HYBRID APPROXIMATION METHOD FOR TIME RESPONSE IMPROVEMENT OF CFE BASED APPROXIMATE FRACTIONAL ORDER DERIVATIVE MODELS BY USING GRADIENT DESCENT ALGORITHM

Authors : Murat KÖSEOĞLU, Furkan Nur DENİZ, Barış Baykant ALAGÖZ

Pages : 403-416

Doi:10.17482/uumfd.1148882

View : 87 | Download : 55

Publication Date : 2023-08-31

Article Type : Research Paper

Abstract :Due to its high computational complexity, fractional order insert ignore into journalissuearticles values(FO); derivative operators have been widely implemented by using rational transfer function approximation methods. Since these methods commonly utilize frequency domain approximation techniques, their time responses may not be prominent for time-domain solutions. Therefore, time response improvements for the approximate FO derivative models can contribute to real-world performance of FO applications. Recent works address the hybrid use of popular frequency-domain approximation methods and time-domain approximation methods to deal with time response performance problems. In this context, this study presents a hybrid approach that implements Continued Fraction Expansion insert ignore into journalissuearticles values(CFE); method as frequency domain approximation and applies the gradient descent optimization insert ignore into journalissuearticles values(GDO); for step response improvement of the CFE-based approximate model of FO derivative operators. It was observed that GDO can fine-tune coefficients of CFE-based rational transfer function models, and this hybrid use can significantly improve step and impulse responses of CFE-based approximate models of derivative operators. Besides, we demonstrate analog circuit realization of this optimized transfer function model of the FO derivative element according to the sum of low pass active filters in Multisim and Matlab simulation environments. Performance improvements of hybrid CFE-GDO approximation method were demonstrated in comparison with the stand-alone CFE method.
Keywords : SKA yaklaşım yöntemi, KD gerçekleştirme, Optimizasyon, Zaman cevabı iyileştirme

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