Araştırma Makalesi
BibTex RIS Kaynak Göster

Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient

Yıl 2018, Cilt: 7 Sayı: 3, 44 - 53, 15.12.2018

Öz

In recent years, fractional calculus has been used frequently in the
field of control engineering. One of the main reasons for this is that it
models a real world more successfully. However, there are some disadvantages.
First, it has complex and tedious mathematical calculations. Second, it does
not has general analytical solutions.
Namely, computing time responses of fractional
order systems is still a big problem. Therefore, integer order approximation
methods and some numerical methods are used for computation of impulse and step
responses. Furthermore, computation accuracy and
computation duration of time responses by using Matlab is also important
because the computation duration may be too long for some systems such as
systems with large time delay and large inertia. In this paper, computation
duration and accuracy of time responses is investigated by testing different
numerical approximation method for fractional order control systems with large
time coefficient.

Kaynakça

  • Atherton, D. P., Tan, N., Yüce, A. 2014. Methods for computing the time response of fractional-order systems. IET Control Theory & Applications, 9(6), 817-830.
  • Chen, Y., Petras, I., Xue, D. 2009. Fractional order control-a tutorial. Paper presented at the American Control Conference, 2009. ACC'09., 1397-1411.
  • Das, S. 2007. Functional Fractional Calculus for System Identification and Controls: Springer Publishing Company, Incorporated.
  • Diethelm, K. 2010. The analysis of fractional differential equations: An application-oriented exposition using differential operators of Caputo type: Springer Science & Business Media.
  • Fei, D., Yongjie, Z. 2014. Research on a new feedforward controller of main steam temperature system. Paper presented at the Information and Automation (ICIA), 2014 IEEE International Conference on, 295-300.
  • Ibrahim, D. 2002. Microcontroller-based temperature monitoring and control: Elsevier.
  • Monje, C. A., Chen, Y., Vinagre, B. M., Xue, D., Feliu-Batlle, V. 2010. Fractional-order systems and controls: fundamentals and applications: Springer Science & Business Media.
  • Nonnenmacher, T., Glöckle, W. 1991. A fractional model for mechanical stress relaxation. Philosophical magazine letters, 64(2), 89-93.
  • Podlubny, I. 1998. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Vol. 198): Elsevier.
  • Weilbeer, M. 2005. Efficient numerical methods for fractional differential equations and their analytical background: Papierflieger.
  • Xue, D., Chen, Y., Atherton, D. 2009. Linear feedback control: analysis and design with MATLAB. Society for Industrial and Applied Mathematics.
  • Yüce, A., Tan, N. 2017. Examining of Numerical Methods in Time Response Analysis of Fractional Order Systems with Long Settling Time Paper presented at the International Symposium on Mathematical Methods in Engineering (MME2017) (Abstract Book), Ankara.
Yıl 2018, Cilt: 7 Sayı: 3, 44 - 53, 15.12.2018

Öz

Kaynakça

  • Atherton, D. P., Tan, N., Yüce, A. 2014. Methods for computing the time response of fractional-order systems. IET Control Theory & Applications, 9(6), 817-830.
  • Chen, Y., Petras, I., Xue, D. 2009. Fractional order control-a tutorial. Paper presented at the American Control Conference, 2009. ACC'09., 1397-1411.
  • Das, S. 2007. Functional Fractional Calculus for System Identification and Controls: Springer Publishing Company, Incorporated.
  • Diethelm, K. 2010. The analysis of fractional differential equations: An application-oriented exposition using differential operators of Caputo type: Springer Science & Business Media.
  • Fei, D., Yongjie, Z. 2014. Research on a new feedforward controller of main steam temperature system. Paper presented at the Information and Automation (ICIA), 2014 IEEE International Conference on, 295-300.
  • Ibrahim, D. 2002. Microcontroller-based temperature monitoring and control: Elsevier.
  • Monje, C. A., Chen, Y., Vinagre, B. M., Xue, D., Feliu-Batlle, V. 2010. Fractional-order systems and controls: fundamentals and applications: Springer Science & Business Media.
  • Nonnenmacher, T., Glöckle, W. 1991. A fractional model for mechanical stress relaxation. Philosophical magazine letters, 64(2), 89-93.
  • Podlubny, I. 1998. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications (Vol. 198): Elsevier.
  • Weilbeer, M. 2005. Efficient numerical methods for fractional differential equations and their analytical background: Papierflieger.
  • Xue, D., Chen, Y., Atherton, D. 2009. Linear feedback control: analysis and design with MATLAB. Society for Industrial and Applied Mathematics.
  • Yüce, A., Tan, N. 2017. Examining of Numerical Methods in Time Response Analysis of Fractional Order Systems with Long Settling Time Paper presented at the International Symposium on Mathematical Methods in Engineering (MME2017) (Abstract Book), Ankara.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ali Yuce Bu kişi benim

Tufan Doğruer

Nusret Tan

Yayımlanma Tarihi 15 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 7 Sayı: 3

Kaynak Göster

APA Yuce, A., Doğruer, T., & Tan, N. (2018). Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient. Journal of New Results in Science, 7(3), 44-53.
AMA Yuce A, Doğruer T, Tan N. Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient. JNRS. Aralık 2018;7(3):44-53.
Chicago Yuce, Ali, Tufan Doğruer, ve Nusret Tan. “Analysis of Numerical Methods in Fractional Order Control Systems With Time Delay and Large Time Coefficient”. Journal of New Results in Science 7, sy. 3 (Aralık 2018): 44-53.
EndNote Yuce A, Doğruer T, Tan N (01 Aralık 2018) Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient. Journal of New Results in Science 7 3 44–53.
IEEE A. Yuce, T. Doğruer, ve N. Tan, “Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient”, JNRS, c. 7, sy. 3, ss. 44–53, 2018.
ISNAD Yuce, Ali vd. “Analysis of Numerical Methods in Fractional Order Control Systems With Time Delay and Large Time Coefficient”. Journal of New Results in Science 7/3 (Aralık 2018), 44-53.
JAMA Yuce A, Doğruer T, Tan N. Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient. JNRS. 2018;7:44–53.
MLA Yuce, Ali vd. “Analysis of Numerical Methods in Fractional Order Control Systems With Time Delay and Large Time Coefficient”. Journal of New Results in Science, c. 7, sy. 3, 2018, ss. 44-53.
Vancouver Yuce A, Doğruer T, Tan N. Analysis of Numerical Methods in Fractional Order Control Systems with Time Delay and Large Time Coefficient. JNRS. 2018;7(3):44-53.


EBSCO 30456

Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).