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

Hata sinyaline ve değişim hızına yansıyan, yüksek maksimum aşma ve salınım sergileyen, yalnızca oransal kontrole sahip bir motor sistemi düşünün.
Pozitif bir hata sinyali ve yükselen pozitif motor torku, aşırı kuvvet ve yetersiz direnç nedeniyle önemli çıkış aşımına ve salınımlara neden olur.
Hata sinyali ve motor torku negatif olduğunda, çıkış ivmesi yavaşlar ve bu da yetersiz atışa neden olur.
Yine motor torku pozitifse, negatif torkun neden olduğu alt gerilimi azaltır.
Şimdi, sistemi ve aktarım işlevini PD denetleyicisi ile değiştirin.
PD kontrolü, hata sinyalinin değişim hızına göre düzeltici torku ayarlayarak ve bir öngörü mekanizması olarak hareket ederek aşma ve aşmayı azaltır.
PD kontrol mekanizması, sistem yönünü tahmin etmek ve düzeltmek için hata sinyalinin eğimini kullanır ve aşırı aşmayı engeller. Yalnızca hata zaman içinde dalgalanırsa kararlı durum hatasını etkiler.

pd kontrolünün zaman etki alanında yorumlanması

Time-Domain Interpretation of PD Control

<div>
 Oransal -Türevsel (PD) kontrolü, çeşitli mühendislik sistemlerinde kararlılığı ve performansı artırmak için yaygın olarak kullanılan bir kontrol yöntemidir. Yalnızca oransal kontrole sahip bir sistemde, yaygın sorunlar arasında hem hata sinyalinde hem de değişim oranında gözlenen yüksek maksimum aşım ve salınım bulunur. Bu davranış üç ayrı faza ayrılabilir: ilk aşım, devam aşımı ve kademeli stabilizasyon.
 Motor torku kontrolü örneğini ele alalım. Başlangıçta, pozitif bir hata sinyali hızla yükselen pozitif bir motor torku üretir. Torktaki bu artış, yüksek kuvvete ve yetersiz sönümlemeye atfedilen, kayda değer çıkış aşımı ve salınımlara yol açar. Sistemin çıkışı, oransal kontrolün ölçüsüz ilk düzeltmesini ve zayıf direncini yansıtarak istenen değeri aşar.
 İkinci fazda, negatif bir hata sinyali, çıkışı yavaşlatan ve hedefin altında kalmasına neden olan negatif motor torku üretir. Bu aşım, sistemin ilk aşımdan sonra ters yönde gereğinden fazla telafi etme eğilimine işaret eder. Bu fazdaki tork azalması çıkışı yavaşlatır, ancak yeterli sönümlemenin olmaması salınımlı davranışa neden olur.
 Son fazda, pozitif motor torku yeniden belirir ve önceki fazdan kaynaklanan yetersiz kalma durumunu azaltır. Her salınımda azalan bir hata büyüklüğü görülür ve sistemin çıkışı giderek stabil hale gelir. Aşıma neden olan yüksek ilk düzeltme ve zayıf direnç, bu fazda artan direnç ve azalan düzeltme kuvvetiyle dengelenir.
 PD kontrolü, hata sinyalinin eğimine dayalı öngörülü ayarlamalar getirerek bu sorunları etkili bir şekilde ele alır. Bu öngörülü mekanizma, sistemin yönünü tahmin etmesini ve düzeltmesini, aşırı aşımları hafifletmesini ve salınımların büyüklüğünü azaltmasını sağlar. PD kontrolü, sistemin tepki oranını ayarlayarak ilk düzeltme kuvvetine ince ayar yapar ve direnci artırarak daha küçük yüksek aşımlara ve alt atışlara yol açar. Sonuç olarak, sistem daha kararlı ve kontrollü bir çıktı elde eder.

</div>

PD Kontrolünün Zaman Etki Alanında Yorumlanması

Hata sinyaline ve hızına yansıyan, yüksek maksimum aşma ve salınım sergileyen, yalnızca oransal kontrole sahip bir motor sistemi düşünün ...

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Electrical Engineering

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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

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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...

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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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