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Loop Shaping with Scaled Relative Graphs

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arxiv 2208.04880 v1 pith:3CUJMUIW submitted 2022-08-09 eess.SY cs.SY

Thomas Chaffey , Fulvio Forni , Rodolphe Sepulchre This is my paper · ORCID
classification eess.SYcs.SY
keywords marginsnonlinearrelativerobustnessscaledshapingabstractallows
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The Scaled Relative Graph (SRG) is a generalization of the Nyquist diagram that may be plotted for nonlinear operators, and allows nonlinear robustness margins to be defined graphically. This abstract explores techniques for shaping the SRG of an operator in order to maximize these robustness margins.

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Cited by 1 Pith paper

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  1. A Dissipativity Framework for Constructing Scaled Graphs

    math.OC 2025-07 conditional novelty 6.0 of 10

    A dissipativity-based LMI framework computes scaled graphs for LTI, reset, and piecewise-linear systems, with an exactness guarantee for normal LTI systems.

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