Graphical Nonlinear System Analysis

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.

This work has been submitted to the IEEE for possible publication

References in corpus (4)

• A rolled-off passivity theorem
• The Scaled Relative Graph of a Linear Operator
• The Singular Angle of Nonlinear Systems
• Phase of Nonlinear Systems

Cited by in corpus (6)

• Monotone one-port circuits
• A rolled-off passivity theorem
• The Singular Angle of Nonlinear Systems
• Scaled Relative Graphs for Nonmonotone Operators with Applications in Circuit Theory
• Passive iFIR Filters for Data-Driven Control
• Convergence Analyses of Davis-Yin Splitting via Scaled Relative Graphs II: Convex Optimization Problems