New improved fractional order integrators using PSO optimisation

作     者：Yadav, Richa Gupta, Maneesha 

作者机构：Netaji Subhas Inst Technol Dept ECE Adv Elect Lab New Delhi 110078 India 

出 版 物：《INTERNATIONAL JOURNAL OF ELECTRONICS》 (国际电子学杂志)

年 卷 期：2015年第102卷第3期

页      面：490-499页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

主　　题：optimisation algorithm fractional order integrators (FOIs) Al-Alaoui operator digital integrators (DIs) particle swarm optimisation (PSO) linear interpolation 

摘      要：This article investigates the optimal results of new improved fractional order integrators (FOIs) of different orders. Mathematical models of FOIs have been first developed by a single-step procedure of direct linear interpolation of fractional integrators based on Al-Alaoui operator in fractional domain itself, instead of using three steps of the well-known conventional method, namely, digital interpolation, series expansion and truncation. Later, these transfer functions (TFs) are optimised for their coefficient values for finding a minimum error function by particle swarm optimisation (PSO) algorithm. Simulation results of magnitude responses, phase responses and relative magnitude errors (dB) for all the proposed half integrators have validated the effectiveness of this new technique of interpolation of fractional order operators, mixed with PSO algorithm. A parallel comparison has been also drawn between the proposed optimised half integrators and those obtained by discretisation of PSO optimised integer order digital integrators (DIs) to properly support the proposed novel combination of interpolation and PSO, both applied together in fractional domain.