On derivative-free sample-and-hold control with prescribed performance

Fuente: arXiv
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Autor principal: Lanza, Lukas
Formato: Preprint
Publicado: 2024
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author Lanza, Lukas
author_facet Lanza, Lukas
contents A feedback controller is proposed to perform output reference tracking with prescribed performance for nonlinear continuous-time systems of relative degree two. The controller is of sampled-data type, i.e., measurements are available only at sampling times - a typical situation in real systems when sensors are involved. Furthermore, only output information is available, i.e., neither the full state nor derivatives can be used for feedback. A sufficient uniform sampling rate is derived and the control consists of piecewise constant signals on the sampling intervals, i.e., zero-order hold. Feasibility of the controller and satisfaction of the control objective are rigorously proven. The controller is illustrated by a numerical example.
format Preprint
id arxiv_https___arxiv_org_abs_2402_05688
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On derivative-free sample-and-hold control with prescribed performance
Lanza, Lukas
Optimization and Control
A feedback controller is proposed to perform output reference tracking with prescribed performance for nonlinear continuous-time systems of relative degree two. The controller is of sampled-data type, i.e., measurements are available only at sampling times - a typical situation in real systems when sensors are involved. Furthermore, only output information is available, i.e., neither the full state nor derivatives can be used for feedback. A sufficient uniform sampling rate is derived and the control consists of piecewise constant signals on the sampling intervals, i.e., zero-order hold. Feasibility of the controller and satisfaction of the control objective are rigorously proven. The controller is illustrated by a numerical example.
title On derivative-free sample-and-hold control with prescribed performance
topic Optimization and Control
url https://arxiv.org/abs/2402.05688