Safe Adaptive-Sampling Control via Robust M-Step Hold Model Predictive Control

Fuente: arXiv
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Main Authors: Schutz, Spencer, Vallon, Charlott, Borrelli, Francesco
Format: Preprint
Published: 2026
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author Schutz, Spencer
Vallon, Charlott
Borrelli, Francesco
author_facet Schutz, Spencer
Vallon, Charlott
Borrelli, Francesco
contents In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model predictive control (MPC) to address this. Our formulation provides robust constraint satisfaction for an uncertain discrete-time system model with a fixed sampling time subject to an adaptable multi-step input hold (referred to as M-step hold). We show how to ensure recursive feasibility of the MPC utilizing M-step hold extensions of robust invariant sets, and demonstrate how to enable safe adaptive-sampling control via the online selection of M. We evaluate the utility of the robust M-step hold MPC formulation in a cruise control example.
format Preprint
id arxiv_https___arxiv_org_abs_2603_27374
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Safe Adaptive-Sampling Control via Robust M-Step Hold Model Predictive Control
Schutz, Spencer
Vallon, Charlott
Borrelli, Francesco
Systems and Control
In adaptive-sampling control, the control frequency can be adjusted during task execution. Ensuring that these changes do not jeopardize the safety of the system being controlled requires attention. We introduce robust M-step hold model predictive control (MPC) to address this. Our formulation provides robust constraint satisfaction for an uncertain discrete-time system model with a fixed sampling time subject to an adaptable multi-step input hold (referred to as M-step hold). We show how to ensure recursive feasibility of the MPC utilizing M-step hold extensions of robust invariant sets, and demonstrate how to enable safe adaptive-sampling control via the online selection of M. We evaluate the utility of the robust M-step hold MPC formulation in a cruise control example.
title Safe Adaptive-Sampling Control via Robust M-Step Hold Model Predictive Control
topic Systems and Control
url https://arxiv.org/abs/2603.27374