysis and Feedback Design for a Class of Time-delay Systems with Discontinuity

• Zhang Jiangyan

  Department of Engineering and Applied Sciences, Sophia University

• Shen Tielong

  Department of Engineering and Applied Sciences, Sophia University

抄録

This paper investigates the L₂-gain analysis and synthesis issues under the Filippov framework for a class of nonlinear time-delay systems with discontinuity. First, an extension of L₂-gain property along all the Filippov solutions is given for the time-delay systems, and a sufficient condition is presented that guarantees the nonlinear time-delay systems is strongly stable in the sense of Filippov solution, and the L₂-gain less than a given level. The condition is described by functional partial differential inequality. Then, as an application of the presented condition, a feedback control design problem is solved that the controller strongly stabilized a given plant with pre-specified L₂-gain. Furthermore, as a special case study, the case of linear systems is discussed and it is shown that for the piecewise continuous linear systems, the sufficient condition is represented by algebraic Riccati inequalities.

収録刊行物

• 電気学会論文誌Ｃ（電子・情報・システム部門誌）

  電気学会論文誌Ｃ（電子・情報・システム部門誌） 130 (11), 1960-1967, 2010

  一般社団法人 電気学会

キーワード

• <i>L</i>₂-gain
• time-delay systems
• discontinuity
• feedback control

詳細情報

• CRID: 1390001204609324800
• NII論文ID: 10027457859
• NII書誌ID: AN10065950
• DOI: 10.1541/ieejeiss.130.1960
• ISSN: 13488155
• ISSN: 03854221
• NDL書誌ID: 10865099
• Web Site: http://id.ndl.go.jp/bib/10865099
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10865099
• Web Site: http://www.jstage.jst.go.jp/article/ieejeiss/130/11/130_11_1960/_pdf
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可