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Automatic transfer function synthesis from a Bode plot

机译:从Bode Plot自动传递函数合成

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摘要

A novel algorithm that automatically identifies continuous-time transfer functions from Bode plots is presented. The identification is carried out in two stages: first, the model order and 'good' guesses of the poles and zeros are obtained; and second estimates are refined by means of a modified Newton-Raphson algorithm. Because poles and zeros estimation only requires the magnitude curve, transport delays, if any, can be easily estimated by means of additional information supplied by the phase curve. The major and novel contribution of the proposed method resides in its first stage, where qualitative notions currently 'hidden' in the intuition of the designer are explicitly represented, yielding a simple optimization procedure that is not impaired by the presence of saddle points or local minima, and that converges very fast to the vicinity of the true solution. A detailed example is also provided to illustrate the value of the method.
机译:提出了一种自动识别来自BODE图的连续时间传输函数的新颖算法。识别在两个阶段进行:首先,获得杆和零的模型顺序和“良好”猜测;第二估计通过改进的牛顿Raphson算法来改进。因为极点和零估计只需要幅度曲线,所以通过相位曲线提供的附加信息,可以容易地估计传输延迟,如果有的话。所提出的方法的主要和新颖贡献居中在其第一阶段,其中目前在设计师直觉中“隐藏”的定性概念被明确表示,产生了一个简单的优化程序,不受鞍点或局部最小值的存在而不会受损,并收敛到真实解决方案附近非常快。还提供详细示例以说明方法的值。

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