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Reinforcement Learning, Adaptive Control, MPC for Vibration Control: A Survey

Jitian Xie

Abstract


This paper reviews reinforcement learning (RL), adaptive control, model predictive control (MPC), and modal control strategies.
It synthesizes progress across structural, aerospace, mechanical, and civil engineering applications, addressing key challenges e.g., model
uncertainty, nonlinear dynamics, sensing and actuation constraints, and real-world deployment considerations. The review highlights several
developments: actor-critic and off-policy RL methods extending optimal control to data-rich environments; adaptive control techniques ensuring robustness against unmodeled dynamics; MPC facilitating constraint handling and preview capabilities; and modal control retaining
its essential role in managing lightly damped flexible structures. A comparative analysis of algorithms is provided, along with a summary of
experimental validations. The article concludes by identifying open research challenges in safety assurance, sample efficiency, integration
with physical principles, and the establishment of trustworthy benchmarking practices.

Keywords


Vibration Control; Reinforcement Learning(RL); Adaptive Control; Model Predictive Control(MPC).

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References


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DOI: https://doi.org/10.18686/utc.v11i3.274

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