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Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

This paper proposes a novel approach to design analog electronic circuits that implement Model Predictive Control (MPC) policies for dynamical systems described by affine models. Effective approaches to define a reduced-complexity Explicit…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Simone Pirrera , Lorenzo Calogero , Francesco Gabriele , Diego Regruto , Alessandro Rizzo , Gianluca Setti

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

This paper continues in the work from arXiv:1903.06103 [math.OC] where a nonlinear vehicle model was approximated in a purely data-driven manner by a linear predictor of higher order, namely the Koopman operator. The vehicle system…

Optimization and Control · Mathematics 2021-03-09 Vít Cibulka , Milan Korda , Tomáš Haniš , Martin Hromčík

Koopman-based learning methods can potentially be practical and powerful tools for dynamical robotic systems. However, common methods to construct Koopman representations seek to learn lifted linear models that cannot capture nonlinear…

Robotics · Computer Science 2021-05-18 Carl Folkestad , Joel W. Burdick

Model Predictive Control (MPC) method is a class of advanced control techniques most widely applied in industry. The major advantages of the MPC are its straightforward procedure which can be applied for both linear and nonlinear system.…

Systems and Control · Computer Science 2017-04-17 Mohammad Amin , Marta Molinas

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

Koopman operators are of infinite dimension and capture the characteristics of nonlinear dynamics in a lifted global linear manner. The finite data-driven approximation of Koopman operators results in a class of linear predictors, useful…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Xinglong Zhang , Wei Pan , Riccardo Scattolini , Shuyou Yu , Xin Xu

This paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Jin Sung Kim , Ying Shuai Quan , Chung Choo Chung

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

This paper presents a class of linear predictors for nonlinear controlled dynamical systems. The basic idea is to lift the nonlinear dynamics into a higher dimensional space where its evolution is approximately linear. In an uncontrolled…

Optimization and Control · Mathematics 2018-03-26 Milan Korda , Igor Mezić

This study presents an innovative approach to Model Predictive Control (MPC) by leveraging the powerful combination of Koopman theory and Deep Reinforcement Learning (DRL). By transforming nonlinear dynamical systems into a…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Md Nur-A-Adam Dony

Model Predictive Control (MPC) represents nowadays one of the main methods employed for process control in industry. Its strong suits comprise a simple algorithm based on a straightforward formulation and the flexibility to deal with…

Optimization and Control · Mathematics 2018-04-23 Alberto Zenere , Mattia Zorzi

Control of warm-water supply for dialysis treatment in a hospital environment is typical of safety-critical control problems. In order to guarantee the continuity of warm-water supply satisfying physical specifications for a wide range of…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Ryo Miyashita , Yoshihiko Susuki , Atsushi Ishigame

Model Predictive Control (MPC) is a powerful control strategy for power electronics, but it highly relies on manually-derived and topology-specific analytical models, which is labor-intensive and time-consuming in practical designs. To…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Jialin Zheng , Haoyu Wang , Yangbin Zeng , Han Xu , Di Mou , Hong Li , Patrick Wheeler , Sergio Vazquez , Leopoldo G. Franquelo

This letter presents an analytical linear parameter-varying (LPV) representation of quadrotor dynamics utilizing Koopman theory, facilitating computationally efficient linear model predictive control (LMPC) for real-time trajectory…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Santosh M. Rajkumar , Chengyu Yang , Yuliang Gu , Sheng Cheng , Naira Hovakimyan , Debdipta Goswami

Constraint handling during tracking operations is at the core of many real-world control implementations and is well understood when dynamic models of the underlying system exist, yet becomes more challenging when data-driven models are…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Ye Wang , Yujia Yang , Ye Pu , Chris Manzie

Koopman Model Predictive Control (MPC) uses a lifted linear predictor to efficiently handle constrained nonlinear systems. While constraint satisfaction and (practical) asymptotic stability have been studied, explicit guarantees of local…

Optimization and Control · Mathematics 2025-11-05 Xu Shang , Jorge Cortés , Yang Zheng

This paper presents Residual Koopman MPC (RK-MPC), a Koopman-based, data-driven model predictive control framework for quadruped locomotion that improves prediction fidelity while preserving real-time tractability. RK-MPC augments a nominal…

Robotics · Computer Science 2026-04-09 Sriram S. K. S. Narayanan , Umesh Vaidya

This paper presents a data-driven control framework for quadrotor systems that integrates a deep Koopman operator with model predictive control (DK-MPC). The deep Koopman operator is trained on sampled flight data to construct a…

Robotics · Computer Science 2025-08-20 Haitham El-Hussieny
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