A rolled-off passivity theorem
Dynamical Systems
2022-03-29 v3 Systems and Control
Systems and Control
Optimization and Control
Abstract
Given two nonlinear systems which only violate incremental passivity when their incremental gains are sufficiently small, we give a condition for their negative feedback interconnection to have finite incremental gain, which generalizes the incremental small gain and incremental passivity theorems. The property may be determined graphically by plotting the Scaled Relative Graphs (SRGs) of the systems, which provides engineering significance to the mathematical result.
Cite
@article{arxiv.2108.07634,
title = {A rolled-off passivity theorem},
author = {Thomas Chaffey},
journal= {arXiv preprint arXiv:2108.07634},
year = {2022}
}