Reduced-Order Model Approximation of Fractional-Order Systems Using Differential Evolution Algorithm

Journal of control, automation and electrical systems

article

Bourouba, Bachir¹  Ladaci, Samir²  Chaabi, Abdelhafid³ 

[1] Department of Electrical Engineering, Sétif 1 University;National Polytechnic School of Constantine;Department of Electronics, University Mentouri

关键词: Differential Evolution (DE);    Parameters optimization;    Fractional-order systems;    Reduced-order systems;    Approximation method;   

DOI  :  10.1007/s40313-017-0356-5

学科分类：自动化工程

来源: Springer

【 摘 要 】

In this paper, we authors propose to use an optimization technique known as Differential Evolution (DE) optimizer for the approximation of fractional-order systems with rational functions of low order. Usual integer-order models with eleven unknown parameters are optimized to represent non-integer-order systems using the DE algorithm. Four numerical examples have illustrated the efficiency of the proposed reduced-order approximation algorithm. The results obtained from the DE approach were compared with those of Oustaloup and Charef approximation techniques for fractional-order transfer functions. They showed clearly that the proposed approach provides a very competitive level of performance with a reduced model order and less parameters.

【 授权许可】

CC BY