Data-driven feedback stabilisation of nonlinear systems: Koopman-based model predictive control
From MaRDI portal
Publication:6163392
DOI10.1080/00207179.2021.2013541zbMath1527.93346arXiv2005.09741OpenAlexW4200168723MaRDI QIDQ6163392
Unnamed Author, Unnamed Author, Sang Hwan Son
Publication date: 26 June 2023
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.09741
Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Operator-theoretic methods (93B28) Model predictive control (93B45)
Cites Work
- Unnamed Item
- Unnamed Item
- A universal formula for stabilization with bounded controls
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- On the inherent robustness of optimal and suboptimal nonlinear MPC
- On convergence of extended dynamic mode decomposition to the Koopman operator
- Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control
- A `universal' construction of Artstein's theorem on nonlinear stabilization
- Linearization in the large of nonlinear systems and Koopman operator spectrum
- Constrained model predictive control: Stability and optimality
- Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control
- Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
- Spectral properties of dynamical systems, model reduction and decompositions
- On dynamic mode decomposition: theory and applications
- On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics
- Applied Koopmanism
- Global Stability Analysis Using the Eigenfunctions of the Koopman Operator
- Meshless Galerkin methods using radial basis functions
- Generalizing Koopman Theory to Allow for Inputs and Control
- Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator
- Lyapunov-Based Model Predictive Control of Nonlinear Systems Subject to Data Losses
- Move blocked model predictive control with guaranteed stability and improved optimality using linear interpolation of base sequences
- Predictive control of switched nonlinear systems with scheduled mode transitions
- Linearly Recurrent Autoencoder Networks for Learning Dynamics
This page was built for publication: Data-driven feedback stabilisation of nonlinear systems: Koopman-based model predictive control