Results 61 to 70 of about 1,745 (187)

Scaling Law of Neural Koopman Operators

CoRR
Data-driven neural Koopman operator theory has emerged as a powerful tool for linearizing and controlling nonlinear robotic systems. However, the performance of these data-driven models fundamentally depends on the trade-off between sample size and model dimensions, a relationship for which the scaling laws have remained unclear. This paper establishes
Abulikemu Abuduweili, Yuyang Pang, Feihan Li, Changliu Liu   +3 more
openaire   +2 more sources

Data-driven koopman operator-based detection and location for multi-source forced oscillations

International Journal of Electrical Power & Energy Systems
The identification and localization of oscillation sources (OSs) is crucial for the effective suppression of forced oscillations in power systems. Herein, we introduce a novel data-driven methodology, leveraging the Koopman operator, for the detection ...
Deyou Yang, Runlin Pu, Han Gao, Mingfeng Wang   +3 more
doaj   +1 more source

Output Regulation of Nonlinear Systems in a Koopman Operator Framework

, 2022
This thesis considers the problem of nonlinear output regulation in a Koopman operator framework. The goal of output regulation is to asymptotically track a reference and/or simultaneously reject a disturbance signal, both generated by some external ...
Kieboom, Bart (author)
core  

Optimality Deviation using the Koopman Operator

CoRR
This paper investigates the impact of approximation error in data-driven optimal control problem of nonlinear systems while using the Koopman operator. While the Koopman operator enables a simplified representation of nonlinear dynamics through a lifted state space, the presence of approximation error inevitably leads to deviations in the computed ...
Yicheng Lin, Bingxian Wu, Nan Bai, Yunxiao Ren, Zhisheng Duan   +4 more
openaire   +2 more sources

Estimating Transient Stability Regions of Large-Scale Power Systems Part I: Koopman Operator and Reduced-Order Model

CSEE Journal of Power and Energy Systems
This paper presents an estimation of transient stability regions for large-scale power systems. In Part I, a Koopman operator based model reduction (KOMR) method is proposed to derive a low-order dynamical model with reasonable accuracy for transient ...
Yuqing Lin, Tianhao Wen, Lei Chen, Q. H. Wu, Yang Liu   +4 more
doaj   +1 more source

On the anti-missile interception technique of unpowered phase based on data-driven theory

Mechanics & Industry, 2022
. The anti-missile interception technique of unpowered phase is of much importance in the military field, which depends on the prediction of the missile trajectory and the establishment of the missile model.
Huang Yong, Li Yang
doaj   +1 more source

Data-Driven Dynamic State Estimation Framework Using a Koopman Operator-Based Linear Predictor

IEEE Access
Dynamic state estimation (DSE) is a fundamental task in many fields, including control systems, robotics, and signal processing. Traditional DSE methods, which rely on mathematical models to describe system dynamics, are often limited in their ...
Deyou Yang, Han Gao, Zhe Chen, Yanling Lv, Lixin Wang   +4 more
doaj   +1 more source

Physics Informed Fully Embedded Koopman Operator-based Optimal Control of Two-Link Robotic System [PDF]

Modeling, Identification and Control
This paper presents a data-driven framework utilising neural networks to approximate the Koopman operator for a discrete-time representation of an electrically actuated two-link mechanical system, enabling the application of linear control techniques.
Jeppe H. Andersen, Jokin L. Berakoetxea, Stas Kokotovic, Per Johansen   +3 more
doaj   +1 more source

Glocal Hypergradient Estimation with Koopman Operator

CoRR
Gradient-based hyperparameter optimization methods update hyperparameters using hypergradients, gradients of a meta criterion with respect to hyperparameters. Previous research used two distinct update strategies: optimizing hyperparameters using global hypergradients obtained after completing model training or local hypergradients derived after every ...
Ryuichiro Hataya, Yoshinobu Kawahara
openaire   +2 more sources

Functional dimensionality of Koopman eigenfunction space

Results in Applied Mathematics
This work presents the general form solution of Koopman Partial Differential Equation for an autonomous system of N ordinary differential equations. We identify a domain in RN for which any number in the complex plane is an eigenvalue of the Koopman ...
Ido Cohen, Eli Appleboim, Gershon Wolansky   +2 more
doaj   +1 more source