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This paper presents the comparison of two non-linear model-based control strategies for autonomous cars. A control oriented model of vehicle based on a bicycle model is used. The two control strategies use a model reference approach. Using…

Systems and Control · Computer Science 2017-10-11 Eugenio Alcalá , Laura Sellart , Vicenç Puig , Joseba Quevedo , Jordi Saludes , David Vázquez , Antonio López

The modeling of nonlinear dynamics based on Koopman operator theory, which is originally applicable only to autonomous systems with no control, is extended to non-autonomous control system without approximation to input matrix B. Prevailing…

Systems and Control · Electrical Eng. & Systems 2024-08-23 H. Harry Asada , Jose A. Solano-Castellanos

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary and incorporates a nonlinear input transformation, thereby…

Optimization and Control · Mathematics 2023-09-22 Vít Cibulka , Milan Korda , Tomáš Haniš

Training a model with access to human explanations can improve data efficiency and model performance on in- and out-of-domain data. Adding to these empirical findings, similarity with the process of human learning makes learning from…

Computation and Language · Computer Science 2022-04-20 Mareike Hartmann , Daniel Sonntag

The Koopman operator framework provides a perspective that non-linear dynamics can be described through the lens of linear operators acting on function spaces. As the framework naturally yields linear embedding models, there have been…

Optimization and Control · Mathematics 2024-12-09 Daisuke Uchida , Karthik Duraisamy

Mathematical models are used extensively for diverse tasks including analysis, optimization, and decision making. Frequently, those models are principled but imperfect representations of reality. This is either due to incomplete physical…

Machine Learning · Statistics 2017-11-15 Remi R. Lam , Lior Horesh , Haim Avron , Karen E. Willcox

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…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

Practical adaptive control implementations where human pilots coexist in the loop are still uncommon, despite their success in handling uncertain dynamical systems. This is owing to their special nonlinear characteristics which lead to…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Abdullah Habboush , Yildiray Yildiz

The fundamental lemma from behavioral systems theory yields a data-driven non-parametric system representation that has shown great potential for the data-efficient control of unknown linear and weakly nonlinear systems, even in the…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Ellmaier , Sebastian Kerz , Dirk Wollherr , Marion Leibold

Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this…

Data Analysis, Statistics and Probability · Physics 2018-03-22 John Harlim

This paper presents a study of the Koopman operator theory and its application to optimal control of a multi-robot system. The Koopman operator, while operating on a set of observation functions of the state vector of a nonlinear system,…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Gang Tao , Qianhong Zhao

For successful goal-directed human-robot interaction, the robot should adapt to the intentions and actions of the collaborating human. This can be supported by musculoskeletal or data-driven human models, where the former are limited to…

Robotics · Computer Science 2026-02-17 Kevin Haninger , Luka Peternel

Human-centred systems require an understanding of human actions in the physical world. Temporally extended sequences of actions are intentional and structured, yet existing methods for recognising what actions are performed often do not…

Artificial Intelligence · Computer Science 2026-04-21 Rimvydas Rubavicius , Manisha Dubey , N. Siddharth , Subramanian Ramamoorthy

When do locomotion controllers require reasoning about nonlinearities? In this work, we show that a whole-body model-predictive controller using a simple linear time-invariant approximation of the whole-body dynamics is able to execute…

This paper introduces a novel model-based adaptive shared control to allow for the identification and design challenge for shared-control systems, in which humans and automation share control tasks. The main challenge is the adaptive…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Balint Varga

This article provides an overview of model predictive control (MPC) frameworks for dynamic operation of nonlinear constrained systems. Dynamic operation is often an integral part of the control objective, ranging from tracking of reference…

Systems and Control · Electrical Eng. & Systems 2024-01-10 Johannes Köhler , Matthas A. Müller , Frank Allgöwer

Newton-Raphson controller is a powerful prediction-based variable gain integral controller. Basically, the classical model-based Newton-Raphson controller requires two elements: the prediction of the system output and the derivative of the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou

There is a clear desire to model and comprehend human behavior. Trends in research covering this topic show a clear assumption that many view human reasoning as the presupposed standard in artificial reasoning. As such, topics such as game…

Artificial Intelligence · Computer Science 2022-05-16 Andrew Fuchs , Andrea Passarella , Marco Conti

Markov chain-based modeling and Koopman operator-based modeling are two popular frameworks for data-driven modeling of dynamical systems. They share notable similarities from a computational and practitioner's perspective, especially for…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Saeid Tafazzol , Nan Li , Ilya Kolmanovsky , Dimitar Filev

Objective. Precise control of neural systems is essential to experimental investigations of how the brain controls behavior and holds the potential for therapeutic manipulations to correct aberrant network states. Model predictive control,…

Neurons and Cognition · Quantitative Biology 2024-08-06 Christof Fehrman , C. Daniel Meliza