On the constrained feedback linearization control based on the MILP representation of a ReLU-ANN

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Do, Huu-Thinh, Prodan, Ionela
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866929356804194304
author Do, Huu-Thinh
Prodan, Ionela
author_facet Do, Huu-Thinh
Prodan, Ionela
contents In this work, we explore the efficacy of rectified linear unit artificial neural networks in addressing the intricate challenges of convoluted constraints arising from feedback linearization mapping. Our approach involves a comprehensive procedure, encompassing the approximation of constraints through a regression process. Subsequently, we transform these constraints into an equivalent representation of mixed-integer linear constraints, seamlessly integrating them into other stabilizing control architectures. The advantage resides in the compatibility with the linear control design and the constraint satisfaction in the model predictive control setup, even for forecasted trajectories. Simulations are provided to validate the proposed constraint reformulation.
format Preprint
id arxiv_https___arxiv_org_abs_2405_03334
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the constrained feedback linearization control based on the MILP representation of a ReLU-ANN
Do, Huu-Thinh
Prodan, Ionela
Systems and Control
In this work, we explore the efficacy of rectified linear unit artificial neural networks in addressing the intricate challenges of convoluted constraints arising from feedback linearization mapping. Our approach involves a comprehensive procedure, encompassing the approximation of constraints through a regression process. Subsequently, we transform these constraints into an equivalent representation of mixed-integer linear constraints, seamlessly integrating them into other stabilizing control architectures. The advantage resides in the compatibility with the linear control design and the constraint satisfaction in the model predictive control setup, even for forecasted trajectories. Simulations are provided to validate the proposed constraint reformulation.
title On the constrained feedback linearization control based on the MILP representation of a ReLU-ANN
topic Systems and Control
url https://arxiv.org/abs/2405.03334