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arXiv · 2107.11272

Graphical Nonlinear System Analysis

Thomas Chaffey·Fulvio Forni·Rodolphe Sepulchre
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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.

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Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre. 2021-07-23. Graphical Nonlinear System Analysis. https://doi.org/10.1109/tac.2023.3234016

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