信号流图在系统状态方程中的应用

Systematic Method of Establishing State Equation by Signal-flow Graph

信号流图是建立状态方程的一种有效工具,给出了一种新的建立电路状态方程的方法,把电路的2b信号流图化简为一种状态矩阵流图,该流图仅含有独立节点,状态变量及其导数节点.根据此流图,很易写出状态方程.详细导出了矩阵流图的各传输矩阵的计算公式,并给出了基本计算步骤及实例.

Signal-flow graph is an effective tool for establishing the status equation. A new method for establishing the status equation of circuit is given in the paper, in which the 2b circuit signal-flow graph is simplified as status matrix flow graph. The flow graph contains only independent nodes, status variables and its derivative nodes. So it is easy to obtain the status equation by this method. All the calculating formulas of the transmission matrix are deduced in detail,and the basic calculating steps and the example are given.