Stability study of a third-order servomechanism with multiplicative feedback control

Stability study of a third-order servomechanism with multiplicative feedback control
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乘法反馈控制三阶伺服机构的稳定性研究

DOI:
10.1109/tai.1958.6369020
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发表时间:
1958
期刊:
Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry
影响因子:
--
通讯作者:
C. F. Chen
C. F. Chen
中科院分区:
--
文献类型:
--
作者:
Y. Ku;C. F. Chen

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在他以前的论文s1 - 3中,第一作者给出了非线性耦合电路的一般分析,并将该方法应用于具有非线性反馈控制的伺服机构的分析。本文报道了具有乘法反馈控制的三阶伺服机构的稳定性研究结果。控制系统中的非线性,以及表示系统的微分方程,是由系统的某些量或变量的乘法引入的。例如,如果将驱动信号e与自身相乘,则得到e2, e2反过来在表示反馈控制系统的最终微分方程中引入一个非线性项。
IN HIS PREVIOUS PAPERS1―3 the first author has given a general analysis of nonlinear coupled circuits and applied the method to the analysis of servomechanisms with nonlinear feedback control. This paper reports the results of a stability study of a third-order servomechanism with multiplicative feedback control. The nonlinearities in the control system, and hence the differential equations representing the system, are introduced by the multiplication of certain quantities, or variables, of the system. For example, if the actuating signal e is multiplied by itself, one obtains e2, which in turn introduces a nonlinear term in the final differential equation representing the feedback control system.