Funnel control of linear systems with arbitrary relative degree under output measurement losses
Optimization and Control
2023-09-28 v3 Dynamical Systems
Abstract
We consider tracking control of linear minimum phase systems with known arbitrary relative degree which are subject to possible output measurement losses. We provide a control law which guarantees the evolution of the tracking error within a (shifted) prescribed performance funnel whenever the output signal is available. The result requires a maximal duration of measurement losses and a minimal time of measurement availability, which both strongly depend on the internal dynamics of the system, and are derived explicitly. The controller is illustrated by a simulation of a mass-on-car system.
Keywords
Cite
@article{arxiv.2202.06773,
title = {Funnel control of linear systems with arbitrary relative degree under output measurement losses},
author = {Thomas Berger and Lukas Lanza},
journal= {arXiv preprint arXiv:2202.06773},
year = {2023}
}