A Physics-informed Machine Learning-based Control Method for Nonlinear Dynamic Systems with Highly Noisy Measurements

Fuente: arXiv
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Autori principali: Ma, Mason, Wu, Jiajie, Post, Chase, Shi, Tony, Yi, Jingang, Schmitz, Tony, Wang, Hong
Natura: Preprint
Pubblicazione: 2023
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author Ma, Mason
Wu, Jiajie
Post, Chase
Shi, Tony
Yi, Jingang
Schmitz, Tony
Wang, Hong
author_facet Ma, Mason
Wu, Jiajie
Post, Chase
Shi, Tony
Yi, Jingang
Schmitz, Tony
Wang, Hong
contents This study presents a physics-informed machine learning-based control method for nonlinear dynamic systems with highly noisy measurements. Existing data-driven control methods that use machine learning for system identification cannot effectively cope with highly noisy measurements, resulting in unstable control performance. To address this challenge, the present study extends current physics-informed machine learning capabilities for modeling nonlinear dynamics with control and integrates them into a model predictive control framework. To demonstrate the capability of the proposed method we test and validate with two noisy nonlinear dynamic systems: the chaotic Lorenz 3 system, and turning machine tool. Analysis of the results illustrate that the proposed method outperforms state-of-the-art benchmarks as measured by both modeling accuracy and control performance for nonlinear dynamic systems under high-noise conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2311_07613
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A Physics-informed Machine Learning-based Control Method for Nonlinear Dynamic Systems with Highly Noisy Measurements
Ma, Mason
Wu, Jiajie
Post, Chase
Shi, Tony
Yi, Jingang
Schmitz, Tony
Wang, Hong
Systems and Control
Machine Learning
Dynamical Systems
This study presents a physics-informed machine learning-based control method for nonlinear dynamic systems with highly noisy measurements. Existing data-driven control methods that use machine learning for system identification cannot effectively cope with highly noisy measurements, resulting in unstable control performance. To address this challenge, the present study extends current physics-informed machine learning capabilities for modeling nonlinear dynamics with control and integrates them into a model predictive control framework. To demonstrate the capability of the proposed method we test and validate with two noisy nonlinear dynamic systems: the chaotic Lorenz 3 system, and turning machine tool. Analysis of the results illustrate that the proposed method outperforms state-of-the-art benchmarks as measured by both modeling accuracy and control performance for nonlinear dynamic systems under high-noise conditions.
title A Physics-informed Machine Learning-based Control Method for Nonlinear Dynamic Systems with Highly Noisy Measurements
topic Systems and Control
Machine Learning
Dynamical Systems
url https://arxiv.org/abs/2311.07613