Graphical Nonlinear System Analysis

Fuente: arXiv
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Autori principali: Chaffey, Thomas, Forni, Fulvio, Sepulchre, Rodolphe
Natura: Preprint
Pubblicazione: 2021
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author Chaffey, Thomas
Forni, Fulvio
Sepulchre, Rodolphe
author_facet Chaffey, Thomas
Forni, Fulvio
Sepulchre, Rodolphe
contents We use the recently introduced concept of a Scaled Relative Graph (SRG) to develop a graphical analysis of input-output properties of feedback systems. The SRG of a nonlinear operator generalizes the Nyquist diagram of an LTI system. In the spirit of classical control theory, important robustness indicators of nonlinear feedback systems are measured as distances between SRGs.
format Preprint
id arxiv_https___arxiv_org_abs_2107_11272
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Graphical Nonlinear System Analysis
Chaffey, Thomas
Forni, Fulvio
Sepulchre, Rodolphe
Systems and Control
Optimization and Control
93C10, 93C80, 47H05
We use the recently introduced concept of a Scaled Relative Graph (SRG) to develop a graphical analysis of input-output properties of feedback systems. The SRG of a nonlinear operator generalizes the Nyquist diagram of an LTI system. In the spirit of classical control theory, important robustness indicators of nonlinear feedback systems are measured as distances between SRGs.
title Graphical Nonlinear System Analysis
topic Systems and Control
Optimization and Control
93C10, 93C80, 47H05
url https://arxiv.org/abs/2107.11272