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Bibliographic Details
Main Authors: Vanspranghe, Nicolas, Lorenzetti, Pietro, Paunonen, Lassi, Weiss, George
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.14267
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author Vanspranghe, Nicolas
Lorenzetti, Pietro
Paunonen, Lassi
Weiss, George
author_facet Vanspranghe, Nicolas
Lorenzetti, Pietro
Paunonen, Lassi
Weiss, George
contents We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considered is governed by monotone differential inclusions and allows us to exploit the theory of contraction semigroups. To account for possible operational constraints, e.g., bounds on the input, we replace a classical integral controller with a projected integral controller. This guarantees that the integrator state remains in a given closed convex set, where said constraints are satisfied. We showcase our results through three case studies.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14267
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Projected integral control of impedance passive nonlinear systems
Vanspranghe, Nicolas
Lorenzetti, Pietro
Paunonen, Lassi
Weiss, George
Optimization and Control
We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considered is governed by monotone differential inclusions and allows us to exploit the theory of contraction semigroups. To account for possible operational constraints, e.g., bounds on the input, we replace a classical integral controller with a projected integral controller. This guarantees that the integrator state remains in a given closed convex set, where said constraints are satisfied. We showcase our results through three case studies.
title Projected integral control of impedance passive nonlinear systems
topic Optimization and Control
url https://arxiv.org/abs/2506.14267