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Purpose <p>This study presents a novel optimization algorithm which optimize the controller parameters of a nonlinear ball balancer system. Proposed approach is successfully balancing a ball over a rectangular plate under the presence of continuous vibrations.</p> Method <p>To develop the proposed computational technique, Giza pyramid construction algorithm is improved by introducing “Command Phase” and “Co-operate Phase”. This improvement is responsible for the development of proposed HGPCTLBO (Hybrid Giza Pyramid Construction Teaching Learning Based Optimization) algorithm. The developed algorithm is optimizing the unconstrained parameters of proportional integral and derivative controller, which controls the nonlinear vibrations of rectangular plate and achieves proper balancing of ball over this rectangular plate. This scheme is capable of handling the unknown but bounded disturbances/vibrations with comfort. Initially, the mathematical modelling of balancer system is obtained using a two degree of freedom ball balancer system under the presence of unknown but bounded disturbances.</p> Results <p>Integral Square Error (ISE), Integral of Absolute Error (IAE) and Integral of the Time weighted Absolute Error (ITAE) are used as control fitness functions. MATLAB/Simulink platform is used to demonstrate the simulation as well as real time results while proving the dominance of proposed work over the work available in literature.</p>

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Novel Optimization Approach to Control the Nonlinear Vibrations of a Real Time Balancer System Under Unknown Disturbances

  • 期刊论文

  • 发表日期：

    2025年2月5日

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  • Abhishek Chaudhary,
  • Bharat Bhushan

摘要

Purpose

This study presents a novel optimization algorithm which optimize the controller parameters of a nonlinear ball balancer system. Proposed approach is successfully balancing a ball over a rectangular plate under the presence of continuous vibrations.

Method

To develop the proposed computational technique, Giza pyramid construction algorithm is improved by introducing “Command Phase” and “Co-operate Phase”. This improvement is responsible for the development of proposed HGPCTLBO (Hybrid Giza Pyramid Construction Teaching Learning Based Optimization) algorithm. The developed algorithm is optimizing the unconstrained parameters of proportional integral and derivative controller, which controls the nonlinear vibrations of rectangular plate and achieves proper balancing of ball over this rectangular plate. This scheme is capable of handling the unknown but bounded disturbances/vibrations with comfort. Initially, the mathematical modelling of balancer system is obtained using a two degree of freedom ball balancer system under the presence of unknown but bounded disturbances.

Results

Integral Square Error (ISE), Integral of Absolute Error (IAE) and Integral of the Time weighted Absolute Error (ITAE) are used as control fitness functions. MATLAB/Simulink platform is used to demonstrate the simulation as well as real time results while proving the dominance of proposed work over the work available in literature.