On forwarding techniques for stabilization and set-point output regulation of semilinear infinite-dimensional systems

TL;DR

This paper introduces a forwarding-based stabilizer for semilinear infinite-dimensional systems, providing stability conditions and applying the approach to a flexible beam system.

Contribution

It develops a novel forwarding technique for stabilization and set-point regulation of complex infinite-dimensional systems, with proven stability criteria.

Findings

Established local exponential stability conditions.

Achieved global asymptotic stability results.

Demonstrated effectiveness on a flexible beam system.

Abstract

A stabilizer based on the forwarding technique is proposed for semilinear infinite-dimensional systems in cascade form. Sufficient conditions for local exponentially stability and global asymptotic stability of the closed-loop are derived. Results for the problem of local set-point output regulation are also obtained. Finally, an application to a system consisting of a flexible beam attached to a rotating joint is proposed.