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基于改进粒子群算法的分数阶系统参数辨识

刘璐 单梁 蒋超 戴跃伟 刘成林 戚志东

东南大学学报(英文版)2018,Vol.34Issue(1):6-14,9.
东南大学学报(英文版)2018,Vol.34Issue(1):6-14,9.DOI:10.3969/j.issn.1003-7985.2018.01.002

基于改进粒子群算法的分数阶系统参数辨识

Parameter identification of the fractional-order systems based on a modified PSO algorithm

刘璐 1单梁 1蒋超 2戴跃伟 1刘成林 3戚志东1

作者信息

  • 1. 南京理工大学自动化学院,南京210094
  • 2. Department of Electrical and Computer Engineering,Stevens Institute of Technology,Hoboken,NJ 07030,USA
  • 3. 江南大学轻工过程先进控制教育部重点实验室,无锡214122
  • 折叠

摘要

Abstract

In order to better identify the parameters of the fractional-order system, a modified particle swarm optimization (MPSO) algorithm based on an improved Tent mapping is proposed. The MPSO algorithm is validated with eight classical test functions, and compared with the POS algorithm with adaptive time varying accelerators (ACPSO), the genetic algorithm(GA), and the improved PSO algorithm with passive congregation(IPSO). Based on the systems with known model structures and unknown model structures, the proposed algorithm is adopted to identify two typical fractional-order models. The results of parameter identification show that the application of average value of position information is beneficial to making full use of the information exchange among individuals and speeds up the global searching speed. By introducing the uniformity and ergodicity of Tent mapping, the MPSO avoids the extreme value of position information, so as not to fall into the local optimal value. In brief, the MPSO algorithm is an effective and useful method with a fast convergence rate and high accuracy.

关键词

粒子群优化/Tent映射/参数辨识/分数阶系统/被动聚集

Key words

particle swarm optimization/Tent mapping/parameter identification/fractional-order systems/passive congregation

分类

信息技术与安全科学

引用本文复制引用

刘璐,单梁,蒋超,戴跃伟,刘成林,戚志东..基于改进粒子群算法的分数阶系统参数辨识[J].东南大学学报(英文版),2018,34(1):6-14,9.

基金项目

The National Natural Science Foundation of China(No.61374153,61473138,61374133),the Natural Science Foundation of Jiangsu Province(No.BK20151130),Six Talent Peaks Project in Jiangsu Province(No.2015-DZXX-011),China Scholarship Council Fund(No.201606845005). (No.61374153,61473138,61374133)

东南大学学报(英文版)

1003-7985

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