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Analysis of Nonlinear Active Noise Behavior of Fuzzy Controller Using Non-Perturbation Methods
Fluctuation and Noise Letters ( IF 1.8 ) Pub Date : 2020-12-26 , DOI: 10.1142/s0219477521500334
Monika Rani 1 , Rakesh Goyal 2 , Vikramjeet Singh 2
Affiliation  

In this paper, a Fuzzy controller model has been converted into a time-dependent nonlinear model and then quadratic Riccati differential equation was analyzed to satisfy the solution of the nonlinear active noise behavior of Fuzzy controller. Further, the approximate solutions of this equation using non-perturbation methods i.e., adomian decomposition method (ADM), variational iterational method (VIM) and homotopy perturbation method (HPM) were investigated. A comparison of these methods has also been given with tabular and graphical presentations. Our results reveal that VIM provides the closest approximate solution and fast convergence for the proposed model as compare to ADM and HPM.

中文翻译:

使用非摄动方法分析模糊控制器的非线性有源噪声行为

本文将模糊控制器模型转化为时变非线性模型,然后分析二次Riccati微分方程,以满足模糊控制器非线性有源噪声行为的解。进一步研究了该方程采用非摄动法(ADM)、变分迭代法(VIM)和同伦摄动法(HPM)的近似解。还通过表格和图形表示对这些方法进行了比较。我们的结果表明,与 ADM 和 HPM 相比,VIM 为所提出的模型提供了最接近的近似解和快速收敛。
更新日期:2020-12-26
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