書誌事項
- タイトル別名
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- An Approximate Stability Analysis of Discrete-Time Basis Nonlinear Dynamic Systems Using Universal Learning Networks
- イッパンカ ガクシュウ ネットワーク オ リヨウ シタ ヒセンケイ リサン ジカン ドウテキ システム ノ アンテイ カイセキホウ
この論文をさがす
抄録
In this paper, a new approximate stability analysis method for discrete-time basis nonlinear dynamic systems using higher order derivatives of Universal Learning Networks(ULNs) is proposed. The proposed method is essentially the same as the coventional ones that linearize the nonlinear systems and then use the linear stability analysis, but the stability of the system is analyzed by calculating the forward propagation algorithm of ULNs in the proposed method. Furthermore, the domain of being able to linearlize the nonlinear dynamical systems is obtained by finding the area where the first order derivatives are dominant, which is hard to find in the conventional methods. Therefore, whether the dynamical system in this domain is stable or not is studied. Simulations of an inverted pendulum balancing system are carried out to study the effectiveness of the proposed method. From the results of the simulations, it is clarified that the stability of the inverted pendulum control system is easily analyzed by the proposed method.
収録刊行物
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- 信号処理
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信号処理 8 (3), 235-247, 2004
信号処理学会
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詳細情報 詳細情報について
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- CRID
- 1390001204464079616
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- NII論文ID
- 130004849332
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- NII書誌ID
- AA11147833
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- ISSN
- 18801013
- 13426230
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- NDL書誌ID
- 6980204
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可