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

2025-11-08

AI Summary

This paper addresses vibration suppression of cantilever beams subject to unknown external disturbances. We propose a model-free sampled-data adaptive control strategy that integrates dual feedback from both displacement and acceleration measurements. A novel filter is designed to reconstruct displacement information from acceleration signals with high fidelity, effectively mitigating high-frequency modal spillover. The controller is updated online within a retrospective cost optimization (RCO) framework, ensuring both model independence and real-time adaptability. Experimental results demonstrate that, using only an accelerometer combined with the proposed filter, vibration suppression performance comparable to direct displacement feedback is achieved—significantly reducing hardware dependency and implementation complexity. This work establishes an engineering-practical paradigm for robust vibration control of flexible structures under uncertain excitations.

Technology Category

• Intelligent Robots: Behavior Learning & Control
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• Cognitive Modeling & Cognitive Systems: Adaptive Behavior

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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.

Problem

• Suppress vibrations in cantilever beams using model-free control
• Develop adaptive controller for disturbance-induced vibration suppression
• Extract displacement data from acceleration measurements to reduce spillover

Innovation

• Model-free adaptive control for vibration suppression
• Sampled-data controller using retrospective cost optimization
• Filter extracts displacement data from acceleration measurements