Newton iterative method for the system modeling based on the step responses signal to the multi-stage operational amplifier circuit

Ling Xu
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Abstract

This paper presents a system modeling method for an multi-stage operational amplifier circuit based on the step response experiment. By taking an step voltage signal as the input, the measure data are collected for estimating the system parameters. By defining and minimizing an output error criterion function, a Newton iterative estimation algorithm is derived. In order to show the accuracy of the estimated circuit model, we use a proportional integral controller and construct a closed-loop operational amplifier circuit in terms of the estimated circuit model. Moreover, we take a step experiment to test the tracking performance of the operational amplifier circuit. The simulation results indicate that the proposed method can generate the parameter estimates of the multi-stage operational amplifier circuit system.
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基于阶跃响应信号的多级运放电路系统建模的牛顿迭代法
提出了一种基于阶跃响应实验的多级运放电路系统建模方法。采用阶跃电压信号作为输入,采集测量数据,用于估计系统参数。通过定义和最小化输出误差准则函数,推导出牛顿迭代估计算法。为了证明估计电路模型的准确性,我们使用了比例积分控制器,并根据估计电路模型构造了一个闭环运算放大器电路。此外,我们还进行了阶跃实验来测试运放电路的跟踪性能。仿真结果表明,所提出的方法能够生成多级运放电路系统的参数估计。
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