多入出力ルーリエ系のパラメトリック絶対安定性

• 和田 光代

  大阪府立大学工学部

• 池田 雅夫

  神戸大学工学部 大阪大学工学部

• 太田 有三

  神戸大学工学部

• ŠILJAK Dragoslav D.

  Santa Clara University

書誌事項

タイトル別名

• Parametric Absolute Stability of Multivariable Lur'e Systems
• 多入出力ルーリエ系のパラメトリック絶対安定性--ポポフ型条件と多角形区間演算によるその判定
• タ ニュウシュツリョク ルーリエケイ ノ パラメトリック ゼッタイ アンテイセ
• A Popov-Type Condition and Application of Polygon Interval Arithmetic
• ポポフ型条件と多角形区間演算によるその判定

抄録

Parametric absolute stability is the concept of stability which deals with feasibility and stability of equilibrium states of Lur'e systems with parametric linear parts and sectorial bounded nonlinearities. A Popov-type sufficient condition for parametric absolute stability has been obtained for single-variable Lur'e systems. For multivariable Lur'e systems, a condition in the state space, which is described by linear matrix inequalities (LMIs), has been derived. For polytopic Lur'e systems, the LMIs are easily solved by a computational tool. However, if the linear part is nonlinear with respect to parameters, there exists no useful tool solving the LMIs. In this paper, the Popov-type condition of parametric absolute stability is extended to multivariable Lur'e systems. An example is presented, in which the condition is tested by applying the polygon interval arithmetic (PIA).

収録刊行物

• 計測自動制御学会論文集

  計測自動制御学会論文集 31 (9), 1329-1335, 1995

  公益社団法人 計測自動制御学会

キーワード

• parametric absolute stability
• Popov-type condition
• Lur'e systems
• polygon interval arithmetic (PIA)
• nonlinear system

詳細情報

• CRID: 1390282679477324544
• NII論文ID: 130003970431
• NII論文ID: 10002485402
• NII書誌ID: AN00072392
• DOI: 10.9746/sicetr1965.31.1329
• ISSN: 18838189
• ISSN: 04534654
• NDL書誌ID: 3621261
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3621261
• Web Site: https://www.jstage.jst.go.jp/article/sicetr1965/31/9/31_9_1329/_pdf
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