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本文讨论了在正弦函数输入时高阶模型的最优简化问题。主要思路是对于突加正弦函数输入的系统,找出一个具有相同频率的正弦函数和脉冲函数的叠加输入、但具有相同输出的另一个系统,其瞬态输出部分由脉冲函数输入所引起,而稳态输出部分则由正弦函数输入所引起。对这一系统求出对应于脉冲函数输入部分的最优简化模型,再对稳态部分进行配置,转换到只有正弦函数输入的系统,从而求得简化模型的系统方程。 本交给出了具体的计算步骤和数值例子。
This article discusses the optimal simplification of higher-order models at sinusoidal input. The main idea is to find a system with sudden sinusoidal input and a superimposed input of sinusoidal and pulse functions of the same frequency but with another system with the same output whose transient output is partly caused by a pulse function input and The steady-state output is caused by the sinusoidal input. The optimal simplified model corresponding to the input part of the pulse function is obtained for this system. The steady-state part is then configured and converted to a system with only sinusoidal input, so that the system equations of the simplified model can be obtained. This handout gives specific examples of calculations and numerical examples.