L. Markolf and O. Stursberg: "Receding-Horizon Control of Constrained Switched Systems with Neural Networks as Parametric Function Approximators". In: SN Computer Science, vol. 4, no. 62, 2023
Abstract
This work studies receding-horizon control of discrete-time switched linear systems subject to polytopic constraints for the continuous states and inputs. The objective is to approximate the optimal receding-horizon control strategy for cases in which the online computation is intractable due to the necessity of solving mixed-integer quadratic programs in each discrete time instant. The proposed approach builds upon an approximated optimal finite-horizon control law in closed-loop form with guaranteed constraint satisfaction. The paper derives the properties of recursive feasibility and asymptotic stability for the proposed approach. A numerical example is provided for illustration and evaluation of the approach.
BibTex
@article{markolf2022recedinghorizon,
abstract = {This work studies receding-horizon control of discrete-time switched linear systems subject to polytopic constraints for the continuous states and inputs. The objective is to approximate the optimal receding-horizon control strategy for cases in which the online computation is intractable due to the necessity of solving mixed-integer quadratic programs in each discrete time instant. The proposed approach builds upon an approximated optimal finite-horizon control law in closed-loop form with guaranteed constraint satisfaction. The paper derives the properties of recursive feasibility and asymptotic stability for the proposed approach. A numerical example is provided for illustration and evaluation of the approach.},
author = {Markolf, Lukas and Stursberg, Olaf},
journal = {SN Computer Science},
keywords = {isac-www},
number = 62,
title = {Receding-Horizon Control of Constrained Switched Systems with Neural Networks as Parametric Function Approximators},
volume = 4,
year = 2023
}
DOI
https://doi.org/10.1007/s42979-022-01442-0
URL
https://link.springer.com/article/10.1007/s42979-022-01442-0