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Sequential Model-based Bayesian Optimization has been successful-ly applied to several application domains, characterized by complex search spaces, such as Automated Machine Learning and Neural Architecture Search. This paper focuses on…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Antonio Candelieri , Bruno Galuzzi , Ilaria Giordani , Francesco Archetti

In this paper, we propose a novel algorithm for learning the Koopman operator of a dynamical system from a \textit{small} amount of training data. In many applications of data-driven modeling, e.g. biological network modeling,…

Dynamical Systems · Mathematics 2021-03-09 Subhrajit Sinha , Umesh Vaidya , Enoch Yeung

The Koopman operator is beneficial for analyzing nonlinear and stochastic dynamics; it is linear but infinite-dimensional, and it governs the evolution of observables. The extended dynamic mode decomposition (EDMD) is one of the famous…

Numerical Analysis · Mathematics 2022-05-18 Jun Ohkubo

For dynamical systems involving decision making, the success of the system greatly depends on its ability to make good decisions with incomplete and uncertain information. By leveraging the Koopman operator and its adjoint property, we…

Dynamical Systems · Mathematics 2020-08-21 Adam R. Gerlach , Andrew Leonard , Jonathan Rogers , Chris Rackauckas

Recurrent neural networks are widely used on time series data, yet such models often ignore the underlying physical structures in such sequences. A new class of physics-based methods related to Koopman theory has been introduced, offering…

Computational Physics · Physics 2020-07-01 Omri Azencot , N. Benjamin Erichson , Vanessa Lin , Michael W. Mahoney

Model predictive control (MPC) has been shown to significantly improve the energy efficiency of buildings while maintaining thermal comfort. Data-driven approaches based on neural networks have been proposed to facilitate system modelling.…

Systems and Control · Electrical Eng. & Systems 2024-08-19 Marie-Christine Paré , Vasken Dermardiros , Antoine Lesage-Landry

This paper addresses a learning problem for nonlinear dynamical systems with incorporating any specified dissipativity property. The nonlinear systems are described by the Koopman operator, which is a linear operator defined on the…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Keita Hara , Masaki Inoue , Noboru Sebe

We propose a data-driven method for controlling the frequency and convergence rate of black-box nonlinear dynamical systems based on the Koopman operator theory. With the proposed method, a policy network is trained such that the…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Tomoharu Iwata , Yoshinobu Kawahara

Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics. A line of work relies on learning representations where…

Machine Learning · Computer Science 2023-03-14 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aissa El Bey

In this paper, we develop a robust economic model predictive controller for the containment of stochastic Susceptible-Exposed-Infected-Vigilant (SEIV) epidemic processes which drives the process to extinction quickly, while minimizing the…

Optimization and Control · Mathematics 2019-05-14 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

Accurate modeling and control of autonomous vehicles remain a fundamental challenge due to the nonlinear and coupled nature of vehicle dynamics. While Koopman operator theory offers a framework for deploying powerful linear control…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Mohammad Abtahi , Farhang Motallebi Araghi , Navid Mojahed , Shima Nazari

This paper proposes a data-driven, iterative approach for inverse optimal control (IOC), which aims to learn the objective function of a nonlinear optimal control system given its states and inputs. The approach solves the IOC problem in a…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Zihao Liang , Wenjian Hao , Shaoshuai Mou

Traditional control methods often show limitations in dealing with complex nonlinear systems, especially when it is difficult to accurately obtain the exact system model, and the control accuracy and stability are difficult to guarantee. To…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Yangjun Sun , Zhiliang Liu

Model Predictive Control (MPC) is the principal control technique used in industrial applications. Although it offers distinguishable qualities that make it ideal for industrial applications, it can be questioned its robustness regarding…

Optimization and Control · Mathematics 2017-03-16 Alberto Zenere , Mattia Zorzi

Soft robots are challenging to model and control as inherent non-linearities (e.g., elasticity and deformation), often requires complex explicit physics-based analytical modeling (e.g., a priori geometric definitions). While machine…

Robotics · Computer Science 2022-10-17 Naoto Komeno , Brendan Michael , Katharina Küchler , Edgar Anarossi , Takamitsu Matsubara

We develop a novel data-driven robust model predictive control (DDRMPC) approach for automatic control of irrigation systems. The fundamental idea is to integrate both mechanistic models, which describe dynamics in soil moisture variations,…

Systems and Control · Computer Science 2020-06-16 Chao Shang , Wei-Han Chen , Abraham Duncan Stroock , Fengqi You

We present a data-efficient algorithm for learning models for model-predictive control (MPC). Our approach, Jacobian-Regularized Dynamic-Mode Decomposition (JDMD), offers improved sample efficiency over traditional Koopman approaches based…

Robotics · Computer Science 2023-01-31 Brian E. Jackson , Jeong Hun Lee , Kevin Tracy , Zachary Manchester

The design and analysis of optimal control policies for dynamical systems can be complicated by nonlinear dependence in the state variables. Koopman operators have been used to simplify the analysis of dynamical systems by mapping the flow…

Dynamical Systems · Mathematics 2019-08-07 Craig Bakker , Steven Rosenthal , Kathleen E. Nowak

This paper proposes a novel real-time algorithm for controlling wave energy converters (WECs). We begin with the economic model predictive control (MPC) problem formulation and apply a novel, first-order optimization algorithm inspired by…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Simone Pirrera , Nicolas Faedo , Sophie M. Fosson , Diego Regruto

This study proposes a general, scalable method to learn control-oriented thermal models of buildings that could enable wide-scale deployment of cost-effective predictive controls. An Unscented Kalman Filter augmented for parameter and…

Systems and Control · Computer Science 2016-01-13 Peter Radecki , Brandon Hencey