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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…

机器人学 · 计算机科学 2026-04-09 Sriram S. K. S. Narayanan , Umesh Vaidya

Achieving rapid and time-deterministic stabilization for complex systems characterized by strong nonlinearities and parametric uncertainties presents a significant challenge. Traditional model-based control relies on precise system models,…

系统与控制 · 电气工程与系统科学 2025-07-04 Yue Wu

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

系统与控制 · 电气工程与系统科学 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

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

In this paper, we propose an adaptive data-driven min-max model predictive control (MPC) scheme for discrete-time linear time-varying (LTV) systems. We assume that prior knowledge of the system dynamics and bounds on the variations are…

系统与控制 · 电气工程与系统科学 2026-03-09 Yifan Xie , Julian Berberich , Frank Allgöwer

We present a data-driven shared control algorithm that can be used to improve a human operator's control of complex dynamic machines and achieve tasks that would otherwise be challenging, or impossible, for the user on their own. Our method…

机器人学 · 计算机科学 2020-06-15 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

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

This paper proposes a unified family of learnable Koopman operator parameterizations that integrate linear dynamical systems theory with modern deep learning forecasting architectures. We introduce four learnable Koopman…

机器学习 · 计算机科学 2026-03-16 Ali Forootani , Raffaele Iervolino

Recurrent neural networks are widely used on time series data, yet such models often ignore the underlying physical structures in such sequences. A new class of physics-based methods related to Koopman theory has been introduced, offering…

计算物理 · 物理学 2020-07-01 Omri Azencot , N. Benjamin Erichson , Vanessa Lin , Michael W. Mahoney

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

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

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

Accurate modeling and control of autonomous vehicles remain a fundamental challenge due to the nonlinear and coupled nature of vehicle dynamics. While Koopman operator theory offers a framework for deploying powerful linear control…

系统与控制 · 电气工程与系统科学 2025-07-18 Mohammad Abtahi , Farhang Motallebi Araghi , Navid Mojahed , Shima Nazari

We study finite-horizon quadratic control of linear systems with bilinear observations, in which the control input affects not only the state dynamics but also the partial observations of the state. In this setting, the separation principle…

最优化与控制 · 数学 2026-04-28 Daniel Cao , Beixi Du , Andrew Lowitt , Sunmook Choi , Sarah Dean , Yahya Sattar

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

机器人学 · 计算机科学 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

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

Climate-controlled cabins have for decades been standard in vehicles. Model Predictive Controllers (MPCs) have shown promising results in achieving temperature tracking in vehicle cabins and may improve upon model-free control performance.…

系统与控制 · 电气工程与系统科学 2023-10-06 David Stenger , Tim Reuscher , Heike Vallery , Dirk Abel

Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator have proven to be successful tools for forecasting, feature learning, state estimation, and control. It has become well…

动力系统 · 数学 2023-10-26 Samuel E. Otto , Sebastian Peitz , Clarence W. Rowley

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

Current model-free adaptive control (MFAC) can hardly deal with the time delay problem in multiple-input multiple-output (MIMO) systems. To solve this problem, a novel model-free adaptive predictive control (MFAPC) method is proposed.…

系统与控制 · 电气工程与系统科学 2023-11-21 Feilong Zhang