Performance-driven Constrained Optimal Auto-Tuner for MPC

Fuente: arXiv
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Main Authors: Puigjaner, Albert Gassol, Prajapat, Manish, Carron, Andrea, Krause, Andreas, Zeilinger, Melanie N.
Format: Preprint
Published: 2025
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author Puigjaner, Albert Gassol
Prajapat, Manish
Carron, Andrea
Krause, Andreas
Zeilinger, Melanie N.
author_facet Puigjaner, Albert Gassol
Prajapat, Manish
Carron, Andrea
Krause, Andreas
Zeilinger, Melanie N.
contents A key challenge in tuning Model Predictive Control (MPC) cost function parameters is to ensure that the system performance stays consistently above a certain threshold. To address this challenge, we propose a novel method, COAT-MPC, Constrained Optimal Auto-Tuner for MPC. With every tuning iteration, COAT-MPC gathers performance data and learns by updating its posterior belief. It explores the tuning parameters' domain towards optimistic parameters in a goal-directed fashion, which is key to its sample efficiency. We theoretically analyze COAT-MPC, showing that it satisfies performance constraints with arbitrarily high probability at all times and provably converges to the optimum performance within finite time. Through comprehensive simulations and comparative analyses with a hardware platform, we demonstrate the effectiveness of COAT-MPC in comparison to classical Bayesian Optimization (BO) and other state-of-the-art methods. When applied to autonomous racing, our approach outperforms baselines in terms of constraint violations and cumulative regret over time.
format Preprint
id arxiv_https___arxiv_org_abs_2503_07127
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Performance-driven Constrained Optimal Auto-Tuner for MPC
Puigjaner, Albert Gassol
Prajapat, Manish
Carron, Andrea
Krause, Andreas
Zeilinger, Melanie N.
Machine Learning
Robotics
A key challenge in tuning Model Predictive Control (MPC) cost function parameters is to ensure that the system performance stays consistently above a certain threshold. To address this challenge, we propose a novel method, COAT-MPC, Constrained Optimal Auto-Tuner for MPC. With every tuning iteration, COAT-MPC gathers performance data and learns by updating its posterior belief. It explores the tuning parameters' domain towards optimistic parameters in a goal-directed fashion, which is key to its sample efficiency. We theoretically analyze COAT-MPC, showing that it satisfies performance constraints with arbitrarily high probability at all times and provably converges to the optimum performance within finite time. Through comprehensive simulations and comparative analyses with a hardware platform, we demonstrate the effectiveness of COAT-MPC in comparison to classical Bayesian Optimization (BO) and other state-of-the-art methods. When applied to autonomous racing, our approach outperforms baselines in terms of constraint violations and cumulative regret over time.
title Performance-driven Constrained Optimal Auto-Tuner for MPC
topic Machine Learning
Robotics
url https://arxiv.org/abs/2503.07127