Stability and Convergence of a Randomized Model Predictive Control Strategy

Fuente: arXiv
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Main Authors: Veldman, Daniël, Borkowski, Alexandra, Zuazua, Enrique
Format: Preprint
Published: 2022
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author Veldman, Daniël
Borkowski, Alexandra
Zuazua, Enrique
author_facet Veldman, Daniël
Borkowski, Alexandra
Zuazua, Enrique
contents RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and convergence estimates are derived for RBMMPC of unconstrained linear systems. The obtained estimates are validated in a numerical example that also shows a clear computational advantage of RBM-MPC.
format Preprint
id arxiv_https___arxiv_org_abs_2211_05463
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Stability and Convergence of a Randomized Model Predictive Control Strategy
Veldman, Daniël
Borkowski, Alexandra
Zuazua, Enrique
Optimization and Control
RBM-MPC is a computationally efficient variant of Model Predictive Control (MPC) in which the Random Batch Method (RBM) is used to speed up the finite-horizon optimal control problems at each iteration. In this paper, stability and convergence estimates are derived for RBMMPC of unconstrained linear systems. The obtained estimates are validated in a numerical example that also shows a clear computational advantage of RBM-MPC.
title Stability and Convergence of a Randomized Model Predictive Control Strategy
topic Optimization and Control
url https://arxiv.org/abs/2211.05463