A generalized chordal metric making strong stabilizability a robust property

TL;DR

This paper introduces a generalized chordal metric for linear control systems, demonstrating that strong stabilizability remains robust under this metric, extending previous results in control theory.

Contribution

It defines a new generalized chordal metric for transfer functions and proves that strong stabilizability is a robust property within this metric, broadening existing robustness results.

Findings

Strong stabilizability is robust in the new chordal metric.

The generalized chordal metric extends previous robustness results.

The work generalizes Partington's earlier findings for H-infinity control.

Abstract

An abstract chordal metric is defined on linear control systems described by their transfer functions. Analogous to a previous result due to Jonathan Partington ("Robust control and approximation in the chordal metric", in Robust Control, LNCIS 183, Springer, 1992) for H^infty, it is shown that strong stabilizability is a robust property in this metric.