| Summary: | The implementation of flexible plate structures in industrial settings presents a multitude of benefits, including enhanced efficiency and greater flexibility in comparison with rigid structures. Notwithstanding these advantages, malleable plate structures are more prone to vibrations on account of their inadequate rigidity to endure significant levels of vibrational events. To address this issue, it is imperative to develop an accurate model and an efficient control system. This study aims to develop a model and active vibration control-based advanced firefly algorithm (AFA) for a flexible horizontal plate structure. Initially, input and output vibration data are collected based on the experimental rig designed with a flexible horizontal plate structure. The obtained data are later used to model the system using the system identification method utilizing a metaheuristic algorithm with linear auto-regressive with an exogenous model structure. This study introduces a novel AFA optimization, known as the variant of the firefly algorithm (FA), for the model identification of the flexible horizontal plate structure. Results indicated that the model of the flexible horizontal plate structure developed using AFA is better compared to FA. The smallest mean square error training is achieved from the best model by AFA at 1.1090 × 10−5 compared to FA. Subsequently, the developed model is implemented in a control scheme for vibration attenuation of the flexible horizontal plate structure. The proposed proportional–integral–derivative (PID) controller tuned by AFA works well to stop unwanted vibrations. It works better than the PID-FA controller and other control algorithms, reducing vibrations by up to 98.9%. © King Fahd University of Petroleum & Minerals 2024.
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