Machine Learning, Control and Optimization for Systems and Processes

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: closed (31 March 2025) | Viewed by 1072

Special Issue Editor


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Guest Editor
Mechanical Engineering Department, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224, USA
Interests: machine learning; model reduction; modeling; simulation; scientific machine learning

Special Issue Information

Dear Colleagues,

Novel machine learning algorithms are now being used in combination with physics-based modelling in engineering to tackle traditionally intractable problems. Many developments are appearing in this field with multiple researchers addressing the physics informed machine learning question in different applications. We propose a Special Issue of the journal Mathematics, focusing on the use of machine learning tools for the simulation, optimization, and control of real-time industrial processes. This Special Issue aims to collect the recent advances and developments in the models addressing physics-based machine learning techniques and applications related to the industrial systems and processes, especially dynamic applications requiring a fast and reliable feedback, ultimately in real-time. These dynamic applications involve an additional layer of complexity when creating an integrator, which is a simulator not accessing the exact outputs of the physical system at every time-step. Integrators aim to forecast an application response in the far future, after multiple time-steps.

Prof. Dr. Chady Ghnatios
Guest Editor

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Keywords

  • physics-based machine learning
  • simulation and optimization
  • control of dynamic systems
  • integrator systems
  • dynamic system forecast

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Published Papers (1 paper)

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Research

22 pages, 4959 KiB  
Article
Learning Transformed Dynamics for Efficient Control Purposes
by Chady Ghnatios, Joel Mouterde, Jerome Tomezyk, Joaquim Da Silva and Francisco Chinesta
Mathematics 2024, 12(14), 2251; https://doi.org/10.3390/math12142251 - 19 Jul 2024
Viewed by 697
Abstract
Learning linear and nonlinear dynamical systems from available data is a timely topic in scientific machine learning. Learning must be performed while enforcing the numerical stability of the learned model, the existing knowledge within an informed or augmented setting, or by taking into [...] Read more.
Learning linear and nonlinear dynamical systems from available data is a timely topic in scientific machine learning. Learning must be performed while enforcing the numerical stability of the learned model, the existing knowledge within an informed or augmented setting, or by taking into account the multiscale dynamics—for both linear and nonlinear dynamics. However, when the final objective of such a learned dynamical system is to be used for control purposes, learning transformed dynamics can be advantageous. Therefore, many alternatives exists, and the present paper focuses on two of them: the first based on the discovery and use of the so-called flat control and the second one based on the use of the Koopman theory. The main contributions when addressing the first is the discovery of the flat output transformation by using an original neural framework. Moreover, when using the Koopman theory, this paper proposes an original procedure for learning parametric dynamics in the latent space, which is of particular interest in control-based engineering applications. Full article
(This article belongs to the Special Issue Machine Learning, Control and Optimization for Systems and Processes)
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