English

Loop Shaping with Scaled Relative Graphs

Systems and Control 2022-08-10 v1 Systems and Control

Abstract

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.

Cite

@article{arxiv.2208.04880,
  title  = {Loop Shaping with Scaled Relative Graphs},
  author = {Thomas Chaffey and Fulvio Forni and Rodolphe Sepulchre},
  journal= {arXiv preprint arXiv:2208.04880},
  year   = {2022}
}

Comments

To be presented at MTNS 2022

R2 v1 2026-06-25T01:36:10.087Z