Parametric Absolute Stability of Multivariable Lur'e Systems
-
- WADA Teruyo
- College of Engineering, University of Osaka Prefecture
-
- IKEDA Masao
- Faculty of Engineering, Kobe University Faculty of Engineering, Osaka University
-
- OHTA Yuzo
- Faculty of Engineering, Kobe University
-
- ŠILJAK Dragoslav D.
- Santa Clara University
Bibliographic Information
- Other Title
-
- 多入出力ルーリエ系のパラメトリック絶対安定性
- 多入出力ルーリエ系のパラメトリック絶対安定性--線形行列不等式条件とポリトープ型システムへの適用
- 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
- Linear Matrix Inequalities and an Application to Polytopic Systems
- 線形行列不等式条件とポリトープ型システムへの適用
Search this article
Abstract
Parametric absolute stability is considered for multivariable Lur'e systems consisting of linear parts with uncertain parameters and sectorial bounded nonlinearities. The change of the equilibrium state is dealt with, which is caused by the variation of parameters and reference inputs. Linear matrix inequalities (LMIs) are derived, which constitute a sufficient condition for parametric absolute stability. They are to be satisfied for each value of the parameter vector and a specified class of nonlinearities. One of them ensures the existence of an equilibrium and is used to compute a region where it exists. Others ensure global asymptotic stability of any equilibrium in the region. For Lur'e systems with polytopic linear parts, non-parametric LMIs are presented. They are more conservative than the parametric ones, but can easily be checked via an existing tool for computation.
Journal
-
- Transactions of the Society of Instrument and Control Engineers
-
Transactions of the Society of Instrument and Control Engineers 31 (8), 1061-1069, 1995
The Society of Instrument and Control Engineers
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1390282679478041216
-
- NII Article ID
- 130003970393
- 10002484984
-
- NII Book ID
- AN00072392
-
- ISSN
- 18838189
- 04534654
-
- NDL BIB ID
- 3621262
-
- Data Source
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- Abstract License Flag
- Disallowed