Model-free Adaptive Output Feedback Vibration Suppression in a Cantilever Beam

TL;DR

This paper introduces a model-free adaptive control method for vibration suppression in a cantilever beam, utilizing filtered acceleration data for improved performance without relying on a detailed model.

Contribution

It develops a novel retrospective cost optimization-based adaptive controller that effectively suppresses vibrations using only feedback measurements, including a filter to improve acceleration data utility.

Findings

Effective vibration suppression demonstrated with displacement feedback.

Enhanced suppression performance using filtered acceleration data.

Controller adapts to unknown disturbances without a detailed model.

Abstract

This paper presents a model-free adaptive control approach to suppress vibrations in a cantilevered beam excited by an unknown disturbance. The cantilevered beam under harmonic excitation is modeled using a lumped parameter approach. Based on retrospective cost optimization, a sampled-data adaptive controller is developed to suppress vibrations caused by external disturbances. Both displacement and acceleration measurements are considered for feedback. Since acceleration measurements are more sensitive to spillover, which excites higher frequency modes, a filter is developed to extract key displacement information from the acceleration data and enhance suppression performance. The vibration suppression performance is compared using both displacement and acceleration measurements.