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Malek H, Dadras S, Chen Y. Performance analysis of fractional order extremum seeking control. ISA Trans. 2016;63:281-287doi: 10.1016/j.isatra.2016.02.024.
Malek, H., Dadras, S., & Chen, Y. (2016). Performance analysis of fractional order extremum seeking control. ISA transactions, 63281-287. https://doi.org/10.1016/j.isatra.2016.02.024
Malek, Hadi, et al. "Performance analysis of fractional order extremum seeking control." ISA transactions vol. 63 (2016): 281-287. doi: https://doi.org/10.1016/j.isatra.2016.02.024
Malek H, Dadras S, Chen Y. Performance analysis of fractional order extremum seeking control. ISA Trans. 2016 Jul;63:281-287. doi: 10.1016/j.isatra.2016.02.024. Epub 2016 Apr 20. PMID: 27000632.
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ISA Trans. 2016 Jul;63:281-287. doi: 10.1016/j.isatra.2016.02.024. Epub 2016 Apr 20.

Performance analysis of fractional order extremum seeking control.

ISA transactions

Hadi Malek, Sara Dadras, YangQuan Chen

Affiliations

  1. Electrical and Computer Engineering Department, Utah State University, Logan, UT 84321, United States. Electronic address: [email protected].
  2. Electrical and Computer Engineering Department, Utah State University, Logan, UT 84321, United States.

PMID: 27000632 DOI: 10.1016/j.isatra.2016.02.024

Abstract

Extremum-seeking scheme is a powerful adaptive technique to optimize steady-state system performance. In this paper, a novel extremum-seeking scheme for the optimization of nonlinear plants using fractional order calculus is proposed. The fractional order extremum-seeking algorithm only utilizes output measurements of the plant, however, it performs superior in many aspects such as convergence speed and robustness. A detailed stability analysis is given to not only guarantee a faster convergence of the system to an adjustable neighborhood of the optimum but also confirm a better robustness for proposed algorithm. Furthermore, simulation and experimental results demonstrate that the fractional order extremum-seeking scheme for nonlinear systems outperforms the traditional integer order one.

Copyright © 2016 ISA. Published by Elsevier Ltd. All rights reserved.

Keywords: Adaptive optimization; Extremum seeking control; Fractional order calculus

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