Model Reduction with Time Delay Combining Least-Squares Method with Artificial Bee Colony Algorithm

• Hachino Tomohiro

  Kagoshima University

• Sameshima Kosuke

  Kagoshima University

• Takata Hitoshi

  Kagoshima University

• Nakayama Shigeru

  Kagoshima University

• Iimura Ichiro

  Prefectural University of Kumamoto

• Fukushima Seiji

  Kagoshima University

• Igarashi Yasutaka

  Kagoshima University

Abstract

In this paper we propose a novel method of model reduction with a time delay for single-input, single-output continuous-time systems by a separable least-squares (LS) approach. The reduced-order model is determined by minimizing the integral of the magnitude squared of the transfer function error. The denominator parameters and time delay of the reduced-order model are represented by the positions of the food sources of the employed bees and searched for by the artificial bee colony algorithm, while the numerator parameters are estimated by the linear LS method for each candidate of the denominator parameters and time delay. All the best parameters and the time delay of the reduced-order model are obtained through the search by the employed, onlooker and scout bees. Simulation results show that the accuracy of the proposed method is superior to that of the genetic algorithm (GA)-based model reduction algorithm.

Journal

• Journal of Signal Processing

  Journal of Signal Processing 17 (5), 189-198, 2013

  Research Institute of Signal Processing, Japan

Keywords

• model reduction
• time delay
• separable least-squares
• artificial bee colony algorithm

Details

• CRID: 1390282679440114944
• NII Article ID: 130004849303
• DOI: 10.2299/jsp.17.189
• ISSN: 18801013
• ISSN: 13426230
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed