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Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and lower computational costs of these models, compared to…

动力系统 · 数学 2025-01-08 William T. Redman , Dean Huang , Maria Fonoberova , Igor Mezić

Sparked by the Willems' fundamental lemma, a class of data-driven control methods has been developed for LTI systems. At the same time, the Koopman operator theory attempts to cast a nonlinear control problem into a standard linear one…

系统与控制 · 电气工程与系统科学 2021-03-02 Yingzhao Lian , Renzi Wang , Colin N. Jones

Integrating measurements and historical data can enhance control systems through learning-based techniques, but ensuring performance and safety is challenging. Robust model predictive control strategies, like stochastic model predictive…

系统与控制 · 电气工程与系统科学 2023-03-28 J. Pohlodek , H. Alsmeier , B. Morabito , C. Schlauch , A. Savchenko , R. Findeisen

Robotic cloth folding is a challenging task, particularly when considering dynamic folding tasks, which aim at folding cloth by fast motions that leverage its dynamics. When subject to such fast motions, the complexity of cloth dynamics…

机器人学 · 计算机科学 2026-05-19 Edoardo Caldarelli , Franco Coltraro , Adrià Colomé , Lorenzo Rosasco , Carme Torras

The accurate modeling and control of nonlinear dynamical effects are crucial for numerous robotic systems. The Koopman formalism emerges as a valuable tool for linear control design in nonlinear systems within unknown environments. However,…

系统与控制 · 电气工程与系统科学 2023-11-07 Daning Huang , Muhammad Bayu Prasetyo , Yin Yu , Junyi Geng

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

Water treatment facilities are critical infrastructure they must accommodate dynamic demand patterns without system disruption. These patterns can be scheduled, such as daily residential irrigation, or unexpected, such as demand spikes from…

系统与控制 · 电气工程与系统科学 2024-08-15 Ryan Mauery , Margaret Busse , Ilya Kovalenko

In this paper, data-driven algorithms based on Koopman Operator Theory are applied to identify and predict the nonlinear dynamics of a vapor compression system and cabin temperature in a light-duty electric vehicle. By leveraging a…

系统与控制 · 电气工程与系统科学 2025-04-08 Luca Meda , Stephanie Stockar

Mean field control provides a robust framework for coordinating large-scale populations with complex interactions and has wide applications across diverse fields. However, the inherent nonlinearity and the presence of unknown system…

最优化与控制 · 数学 2024-11-12 Yuhan Zhao , Juntao Chen , Yingdong Lu , Quanyan Zhu

Koopman operator theory, a powerful framework for discovering the underlying dynamics of nonlinear dynamical systems, was recently shown to be intimately connected with neural network training. In this work, we take the first steps in…

神经与进化计算 · 计算机科学 2021-10-08 Akshunna S. Dogra , William T Redman

Koopman operators provide a linear framework for data-driven analyses of nonlinear dynamical systems, but their infinite-dimensional nature presents major computational challenges. In this article, we offer an introductory guide to Koopman…

数值分析 · 数学 2025-10-28 Matthew J. Colbrook , Zlatko Drmač , Andrew Horning

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…

最优化与控制 · 数学 2018-03-26 Milan Korda , Igor Mezić

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model…

系统与控制 · 电气工程与系统科学 2025-05-13 Jose A. Borja-Conde , Juan M. Nadales , Filiberto Fele , Daniel Limon

Mechanistic dynamic process models may be too computationally expensive to be usable as part of a real-time capable predictive controller. We present a method for end-to-end learning of Koopman surrogate models for optimal performance in a…

机器学习 · 计算机科学 2025-03-06 Daniel Mayfrank , Na Young Ahn , Alexander Mitsos , Manuel Dahmen

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…

系统与控制 · 电气工程与系统科学 2023-10-05 Ye Wang , Yujia Yang , Ye Pu , Chris Manzie

Nonlinearity in dynamics has long been a major challenge in robotics, often causing significant performance degradation in existing control algorithms. For example, the navigation of bipedal robots can exhibit nonlinear behaviors even under…

机器人学 · 计算机科学 2026-03-10 Jeonghwan Kim , Yunhai Han , Harish Ravichandar , Sehoon Ha

Nonlinear differential equations are encountered as models of fluid flow, spiking neurons, and many other systems of interest in the real world. Common features of these systems are that their behaviors are difficult to describe exactly and…

系统与控制 · 电气工程与系统科学 2024-09-17 Zexin Sun , Mingyu Chen , John Baillieul

Developing agents that can perform complex control tasks from high-dimensional observations is a core ability of autonomous agents that requires underlying robust task control policies and adapting the underlying visual representations to…

机器人学 · 计算机科学 2024-09-06 Hemant Kumawat , Biswadeep Chakraborty , Saibal Mukhopadhyay

Data-driven predictive control methods can provide the constraint handling and optimization of model predictive control (MPC) without first-principles models. Two such methods differ in how they replace the model: Data-enabled predictive…

系统与控制 · 电气工程与系统科学 2026-04-02 Branislav Daráš , Patrik Valábek , Martin Klaučo

Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

动力系统 · 数学 2022-10-11 Dan Wilson