title: Performance analysis of fractional order extremum seeking control.
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.
authors.affiliation: Electrical and Computer Engineering Department, Utah State University, Logan, UT 84321, United States. Electronic address: hadi.malek@usu.edu.
authors.forename: Hadi
authors.initials: H
authors.lastname: Malek
authors.affiliation: Electrical and Computer Engineering Department, Utah State University, Logan, UT 84321, United States.
authors.forename: Sara
authors.initials: S
authors.lastname: Dadras
authors.affiliation: Electrical and Computer Engineering Department, Utah State University, Logan, UT 84321, United States.
authors.forename: YangQuan
authors.initials: Y
authors.lastname: Chen
keywords: Adaptive optimization; Extremum seeking control; Fractional order calculus