上海机械学院自动化系
纸质出版:1981
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[1]赵永昌.计算灵敏度的一种拓扑方法[J].电子学报,1981(05):48-56.
Zhao Yong-chang. A Topological Technique for the Sensitivity Calculation[J]. Acta Electronica Sinica, 1981, (5): 48-56.
本文提出用信号流图理论求灵敏度的一种拓扑方法。文中
无论输入支路或中间支路
其支路增益可以是某一系统参数的非线性函数。现有的一些结果
可作为本文提出的公式的特殊情况。文末用具体实例说明该公式的应用。
This paper presents a topological technique for the sensitivity calculation by means of singal flow graphs theory. In our signal flow graph
the branch gains for the input branches and the intermediate branches are the nonlinear function of the system parameter for finding the sensitivity. According to the definition of summing matrix and branching matrix
and by using the Tellegen’s theorem for singnal flow graph
the general expression has been developed. The key to this technique is to calculate the sensitivity by direct application of the topological structure of the signal flow graph. The existing results may be considered as special cases of the general expression proposed in this paper. Finally
the application of the expression is illustrated by a concrete example.
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