English

Graphical Nonlinear System Analysis

Systems and Control 2024-10-28 v3 Systems and Control Optimization and Control

Abstract

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.

Keywords

Cite

@article{arxiv.2107.11272,
  title  = {Graphical Nonlinear System Analysis},
  author = {Thomas Chaffey and Fulvio Forni and Rodolphe Sepulchre},
  journal= {arXiv preprint arXiv:2107.11272},
  year   = {2024}
}

Comments

This work has been submitted to the IEEE for possible publication

R2 v1 2026-06-24T04:27:57.524Z