Fractional Order Extremum Seeking Control: Performance and Stability Analysis

In this paper, a novel extremum-seeking control algorithm called fractional order extremum-seeking control is analyzed and benchmarked against the traditional integer order one. Utilizing fractional order operators in extremum-seeking scheme improves the convergence speed, robustness, and performanc...

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Bibliographic Details
Published inIEEE/ASME transactions on mechatronics Vol. 21; no. 3; pp. 1620 - 1628
Main Authors Malek, Hadi, YangQuan Chen
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithm design and analysis
Analytical models
Convergence
Cutoff frequency
Extremum seeking control
fractional order operators
Heuristic algorithms
Mathematical model
nonlinear optimization
Stability analysis
fractional order operators
Extremum-seeking control (ESC)
nonlinear optimization
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Summary:In this paper, a novel extremum-seeking control algorithm called fractional order extremum-seeking control is analyzed and benchmarked against the traditional integer order one. Utilizing fractional order operators in extremum-seeking scheme improves the convergence speed, robustness, and performance of this method without employing additional blocks. Using averaging model, the detailed analysis of fractional order extremum-seeking control is presented. Simulation and experimental results support the mathematical analysis and demonstrate that the proposed scheme outperforms the traditional extremum-seeking algorithm.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1083-4435
1941-014X
DOI:10.1109/TMECH.2016.2517621