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関連する概念動画

Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

147
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
147
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

332
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
332
Pole and System Stability01:24

Pole and System Stability

419
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
419
State Space Representation01:27

State Space Representation

281
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
281
Plotting and Calibrating the Root Locus01:19

Plotting and Calibrating the Root Locus

180
Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...
180
Response Surface Methodology01:16

Response Surface Methodology

259
Response Surface Methodology (RSM) is a collection of statistical and mathematical techniques used to develop, improve, and optimize processes. It is particularly valuable when many input variables or factors potentially influence a response variable.
The process of RSM involves several key steps:
259

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システム識別のための合理的な地図

Rajiv Singh1, Tianyu Dai1, Mario Sznaier2

  • 1The MathWorks Inc., 1 Apple Hill Drive, Natick, MA 01760 USA.

IFAC-PapersOnLine
|August 20, 2025
PubMed
まとめ
この要約は機械生成です。

この研究は,複雑な時間変動の非線形システムを識別するための合理的な地図を導入します. これらの方法は,入力-出力データからシステムの識別のための計算効率の良いアルゴリズムを提供します.

キーワード:
線形パラメータの変動非線形システムの識別合理的な近似

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科学分野:

  • システムエンジニアリング
  • 制御理論
  • シグナル処理

背景:

  • ダイナミックシステムの正確な識別は,制御と分析に不可欠です.
  • 伝統的な方法は,時間変動と非線形システムの複雑さで苦労します.

研究 の 目的:

  • 複雑なシステムを特定するための新しいアプローチとして合理的な地図を提示する.
  • この識別方法の計算効率と柔軟性を実証する.

主な方法:

  • 時間,周波数,相関領域で合理的な地図を使用します.
  • 定義された時間枠での入力-出力測定からシステムの識別を分析します.

主要な成果:

  • 合理的な地図は,システムの識別のための効果的な枠組みを提供します.
  • 提案された方法は,計算上効率的なアルゴリズムにつながります.
  • このアプローチは,複雑なシステムの行動を捉えるための柔軟性を提供します.

結論:

  • 合理的な地図は時間変動と非線形システムを特定するための強力なツールです.
  • この方法は,システム識別プロセスの効率と精度を高めます.