BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators

TL;DR

This paper establishes conditions for BIBO stability in semilinear infinite-dimensional systems with boundary control and observation, enabling the application of funnel control to complex coupled ODE-PDE systems.

Contribution

It provides new sufficient conditions for BIBO stability based on Lipschitz continuity in interpolation spaces, facilitating funnel control implementation.

Findings

Conditions guarantee BIBO stability for boundary-controlled systems

Application demonstrated on a chemical engineering example

Enables feasibility of funnel control in complex systems

Abstract

This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.