Universal Design Equations for Fractional Order PID Control of Plants with Time Delay

Öz

Some all-purpose design equations are derived for designing fractional order controllers for integer order plants with time delay. The results combine many design techniques appearing in the literature. In addition to plotting the global stability boundaries, they can be used to achieve desired gain and phase margins with a flat phase response near the gain cross over frequency. So, robustness can also be guaranteed. Further, satisfactory output disturbance and high frequency noise rejections can be realizable. An example is treated to make connections with the already existing results in the literature, which proves the usability of the obtained design equations. 

Anahtar Kelimeler

• Control design,PID control,Stability

Gerçek Zaman Gecikmeli Rasyonel Transfer Fonksiyonuna Sahip Sistemlerin Kontrolü için Kesirli Mertebeden Oransal-Entegral-Türevsel (PID) Bir Kontrol Edicinin Genel Tasarım Denklemleri

Öz

Herhangi bir gerçek zaman gecikmeli rasyonel transfer fonksiyonuna sahip sistemin kontrolü için kesirli mertebeden oransal-entegral-türevsel (PID) kontrol edicinin tasarımı için çok amaçlı tasarım denklemleri türetilmiştir. Sonuçlar literatürde mevcut birçok tasarım metodunu birleştirmektedir. Özellikle genel kararlılık sınırlarının çiziminde kullanılmakta, istenilen kazanç ve faz aralıklarının kazanç-kesim frekansında yatay bir faz karakteritiği ile birlikte tasarımını sağlamaktadır. Dolayısıyla dayanıklılık da garanti edilmektedir. Ayrıca, tatminkar çıkış bozulması karakteristiği ve yüksek frekans gürültü engellenmesi gerçekleştirilmesine imkan sağlamaktadır. Literatürde mevcut metodlarla ilişkileri göstermek için bir örnek ele alınmıştır, ki böylece elde edilen tasarım denklemlerinin faydası gösterilmiştir. 

Anahtar Kelimeler

• Kontrol dizayn,PID kontrol,Kararlılık

Kaynakça

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