Results 31 to 40 of about 212,072 (202)

Temporal Forward-Backward Consistency, Not Residual Error, Measures the Prediction Accuracy of Extended Dynamic Mode Decomposition [PDF]

open access: greenIEEE Control Systems Letters, 2022
Extended Dynamic Mode Decomposition (EDMD) is a popular data-driven method to approximate the action of the Koopman operator on a linear function space spanned by a dictionary of functions.
Masih Haseli, Jörge E. Cortes
openalex   +3 more sources

Dictionary learning in Extended Dynamic Mode Decomposition using a reservoir computer [PDF]

open access: gold, 2019
We aim at improving extended dynamic mode decomposition that allows to linearize nonlinear systems.Indeed, the EDMD algorithm provides a finite-dimensional representation of the Koopman operator.Finally, the reservoir computer is trained to produce an efficient ...
Gulina, Marvyn; id_orcid 0000-0001-6420-6911   +1 more
openalex   +2 more sources

Efficient Nonlinear Model Predictive Control of Automated Vehicles

open access: yesMathematics, 2022
In this paper, an efficient model predictive control (MPC) of velocity tracking of automated vehicles is proposed, in which a reference signal is given a priori.
Shuyou Yu   +5 more
doaj   +1 more source

Trigonometric Embeddings in Polynomial Extended Mode Decomposition—Experimental Application to an Inverted Pendulum

open access: yesMathematics, 2021
The extended dynamic mode decomposition algorithm is a tool for accurately approximating the point spectrum of the Koopman operator. This algorithm provides an approximate linear expansion of non-linear discrete-time systems, which can be useful for ...
Camilo Garcia-Tenorio   +3 more
doaj   +1 more source

Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator

open access: yesNonlinear Engineering, 2021
Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states.
Garcia-Tenorio Camilo   +3 more
doaj   +1 more source

Analysis of chaotic economic models through Koopman operators, EDMD, Takens' theorem and Machine Learning

open access: yesData Science in Finance and Economics, 2022
We consider dynamical systems that have emerged in financial studies and exhibit chaotic behaviour. The main purpose is to develop a data-based method for reconstruction of the trajectories of these systems.
John Leventides   +3 more
doaj   +1 more source

Data-Driven Predictive Control of Interconnected Systems Using the Koopman Operator

open access: yesActuators, 2022
Interconnected systems are widespread in modern technological systems. Designing a reliable control strategy requires modeling and analysis of the system, which can be a complicated, or even impossible, task in some cases.
Duvan Tellez-Castro   +4 more
doaj   +1 more source

Decentralized Robust Active Disturbance Rejection Control of Modular Robot Manipulators: An Experimental Investigation With Emotional pHRI

open access: yesIEEE Access, 2022
This paper presents an active disturbance rejection control (ADRC) method for modular robot manipulators (MRMs) based on extended state observer (ESO), which solves the problem of trajectory tracking when modular robot manipulators facing the emotional ...
Xiao Pang   +3 more
doaj   +1 more source

Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems

open access: yesMathematics, 2021
We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
doaj   +1 more source

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