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Analytic hierarchy process-based model reduction of higher order continuous systems using sine cosine algorithm

机译:正弦余弦算法的基于层次分析法的高阶连续系统模型约简

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摘要

The analysis of higher order systems is tedious and cumbersome task. This motivated analysts to reduce higher order systems into lower order models using mathematical approaches. In this paper, an analytic hierarchy process (AHP)-based approximation of stable higher order systems to stable lower order models using sine cosine algorithm (SCA) is presented. The stable approximant is deduced by minimising the relative errors in between time moments and Markov parameters of the system and its approximant. In order to match the steady states of the system and its approximant, the first time moment of the system is retained in the approximant. AHP is utilised to convert multi-objective problem of minimisation of errors in between time moments and Markov parameters into a single objective problem by proper assignment of weights. To ensure the stability of the approximant, Hurwitz criterion is utilised. The systematic nature and efficacy of the proposed technique is validated by deriving approximants for three different test systems.
机译:高阶系统的分析是繁琐而繁琐的任务。这促使分析人员使用数学方法将高阶系统简化为低阶模型。本文提出了一种基于正弦余弦算法(SCA)的,基于层次分析法(AHP)的稳定高阶系统到稳定低阶模型的逼近方法。通过最小化系统及其近似值的时刻与Markov参数之间的相对误差来推导稳定近似值。为了匹配系统及其近似值的稳态,系统的第一时刻被保留在近似值中。 AHP通过正确分配权重,将时刻与Markov参数之间的误差最小化的多目标问题转换为单个目标问题。为了确保近似值的稳定性,使用了Hurwitz准则。通过推导三个不同测试系统的近似值,验证了所提出技术的系统性和有效性。

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