Performance analysis of fractional order extremum seeking control

• Published in: ISA transactions Vol. 63; pp. 281 - 287
• Main Authors: Malek, Hadi, Dadras, Sara, Chen, YangQuan
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.07.2016
• Subjects: Adaptive optimization; Algorithms; Calculus; Computer simulation; Convergence; Dynamical systems; Extremum seeking control; Fractional order calculus; Mathematical analysis; Optimization; Robustness; Fractional order calculus; Extremum seeking control; Adaptive optimization
• ISSN: 0019-0578; 1879-2022
• DOI: 10.1016/j.isatra.2016.02.024

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. •Propose a new extremum seeking control (ESC) algorithm using fractional order Operators.•Analyze the stability of fractional order ESC.•Validate FOESC through simulation and practical results.