Design of an integer order proportional–integral/proportional–integral–derivative controller based on model parameters of a certain class of fractional order systems

Erhan Yumuk, Müjde Güzelkaya*, İbrahim Eksin

*Bu çalışma için yazışmadan sorumlu yazar

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11 Atıf (Scopus)

Özet

In this study, we deal with systems that can be represented by single fractional order pole models and propose an integer order proportional–integral/proportional–integral–derivative controller design methodology for this class. The basic principle or backbone of the design methodology of the proposed controller relies on using the inverse of the fractional model and then approximating this fractional controller transfer function by a low integer order model using Oustaloup filter. The emerging integer order controller reveals itself either in pre-filtered proportional–integral or proportional–integral–derivative form by emphasizing on the dominancy concept of pole-zero configuration. Parameters of the proposed controllers depend on the parameters of the single fractional order pole model and the only free design parameter left is the overall controller gain. This free design parameter is determined via some approximating functions relying on an optimization procedure. Simulation results show that the proposed controller exhibits either satisfactory or better results with respect to some performance indices and time domain criteria when they are compared to classical integer order proportional–integral–derivative and fractional order proportional–integral–derivative controllers. Moreover, the proposed controller is applied to real-time liquid level control system. The application results show that the proposed controller outperforms the other controllers.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)320-334
Sayfa sayısı15
DergiProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Hacim233
Basın numarası3
DOI'lar
Yayın durumuYayınlandı - 1 Mar 2019

Bibliyografik not

Publisher Copyright:
© IMechE 2018.

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