2015年
Robustification of a Nonlinear Dynamical System with a Stability Index and a Matrix Inequality
SICE Journal of Control, Measurement, and System Integration
- ,
- ,
- 巻
- 8
- 号
- 3
- 開始ページ
- 209
- 終了ページ
- 213
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.9746/jcmsi.8.209
- 出版者・発行元
- The Society of Instrument and Control Engineers
A problem in the field of nonlinear dynamics is considered with a technique of control theory. In particular, for preventing a nonlinear dynamical system from making undesirable bifurcation, it is proposed to control its parameter with a stability index and a matrix inequality. A basic idea is to update the parameter of the system so as to minimize the stability index. Since the stability index is not differentiable as a function of the parameter, its minimization is carried out through equivalent transformation to a smooth minimization problem, where a matrix inequality is used. The proposed method is applied to a simple dynamical system and shown to be effective. Its generalization is also considered for driving a system to avoid chaos.
- リンク情報
- ID情報
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- DOI : 10.9746/jcmsi.8.209
- ISSN : 1882-4889
- CiNii Articles ID : 130005071431