Space-filling Optimization of Excitation Signals for Nonlinear System Identification

Volker Smits, Oliver Nelles

2022

Abstract

The focus of this paper is on space-filling optimization of excitation signals for nonlinear dynamic multi-variate systems. Therefore, the study proposes an extension of the Genetic Optimized Time Amplitude Signal (GOATS) to multi-variate nonlinear dynamic systems, an incremental version of GOATS (iGOATS), a new space-filling loss function based on Monte Carlo Uniform Distribution Sampling Approximation (MCUDSA), and a compression algorithm to significantly speed up optimizations of space-filling loss functions. The results show that the GOATS and iGOATS significantly outperform the state-of-the-art excitation signals Amplitude Pseudo Random Binary Signal (APRBS), Optimized Nonlinear Input Signal (OMNIPUS), and Multi-Sine in the achievable model performances. This is demonstrated on a two-dimensional artificially created nonlinear dynamic system. Beside the good expectable model quality, the GOATS and iGOATS are suitable for the usage for stiff systems, supplementing existing data, and easy incorporation of constraints.

Paper Citation

in Harvard Style

Smits V. and Nelles O. (2022). Space-filling Optimization of Excitation Signals for Nonlinear System Identification. In Proceedings of the 19th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-585-2, pages 255-262. DOI: 10.5220/0011338700003271

in Bibtex Style

@conference{icinco22,
author={Volker Smits and Oliver Nelles},
title={Space-filling Optimization of Excitation Signals for Nonlinear System Identification},
booktitle={Proceedings of the 19th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2022},
pages={255-262},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011338700003271},
isbn={978-989-758-585-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 19th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Space-filling Optimization of Excitation Signals for Nonlinear System Identification
SN - 978-989-758-585-2
AU - Smits V.
AU - Nelles O.
PY - 2022
SP - 255
EP - 262
DO - 10.5220/0011338700003271