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本文是对作者同名论文的几点补充。论文首先探讨和分析了,北宋时代苏颂和韩公廉在公元1086～1089年所制造的水运议象台里受水壶水重自动调整系统各元件的转移函数,并且提出了调整系统的等效结构图。可借此判断系统的稳定性和明确系统的类型。其次,论文研究了上述水运仪象台里枢轮转速恒定系统;论证了它是一个具有负反馈的参数恒定系统,但在自振荡的状态下进行工作(类似于振动式自动调整系统),振荡周期为6秒。它能够自动补偿某些外界扰动作用对于转速的影响。此外,论文推测了元代郭守敬所创制的大明殿灯漏中应用的自动调整水位和流量的系统。最后论文认为:宋代秦九韶所提出的用逐步逼近法以求方程式根的方法,显然包含着负反馈的思想方法。
This article is a supplement to the author’s essay of the same name. The dissertation first explores and analyzes the transfer functions of various parts of the system of automatic adjustment of kettle water weight by Su Song and Han Gonglian during the Northern Song Dynasty between 1086 and 1089, and proposed the equivalent structure diagram of the adjustment system . This can be used to determine the stability of the system and clear the type of system. Secondly, the thesis studies the constant speed system of the wheel in the elephant platform of the water transporter. The paper proves that it is a constant system with negative feedback, but works in a self-oscillating state (similar to a vibrating automatic adjustment system) The period is 6 seconds. It automatically compensates for the effect of some external disturbances on speed. In addition, the paper speculates the system of automatically adjusting the water level and flow applied in the lampshade of Daming Temple created by Guo Shou-jing in the Yuan Dynasty. The final dissertation holds that the method proposed by Qin Jiu-Shao in the Song Dynasty to find the root of equation by the step-by-step approximation apparently contains the negative feedback method.