English
Related papers

Related papers: Koopman Operator Based Linear Model Predictive Con…

200 papers

Ensuring safe and effective collaboration between humans and autonomous legged robots is a fundamental challenge in shared autonomy, particularly for teleoperated systems navigating cluttered environments. Conventional shared-control…

Dynamic legged locomotion is a challenging topic because of the lack of established control schemes which can handle aerial phases, short stance times, and high-speed leg swings. In this paper, we propose a controller combining whole-body…

Robotics · Computer Science 2019-09-17 Donghyun Kim , Jared Di Carlo , Benjamin Katz , Gerardo Bledt , Sangbae Kim

Nonlinear receding horizon model predictive control is a powerful approach to controlling nonlinear dynamical systems. However, typical approaches that use the Jacobian, adjoint, and forward-backward passes may lose fidelity and efficacy…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Erina Yamaguchi , Sai Ravela

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…

Robotics · Computer Science 2026-05-19 Edoardo Caldarelli , Franco Coltraro , Adrià Colomé , Lorenzo Rosasco , Carme Torras

Koopman operators, since introduced by the French-born American mathematician Bernard Koopman in 1931, have been employed as a powerful tool for research in various scientific domains, such as ergodic theory, probability theory, geometry,…

Optimization and Control · Mathematics 2022-11-15 Wei Zhang , Jr-Shin Li

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

Robotics · Computer Science 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data. Building on the recent development of the Koopman model…

Fluid Dynamics · Physics 2018-06-08 Hassan Arbabi , Milan Korda , Igor Mezic

This paper presents a novel approach to enhance Model Predictive Control (MPC) for legged robots through Distributed Optimization. Our method focuses on decomposing the robot dynamics into smaller, parallelizable subsystems, and utilizing…

Robotics · Computer Science 2025-01-30 Lorenzo Amatucci , Giulio Turrisi , Angelo Bratta , Victor Barasuol , Claudio Semini

In this paper, we propose an efficient data-driven predictive control approach for general nonlinear processes based on a reduced-order Koopman operator. A Kalman-based sparse identification of nonlinear dynamics method is employed to…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Xuewen Zhang , Minghao Han , Xunyuan Yin

This work presents a data-driven Koopman operator-based modeling method using a model averaging technique. While the Koopman operator has been used for data-driven modeling and control of nonlinear dynamics, it is challenging to accurately…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy

Koopman operator theory yields powerful tools for modeling, analysis, and control of nonlinear dynamical systems. Prominently, linear time-invariant (LTI) Koopman representations have been proposed to enable the application of linear…

Optimization and Control · Mathematics 2026-05-29 Johannes Heeg , Karl Worthmann

The aim of this work is to control the longitudinal position of an autonomous vehicle with an internal combustion engine. The powertrain has an inherent dead-time characteristic and constraints on physical states apply since the vehicle is…

Systems and Control · Electrical Eng. & Systems 2021-01-15 André Kempf , Markus Herrmann-Wicklmayr , Steffen Müller

The Koopman framework proposes a linear representation of finite-dimensional nonlinear systems through a generally infinite-dimensional globally linear embedding. Originally, the Koopman formalism has been derived for autonomous systems. In…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Lucian Cristian Iacob , Roland Tóth , Maarten Schoukens

This paper presents a deep Koopman-based Economic Model Predictive Control (EMPC) for efficient operation of a laboratory-scale pasteurization unit (PU). The method uses Koopman operator theory to transform the complex, nonlinear system…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Patrik Valábek , Michaela Horváthová , Martin Klaučo

The Koopman operator and its data-driven approximations, such as extended dynamic mode decomposition (EDMD), are widely used for analysing, modelling, and controlling nonlinear dynamical systems. However, when the true Koopman…

Dynamical Systems · Mathematics 2026-02-05 Roland Schurig , Pieter van Goor , Karl Worthmann , Rolf Findeisen

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

Optimization and Control · Mathematics 2019-10-31 Ugo Rosolia , Francesco Borrelli

This paper proposes a novel control framework for agile and robust bipedal locomotion, addressing model discrepancies between full-body and reduced-order models. Specifically, assumptions such as constant centroidal inertia have introduced…

Robotics · Computer Science 2024-09-17 Seung Hyeon Bang , Jaemin Lee , Carlos Gonzalez , Luis Sentis

The ability to generate dynamic walking in real-time for bipedal robots with input constraints and underactuation has the potential to enable locomotion in dynamic, complex and unstructured environments. Yet, the high-dimensional nature of…

Robust adaptive model predictive control (RAMPC) is a novel control method that combines robustness guarantees with respect to unknown parameters and bounded disturbances into a model predictive control scheme. However, RAMPC has so far…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Alexandre Didier , Anilkumar Parsi , Jeremy Coulson , Roy S. Smith

State of the art quadrupedal locomotion approaches integrate Model Predictive Control (MPC) with Reinforcement Learning (RL), enabling complex motion capabilities with planning and terrain adaptive behaviors. However, they often face…

Robotics · Computer Science 2026-03-17 Prakrut Kotecha , Aditya Shirwatkar , Shishir Kolathaya