Name: pd control reduces overshoot in motor torque
Uploaded: 2024-11-21T14:54:16.000Z
Duration: 1 min 7 s
Channel: JoVE

比例制御のみのモーター システムについて考えてみて、最大オーバーシュートと振動が大きく、誤差信号とその変化率に反映されます。
正の誤差信号と正のモータートルクの上昇は、過度の力と不十分な抵抗により、大幅な出力オーバーシュートと振動を引き起こします。
誤差信号とモータトルクが負の場合、出力加速が遅くなり、アンダーシュートが発生します。
再び、モーターのトルクが正の場合、負のトルクによって引き起こされるアンダーシュートが減少します。
次に、PDコントローラーを使用してシステムとその伝達関数を変更します。
PD制御は、エラー信号の変化率に基づいて補正トルクを調整することでオーバーシュートとアンダーシュートを低減し、先を見越したメカニズムとして機能します。
PD制御メカニズムは、エラー信号の傾きを使用してシステムの方向を予測して修正し、過度のオーバーシュートを抑制します。定常状態のエラーに影響を与えるのは、エラーが時間の経過と共に変動するときだけです。

pd制御の時間領域解釈

Time-Domain Interpretation of PD Control

比例微分 (PD) 制御は、安定性とパフォーマンスを向上させるために、さまざまなエンジニアリングシステムで広く使用されている制御方法です。比例制御のみを使用するシステムでは、誤差信号とその変化率の両方で見られる最大オーバーシュートと振動が大きな問題としてよく見られます。この動作は、初期オーバーシュート、後続のアンダーシュート、および段階的な安定化という 3 つの異なる段階に分けられます。 
モータートルクの制御の例を考えてみましょう。最初に、正の誤差信号によって、急速に上昇する正のモータートルクが生成されます。このトルクの急増により、大きな力と不十分な減衰が原因で、出力の大幅なオーバーシュートと振動が発生します。比例制御の過剰な初期補正と弱い抵抗を反映して、システムの出力は目標値を超えています。 
第 2 段階では、負の誤差信号によって負のモータートルクが生成され、出力が減速して目標を下回ります。このアンダーシュートは、最初のオーバーシュート後にシステムが反対方向に過剰補正する傾向があることを示しています。この段階でのトルクの減少によって出力が遅くなりますが、適切な減衰がないため、振動動作が発生します。 
最終段階では、正のモータートルクが再び現れ、前の段階からのアンダーシュートが減少します。各振動では、誤差振幅が減少し、システムの出力が徐々に安定します。オーバーシュートの原因となった初期補正値が高く、抵抗が弱いため、この段階では抵抗が増加し、補正力が減少することでバランスが取れます。 
PD 制御は、誤差信号の傾斜に基づいて予測調整を導入することで、これらの問題を効果的に解決します。この予測メカニズムにより、システムは方向を予測して修正し、過剰なオーバーシュートを緩和して振動の振幅を減らすことができます。システムの応答速度を調整することで、PD 制御は初期修正力を微調整し、抵抗を強化してオーバーシュートとアンダーシュートを小さくします。その結果、システムはより安定した制御された出力を実現します。

PD制御の時間領域解釈

比例制御のみのモーターシステムを考えてみて、高い最大オーバーシュートと振動を示し、エラー信号とそのレートに反映されます...

Education

JoVE Core

Electrical Engineering

電気工学

Unit 1

ユニット1

Design of Control Systems

制御システムの設計

KEY TERMS AND CONCEPTS

主要用語と概念

pd control reduces overshoot in motor torque

PD control helps reduce overshoot and oscillation in motor torque systems. Proportional control uses the size of the error signal to set the correction. When the response is too large or too small, the output can move away from the target and then swing back.

With proportional control alone, the system often goes through three stages. First, a positive error signal creates a rapidly rising positive motor torque. That strong push can cause a large overshoot because the system has high force but not enough damping, which is the resistance that helps slow motion.

Next, the error signal turns negative. This produces negative motor torque, which slows the output and can make it undershoot the target. The system then overcorrects in the opposite direction, and the lack of damping keeps the motion oscillating.

In the final stage, positive motor torque appears again and reduces the undershoot. Each new swing becomes smaller as the error amplitude drops and the output settles closer to the desired value. PD control improves this behavior by adding an anticipatory adjustment based on the slope, or rate of change, of the error signal. That extra correction helps predict the direction of the error, lowers overshoot and undershoot, and makes the output more stable.

PD Control Reduces Overshoot in Motor Torque

pd-control-reduces-overshoot-in-motor-torque

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time-domain interpretation of pd control

PD control helps reduce overshoot and oscillation in motor torque systems. Proportional control uses the size of the error signal to set the correction. When the response is too large or too small, the output can move away from the target and then swing back. With proportional control alone, the system often goes through three stages. First, a positive error signal creates a rapidly rising positive motor torque. That strong push can cause a large overshoot because the system has high force but...

frequency-domain interpretation of pd control

frequency-domain-interpretation-of-pd-control

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time-and-frequency-domain-interpretation-of-pi-control

PI Control: Zero Placement and Stability

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time and frequency -domain interpretation of phase-lag control

time-and-frequency-domain-interpretation-of-phase-lag-control

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key terms and concepts

Learn how PD control uses the error signal and its slope to reduce overshoot, undershoot, and oscillation in motor torque systems.

PD Control Reduces Overshoot in Motor Torque | JoVE K12

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electrical engineering

PD Control Reduces Overshoot in Motor Torque

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