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We propose a fully data-driven, Koopman-based framework for statistically robust control of discrete-time nonlinear systems with linear embeddings. Establishing a connection between the Koopman operator and contraction theory, it offers…

机器人学 · 计算机科学 2026-03-24 Koki Hirano , Hiroyasu Tsukamoto

In this paper, we propose a novel reference-free iterative learning model predictive control (MPC). In the proposed method, a certificate function based on the concept of Control Lyapunov Barrier Function (CLBF) is learned using data…

系统与控制 · 电气工程与系统科学 2025-07-21 Wataru Hashimoto , Kazumune Hashimoto , Masako Kishida , Shigemasa Takai

This paper studies quantum-encrypted explicit MPC for constrained discrete-time linear systems in a cloud-based architecture. A finite-horizon quadratic MPC problem is solved offline to obtain a piecewise-affine controller. Shared quantum…

系统与控制 · 电气工程与系统科学 2026-03-25 Yingjie Mi , Zihao Ren , Lei Wang , Daniel E. Quevedo , Guodong Shi

In this paper, we consider the design of data-driven predictive controllers for nonlinear systems from input-output data via linear-in-control input Koopman lifted models. Instead of identifying and simulating a Koopman model to predict…

最优化与控制 · 数学 2024-05-03 Thomas de Jong , Valentina Breschi , Maarten Schoukens , Mircea Lazar

This paper focuses on the trajectory tracking control problem for an articulated unmanned ground vehicle. We propose and compare two approaches in terms of performance and computational complexity. The first uses a nonlinear mathematical…

系统与控制 · 电气工程与系统科学 2021-03-26 Erkan Kayacan , Wouter Saeys , Herman Ramon , Calin Belta , Joshua M. Peschel

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

系统与控制 · 电气工程与系统科学 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

最优化与控制 · 数学 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska

Model predictive control (MPC) is a powerful control method that allows to directly include state and input constraints into the controller design. However, errors in the model, e.g., caused by unknown disturbances, can lead to constraint…

系统与控制 · 电气工程与系统科学 2025-12-08 Felix Brändle , Frank Allgöwer

In a recent article, we presented a framework to control nonlinear partial differential equations (PDEs) by means of Koopman operator based reduced models and concepts from switched systems. The main idea was to transform a control system…

最优化与控制 · 数学 2019-05-15 Sebastian Peitz

In recent years, efficient optimization algorithms for Nonlinear Model Predictive Control (NMPC) have been proposed, that significantly reduce the on-line computational time. In particular, direct multiple shooting and Sequential Quadratic…

系统与控制 · 计算机科学 2018-11-22 Yutao Chen , Mattia Bruschetta , Davide Cuccato , Alessandro Beghi

Controlling nonlinear dynamical systems remains a central challenge in a wide range of applications, particularly when accurate first-principle models are unavailable. Data-driven approaches offer a promising alternative by designing…

系统与控制 · 电气工程与系统科学 2025-12-23 Robin Strässer , Karl Worthmann , Igor Mezić , Julian Berberich , Manuel Schaller , Frank Allgöwer

In this paper, we present a robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

系统与控制 · 计算机科学 2017-01-13 R. V. Bobiti , M. Lazar

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) deals with nonlinear models and/or constraints. A Continuation/GMRES Method for NMPC, suggested by T. Ohtsuka in 2004, uses…

最优化与控制 · 数学 2016-06-13 Andrew Knyazev , Alexander Malyshev

A novel splitting scheme to solve parametric multiconvex programs is presented. It consists of a fixed number of proximal alternating minimisations and a dual update per time step, which makes it attractive in a real-time Nonlinear Model…

最优化与控制 · 数学 2014-07-22 Jean-Hubert Hours , Colin N. Jones

We develop a new generalization of Koopman operator theory that incorporates the effects of inputs and control. Koopman spectral analysis is a theoretical tool for the analysis of nonlinear dynamical systems. Moreover, Koopman is intimately…

最优化与控制 · 数学 2016-02-25 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

We consider the problem of safe control design for a class of nonlinear, control-affine systems subject to an unknown, additive, nonlinear disturbance. Leveraging recent advancements in the application of Koopman operator theory to the…

最优化与控制 · 数学 2022-12-02 Mitchell Black , Dimitra Panagou

Mixed vehicle platoons, comprising connected and automated vehicles (CAVs) and human-driven vehicles (HDVs), hold significant potential for enhancing traffic performance. However, most existing control strategies assume linear system…

系统与控制 · 电气工程与系统科学 2025-11-07 Shuai Li , Jiawei Wang , Kaidi Yang , Qing Xu , Jianqiang Wang , Keqiang Li

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

系统与控制 · 电气工程与系统科学 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

In this paper, we investigate the problem of Model Predictive Control (MPC) of dynamic systems for high-level specifications described by Signal Temporal Logic (STL) formulae. Recent works show that MPC has the great potential in handling…

系统与控制 · 电气工程与系统科学 2022-11-16 Xinyi Yu , Chuwei Wang , Dingran Yuan , Shaoyuan Li , Xiang Yin