Fast Construction of Robustness Degradation Function

TL;DR

This paper introduces a rapid algorithm for constructing the robustness degradation function, enabling quick assessment of how system robustness varies with uncertainty, aiding in controller performance prediction.

Contribution

The paper presents a novel fast algorithm for constructing the robustness degradation function, improving efficiency in robustness analysis compared to existing methods.

Findings

The algorithm accurately constructs the robustness degradation function.

It enables quick prediction of controller robustness performance.

The method enhances robustness analysis efficiency.

Abstract

We develop a fast algorithm to construct the robustness degradation function, which describes quantitatively the relationship between the proportion of systems guaranteeing the robustness requirement and the radius of the uncertainty set. This function can be applied to predict whether a controller design based on an inexact mathematical model will perform satisfactorily when implemented on the true system.