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- 小林 泰秀
- 長岡技術科学大学 工学部
書誌事項
- タイトル別名
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- Stability Analysis of Constant Oscillation Control System of which Proportional-Integral Controller's Output is used as Time-Varying Gain
- ヒレイ セキブン ホショウキ ノ シュツリョク オ ジヘン ケイスウ ト スル テイジョウ ハッシン セイギョケイ ノ アンテイセイ カイセキ
この論文をさがす
抄録
<p>In order to estimate the critical temperature ratio (CTR) of thermoacoustic engines experimentally, a constant oscillation control method which regulates the pressure amplitude to a reference (constant) value has been proposed: the control system has a non-negative state variable of the pressure amplitude; the control law is of a proportional-integral (PI) controller driven by the tracking error; the output of the PI controller is utilized as a time-varying gain in driving signal of a loudspeaker to absorb or inject a power in the acoustic tube. A condition on PI gains for the equilibrium point to be asymptotically stable has been derived, which was agreed with the stability condition in experiments. In this paper, we focus on the fact that the closed-loop system with the zero P-gain becomes a marginal stable system of which differential equation is in separation of variables, a Lyapunov function candidate is constructed by modifying the initial-condition dependent constant of the system. As a result, global asymptotic stability is shown on the basis of the Lyapunov stability criterion without linear approximation.</p>
収録刊行物
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- システム制御情報学会論文誌
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システム制御情報学会論文誌 31 (11), 385-391, 2018-11-15
一般社団法人 システム制御情報学会
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詳細情報 詳細情報について
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- CRID
- 1390001288122836096
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- NII論文ID
- 130007594506
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- NII書誌ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL書誌ID
- 029326604
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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
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- 使用不可