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<p>This article introduces a novel optimization algorithm for the order abatement technique for High-Order Linear Dynamic Systems (HOLDS) into lower order models. This study employs the squirrel search optimization algorithm proposed in 2019 to obtain a diminished transfer function. The technique suggested aims to retain the HOLDS’ characteristics while reducing the Integral Square Error (ISE). The suggested solution ensures the original HOLDS’ steady state stability while also conserving transient stability. A detailed comparison study is conducted, examining two distinct examples of high-order linear dynamic SISO systems. The ISE, integral time absolute error (ITAE), integral absolute error (IAE), impulse response energy (IRE), Step, frequency and Impulse response are obtained using Simulink/MATLAB and the results are compared to other reduction strategies stated in the literature. When compared to alternative strategies, the results reveal that the proposed strategy has a lower ISE while Step, frequency and impulse responses closely match with the original system’s response.</p>

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Squirrel Search Optimization Algorithm for Order Abatement of SISO Linear Time Invariant Systems

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Babita Singh,
  • Nidhi Singh,
  • Dipti Singh

摘要

This article introduces a novel optimization algorithm for the order abatement technique for High-Order Linear Dynamic Systems (HOLDS) into lower order models. This study employs the squirrel search optimization algorithm proposed in 2019 to obtain a diminished transfer function. The technique suggested aims to retain the HOLDS’ characteristics while reducing the Integral Square Error (ISE). The suggested solution ensures the original HOLDS’ steady state stability while also conserving transient stability. A detailed comparison study is conducted, examining two distinct examples of high-order linear dynamic SISO systems. The ISE, integral time absolute error (ITAE), integral absolute error (IAE), impulse response energy (IRE), Step, frequency and Impulse response are obtained using Simulink/MATLAB and the results are compared to other reduction strategies stated in the literature. When compared to alternative strategies, the results reveal that the proposed strategy has a lower ISE while Step, frequency and impulse responses closely match with the original system’s response.