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Achieving real-time capability is an essential prerequisite for the industrial implementation of nonlinear model predictive control (NMPC). Data-driven model reduction offers a way to obtain low-order control models from complex digital…

系统与控制 · 电气工程与系统科学 2023-09-12 Jan C. Schulze , Danimir T. Doncevic , Nils Erwes , Alexander Mitsos

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

最优化与控制 · 数学 2020-11-24 Kunwu Zhang , Yang Shi

Machine learning methods allow the prediction of nonlinear dynamical systems from data alone. The Koopman operator is one of them, which enables us to employ linear analysis for nonlinear dynamical systems. The linear characteristics of the…

机器学习 · 计算机科学 2024-10-02 Tomoya Nishikata , Jun Ohkubo

We present a robust model predictive control (MPC) framework for linear systems facing bounded parametric uncertainty and bounded disturbances. Our approach deviates from standard MPC formulations by integrating multi-step predictors, which…

最优化与控制 · 数学 2023-11-21 Danilo Saccani , Giancarlo Ferrari-Trecate , Melanie N. Zeilinger , Johannes Köhler

Online optimal control of quadrupedal robots would enable them to plan their movement in novel scenarios. Linear Model Predictive Control (LMPC) has emerged as a practical approach for real-time control. In LMPC, an optimization problem…

机器人学 · 计算机科学 2025-07-22 Chun-Ming Yang , Pranav A. Bhounsule

We propose a scalable reachability-based framework for probabilistic, data-driven safety verification of unknown nonlinear dynamics. We use Koopman theory with a neural network (NN) lifting function to learn an approximate linear…

系统与控制 · 电气工程与系统科学 2026-01-06 Devesh Nath , Haoran Yin , Glen Chou

This paper presents a unified and scalable framework for predictive and safe autonomous navigation in dynamic transportation environments by integrating model predictive control (MPC) with distributed Koopman operator learning.…

系统与控制 · 电气工程与系统科学 2026-01-06 Ali Azarbahram , Shenyu Liu , Gian Paolo Incremona

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

系统与控制 · 电气工程与系统科学 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

We present a framework to design nonlinear robust output feedback model predictive control (MPC) schemes that ensure constraint satisfaction under noisy output measurements and disturbances. We provide novel estimation methods to bound the…

系统与控制 · 电气工程与系统科学 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Koopman operator theory provides a framework for nonlinear dynamical system analysis and time-series forecasting by mapping dynamics to a space of real-valued measurement functions, enabling a linear operator representation. Despite the…

机器学习 · 计算机科学 2025-06-18 Yitian Zhang , Liheng Ma , Antonios Valkanas , Boris N. Oreshkin , Mark Coates

Robust model predictive control (MPC) aims to preserve performance under model-plant mismatch, yet robust formulations for nonlinear MPC (NMPC) with data-driven surrogates remain limited. This work proposes an offset-free robust NMPC scheme…

化学物理 · 物理学 2025-11-11 Carine Menezes Rebello , Erbet Almeida Costa , Idelfonso B. R. Nogueira

In this paper, we provide a theoretical analysis of closed-loop properties of a simple data-driven model predictive control (MPC) scheme. The formulation does not involve any terminal ingredients, thus allowing for a simple implementation…

最优化与控制 · 数学 2024-12-04 Joscha Bongard , Julian Berberich , Johannes Köhler , Frank Allgöwer

In this paper, a novel tube-based economic Model Predictive Control (MPC) scheme for uncertain systems that uses neither terminal costs nor terminal constraints is investigated. We show that the results from the undisturbed case can be…

系统与控制 · 电气工程与系统科学 2020-07-28 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper presents a deep learning based model predictive control algorithm for control affine nonlinear discrete time systems with matched and bounded state dependent uncertainties of unknown structure. Since the structure of…

最优化与控制 · 数学 2021-09-28 Prabhat K. Mishra , Mateus V. Gasparino , Andres E. B. Velsasquez , Girish Chowdhary

Most real-world systems are affected by external disturbances, which may be impossible or costly to measure. For instance, when autonomous robots move in dusty environments, the perception of their sensors is disturbed. Moreover, uneven…

最优化与控制 · 数学 2023-11-01 Filip Surma , Anahita Jamshidnejad

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

机器人学 · 计算机科学 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

This paper investigates the impact of approximation error in data-driven optimal control problem of nonlinear systems while using the Koopman operator. While the Koopman operator enables a simplified representation of nonlinear dynamics…

最优化与控制 · 数学 2026-03-31 Yicheng Lin , Bingxian Wu , Nan Bai , Yunxiao Ren , Zhisheng Duan

The Koopman operator serves as the theoretical backbone for machine learning of dynamical control systems, where the operator is heuristically approximated by extended dynamic mode decomposition (EDMD). In this paper, we propose SafEDMD, a…

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

We present KoopCast, a lightweight yet efficient model for trajectory forecasting in general dynamic environments. Our approach leverages Koopman operator theory, which enables a linear representation of nonlinear dynamics by lifting…

机器学习 · 计算机科学 2025-09-22 Jungjin Lee , Jaeuk Shin , Gihwan Kim , Joonho Han , Insoon Yang

Koopman operators provide tractable means of learning linear approximations of non-linear dynamics. Many approaches have been proposed to find these operators, typically based upon approximations using an a-priori fixed class of models.…

系统与控制 · 电气工程与系统科学 2021-02-09 Mario Sznaier
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