Vibration suppression of the horizontal flexible plate using proportional– integral–derivative controller tuned by particle swarm optimization

M Sukri Hadi,Intan ZM Darus,Mat H Ab.Talib,M Osman Tokhi,Hanim M Yatim

doi:10.1177/1461348420934636

Abstract

This paper presents the development of an active vibration control for vibration suppression of the horizontal flexible plate structure using proportional–integral–derivative controller tuned by a conventional method via Ziegler–Nichols and an intelligent method known as particle swarm optimization algorithm. Initially, the experimental rig was designed and fabricated with all edges clamped at the horizontal position of the flexible plate. Data acquisition and instrumentation systems were designed and integrated into the experimental rig to collect input–output vibration data of the flexible plate. The vibration data obtained through experimental study was used to model the system using system identification technique based on auto-regressive with exogenous input structure. The plate system was modeled using particle swarm optimization algorithm and validated using mean squared error, one-step ahead prediction, and correlation tests. The stability of the model was assessed using pole zero diagram stability. The fitness function of particle swarm optimization algorithm is defined as the mean squared error between the measured and estimated output of the horizontal flexible plate system. Next, the developed model was used in the development of an active vibration control for vibration suppression on the horizontal flexible plate system using a proportional–integral–derivative controller. The proportional–integral–derivative gains are optimally determined using two different ways, the conventional method tuned by Ziegler–Nichols tuning rules and the intelligent method tuned by particle swarm optimization algorithm. The performances of developed controllers were assessed and validated. Proportional–integral–derivative-particle swarm optimization controller achieved the highest attenuation value for first mode of vibration by achieving 47.28 dB attenuation as compared to proportional–integral–derivative-Ziegler–Nichols controller which only achieved 34.21 dB attenuation.

Highlights

The usage of flexible structure has been increasing rapidly in many engineering applications
A model of a horizontal flexible plate system was developed using system identification via particle swarm optimization (PSO) algorithm based on input–output vibration data obtained through experimental study
This paper presents the development of a PID controller tuned by an intelligent algorithm via PSO for vibration suppression of a horizontal flexible plate system

Summary

Introduction

The usage of flexible structure has been increasing rapidly in many engineering applications. The AVC mechanism was implemented into finite element method simulation algorithm.[11] Darus proposed an intelligent control strategy to suppress the vibration of a square thin plate structure. System identification techniques has been widely recognized by researchers as means to find an accurate model for dynamic systems based on observing input and outputs for various control application.[12] In this research, a model of a horizontal flexible plate system was developed using system identification via particle swarm optimization (PSO) algorithm based on input–output vibration data obtained through experimental study. The performance of improved particle swarm optimization (IPSO) was compared to conventional PSO for five well-known benchmark functions.[23] Moharama et al presented a new algorithm to achieve optimal parameters of PID controller. The development of the proposed controller and the performance of the developed controller in this research are discussed in sections “Active vibration control” and “Simulation results and analysis”, respectively

Experimental setup

Objective

Findings

Conclusion