A new $\nu$-metric computational example for the diffusion equation with boundary control and point observation

TL;DR

This paper presents a computational example of the $ u$-metric applied to a control system governed by a diffusion equation with boundary control and point observation, illustrating its use in robust control scenarios.

Contribution

It provides a new computational example of the $ u$-metric for diffusion equations with boundary control and point observation, expanding its practical application.

Findings

$ u$-metric computed for diffusion control systems

Illustrates robustness analysis in boundary-controlled diffusion systems

Enhances understanding of $ u$-metric in PDE-based control

Abstract

The $\nu$-metric used in robust control is computed for control systems with parametric uncertainty, governed by a diffusion equation in a bounded one-dimensional spatial region with boundary control and point observation.