摘要
本文通过对调节阀的流量特性分析,建立了不平衡力与阀杆位移量之间的近似关系,再以阀杆位移增大方向为参考正方向建立调节阀的数学模型与特征方程,并通过选取使主对角线元素不为零的待定系数状态方程,直接利用克拉索夫斯基(Krasovskii)定理对系统进行分析,得出李雅普诺夫(Lyapunov)函数和渐近稳定条件,最后对四种不同组合的调节阀的稳定性给出结论。
In this paper the approximate relations between the unbalanced force and the displacement of valve rood sre aet up in terms of analysis of the flowc haracleristic of con-trol valve,and then the mathematic model and the characteristic equation of control valve are developed with determiming the direction of displacement inement as the reference di-rection,and the Lyapunov function and the coneition of the asymptotic stability are de-rived throngh the selection state equation of undetermined codfficient having nonzero main diagonal elements and the analysis of the system by Krasovskii theorem. At last,there is the conlusion of stalility of four variant combination control valvas.
出处
《天津纺织工学院学报》
北大核心
1994年第2期58-64,共7页
Journal of the Tianjin Institute of Textile Science and Technology
关键词
调节阀
数学模型
稳定性分析
Control Valve, Unbalance Force , Krasovskii theorem, Lyapunov function,Asymptoic Stability , Mathematic Model,Analysis of Stabilitation.