On evolutionary system identification with applications to nonlinear benchmarks

• Published in: Mechanical systems and signal processing Vol. 112; pp. 194 - 232
• Main Authors: Worden, K., Barthorpe, R.J., Cross, E.J., Dervilis, N., Holmes, G.R., Manson, G., Rogers, T.J.
• Format: Journal Article
• Language: English
• Published: Berlin Elsevier Ltd 01.11.2018; Elsevier BV
• Subjects: Algorithms; Benchmarks; Best practice; Differential evolution; Evolutionary optimisation; JADE; Mathematical models; Nonlinear system identification; Nonlinear systems; Optimization; SADE; System identification; White-, grey-, black-box models; Workshops; Differential evolution; SADE; JADE; Evolutionary optimisation; Nonlinear system identification; White-, grey-, black-box models
• ISSN: 0888-3270; 1096-1216
• DOI: 10.1016/j.ymssp.2018.04.001

•The paper presents the research associated with the VUB Workshop on Nonlinear System Identification.•A summary of a keynote from the meeting is presented, providing an overview and analysis of evolutionary and Bayesian frameworks for identification.•New evolutionary algorithms (to SI) are introduced, leading to the best benchmark results in two out of three cases.•A new hybrid/grey box approach is presented, based on evolutionary optimisation of a physics-based model combined with Gaussian process NARX models. This paper presents a record of the participation of the authors in a workshop on nonlinear system identification held in 2016. It provides a summary of a keynote lecture by one of the authors and also gives an account of how the authors developed identification strategies and methods for a number of benchmark nonlinear systems presented as challenges, before and during the workshop. It is argued here that more general frameworks are now emerging for nonlinear system identification, which are capable of addressing substantial ranges of problems. One of these frameworks is based on evolutionary optimisation (EO); it is a framework developed by the authors in previous papers and extended here. As one might expect from the ‘no-free-lunch’ theorem for optimisation, the methodology is not particularly sensitive to the particular (EO) algorithm used, and a number of different variants are presented in this paper, some used for the first time in system identification problems, which show equal capability. In fact, the EO approach advocated in this paper succeeded in finding the best solutions to two of the three benchmark problems which motivated the workshop. The paper provides considerable discussion on the approaches used and makes a number of suggestions regarding best practice; one of the major new opportunities identified here concerns the application of grey-box models which combine the insight of any prior physical-law based models (white box) with the power of machine learners with universal approximation properties (black box).