Adaptive Infinite Impulse Response System Identification Using Elitist Teaching-Learning- Based Optimization Algorithm

Y. Ramalakshmanna, Dr. P. Shanmugaraja, D. V. R. Raju, Dr T.V. Hymalakshmi
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Abstract

Infinite Impulse Response (IIR) systems identification is complicated by traditional learning approaches. When reduced-order adaptive models are utilised for such identification, the performance suffers dramatically. The IIR system is identified as an optimization issue in this study. For system identification challenges, a novel population-based technique known as Elitist teacher learner-based optimization (ETLBO) is used to calculate the best coefficients of unknown infinite impulse response (IIR) systems. The MSE function is minimised and the optimal coefficients of an unknown IIR system are found in the system identification problem. The MSE is the difference between an adaptive IIR system's outputs and an unknown IIR system's outputs. For the unknown system coefficients of the same order and decreased order cases, exhaustive simulations have been performed. In terms of mean square error, convergence speed, and coefficient estimation, the results of actual and reduced-order identification for the standard system using the novel method outperform state-of-the-art techniques. For approximating the same-order and reduced-order IIR systems, four benchmark functions are examined utilizing GA, PSO, CSO, and BA. To demonstrate the improvements, the approach is evaluated on three conventional IIR systems of 2nd, 3rd, and 4th order models. On the basis of computing the mean square error (MSE) and fitness function, the suggested ETLBO approach for system identification is proven to be the best among others. Furthermore, it is confirmed that the suggested ETLBO method outperforms some of the other known system identification strategies. Finally, the efficiency of the dynamic nature of the control parameters of DE, TLBO, and BA in finding near parameter values of unknown systems is demonstrated through comparison data. The simulation results show that the suggested system identification approach outperforms the current methods for system identification.
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基于精英教-学优化算法的自适应无限脉冲响应系统辨识
无限脉冲响应(IIR)系统的辨识是传统学习方法所不能解决的问题。当使用降阶自适应模型进行这种识别时,性能会受到极大的影响。在本研究中,IIR系统被确定为一个优化问题。针对系统辨识的挑战,采用了一种新的基于群体的技术,即基于精英的教师-学习者优化(ETLBO),来计算未知无限脉冲响应(IIR)系统的最佳系数。在系统辨识问题中,对未知IIR系统的MSE函数进行最小化并求出最优系数。MSE是自适应IIR系统输出与未知IIR系统输出之间的差值。对于同阶和降阶的未知系统系数,进行了穷举仿真。在均方误差、收敛速度和系数估计方面,使用新方法对标准系统进行实际和降阶识别的结果优于最先进的技术。为了逼近同阶和降阶IIR系统,使用遗传算法、粒子群算法、粒子群算法和粒子群算法检查了四个基准函数。为了证明该方法的改进,对三种传统IIR系统的二阶、三阶和四阶模型进行了评估。在计算均方误差(MSE)和适应度函数的基础上,证明了所提出的ETLBO方法在系统辨识中是最优的。此外,还证实了所建议的ETLBO方法优于其他一些已知的系统识别策略。最后,通过对比数据证明了DE、TLBO和BA控制参数的动态特性在寻找未知系统近参数值方面的有效性。仿真结果表明,所提出的系统识别方法优于现有的系统识别方法。
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来源期刊
International Journal of Circuits, Systems and Signal Processing
International Journal of Circuits, Systems and Signal Processing Engineering-Electrical and Electronic Engineering
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