Robust Stability: From Disk Margins to Neural Network Analysis

Recorded June 24, 2020

This talk will provide a tutorial introduction to disk margins. These are robust stability measures that account for simultaneous gain and phase perturbations in a feedback system. This provides a generalization of classical (gain-only and phase-only) stability margins. The talk will motivate the use of disk margins and provide several examples including applications to multiple-input, multiple-output control systems. The talk will conclude with some recent extensions of this basic robustness analysis framework. It will be shown that typical robust control methods can be used to assess stability and robustness of feedback loops that use neural networks.