High-gain model-following control for trajectory tracking

Fuente: arXiv
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Autori principali: Tietze, Nicals, Wulff, Kai, Reger, Johann
Natura: Preprint
Pubblicazione: 2025
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author Tietze, Nicals
Wulff, Kai
Reger, Johann
author_facet Tietze, Nicals
Wulff, Kai
Reger, Johann
contents We consider trajectory tracking for minimum-phase nonlinear systems in Byrnes-Isidori form using the model-following control (MFC) architecture. The tracking problem is motivated by a hierarchical control concept where a higher-level instance provides the reference trajectory at run-time. We present a computational efficient implementation of the feedback linearisation MFC design, and apply high-gain feedback in the process control loop (PCL) to achieve practical tracking in presence of Lipschitz perturbations. Our main results establish ultimate boundedness of the tracking error and give a constructive bound for the high-gain scaling parameter to achieve arbitrary tracking precision. Further we establish that the peaking phenomenon can be attenuated using MFC. We demonstrate the results via an automotive case study considering advanced engine-based cruise control.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13463
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle High-gain model-following control for trajectory tracking
Tietze, Nicals
Wulff, Kai
Reger, Johann
Systems and Control
We consider trajectory tracking for minimum-phase nonlinear systems in Byrnes-Isidori form using the model-following control (MFC) architecture. The tracking problem is motivated by a hierarchical control concept where a higher-level instance provides the reference trajectory at run-time. We present a computational efficient implementation of the feedback linearisation MFC design, and apply high-gain feedback in the process control loop (PCL) to achieve practical tracking in presence of Lipschitz perturbations. Our main results establish ultimate boundedness of the tracking error and give a constructive bound for the high-gain scaling parameter to achieve arbitrary tracking precision. Further we establish that the peaking phenomenon can be attenuated using MFC. We demonstrate the results via an automotive case study considering advanced engine-based cruise control.
title High-gain model-following control for trajectory tracking
topic Systems and Control
url https://arxiv.org/abs/2506.13463