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Application of nonlinear model predictive control (NMPC) to problems with hybrid dynamical systems, disjoint constraints, or discrete controls often results in mixed-integer formulations with both continuous and discrete decision variables.…

系统与控制 · 电气工程与系统科学 2024-01-24 Christopher A. Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

Solving large-scale nonlinear model predictive control (NMPC) problems at kilohertz (kHz) rates on standard processors remains a formidable challenge. This paper proposes a Koopman-BoxQP framework that i) learns a linear Koopman…

系统与控制 · 电气工程与系统科学 2026-02-23 Liang Wu , Wallace Gian Yion Tan , Richard D. Braatz , Ján Drgoňa

Nonlinear Model Predictive Control (NMPC) is a powerful approach for controlling highly dynamic robotic systems, as it accounts for system dynamics and optimizes control inputs at each step. However, its high computational complexity makes…

机器人学 · 计算机科学 2026-02-27 Van Chung Nguyen , Pratik Walunj , Chuong Le , An Duy Nguyen , Hung Manh La

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…

系统与控制 · 电气工程与系统科学 2022-03-22 Xinglong Zhang , Wei Pan , Riccardo Scattolini , Shuyou Yu , Xin Xu

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…

机器人学 · 计算机科学 2021-05-18 Carl Folkestad , Joel W. Burdick

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…

最优化与控制 · 数学 2024-12-05 Daisuke Uchida , Karthik Duraisamy

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

最优化与控制 · 数学 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

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…

系统与控制 · 电气工程与系统科学 2025-05-22 Md Nur-A-Adam Dony

We use Koopman theory for data-driven model reduction of nonlinear dynamical systems with controls. We propose generic model structures combining delay-coordinate encoding of measurements and full-state decoding to integrate reduced Koopman…

系统与控制 · 电气工程与系统科学 2024-01-10 Jan C. Schulze , Alexander Mitsos

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…

最优化与控制 · 数学 2018-04-23 Alberto Zenere , Mattia Zorzi

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

最优化与控制 · 数学 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in…

最优化与控制 · 数学 2015-09-10 Andrew Knyazev , Yuta Fujii , Alexander Malyshev

This paper presents a parallel Monte Carlo simulation based performance quantification method for nonlinear model predictive control (NMPC) in closed-loop. The method provides distributions for the controller performance in stochastic…

系统与控制 · 电气工程与系统科学 2023-06-22 Morten Wahlgreen Kaysfeld , Mario Zanon , John Bagterp Jørgensen

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…

系统与控制 · 电气工程与系统科学 2025-10-20 Santosh M. Rajkumar , Chengyu Yang , Yuliang Gu , Sheng Cheng , Naira Hovakimyan , Debdipta Goswami

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…

系统与控制 · 电气工程与系统科学 2025-07-04 Adriano del Río , Christoph Stoeffler

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

系统与控制 · 电气工程与系统科学 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

系统与控制 · 电气工程与系统科学 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

Online optimal control of quadruped robots would enable them to adapt to varying inputs and changing conditions in real time. A common way of achieving this is linear model predictive control (LMPC), where a quadratic programming (QP)…

机器人学 · 计算机科学 2025-08-13 Chun-Ming Yang , Pranav A. Bhounsule

We present a model predictive control (MPC) framework to solve the constrained nonlinear output regulation problem. The main feature of the proposed framework is that the application does not require the solution to classical regulator…

系统与控制 · 电气工程与系统科学 2021-06-02 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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…

最优化与控制 · 数学 2021-03-09 Vít Cibulka , Milan Korda , Tomáš Haniš , Martin Hromčík