多变量系统广义根轨迹图与广义Nyquist图的绘制

广义根轨迹图与广义Ｎｙｑｕｉｓｔ图是多变量反馈系统变量量方法中的重要概念，在控制系统的分析与设计，尤其是系统的稳定性分析中起着十分重要的作用。数学上它们都是由双变量多项定义的代数函数在Ｒｅｉｍａｎｎ曲面上的特定图表轨迹。

On Drawing Generalized Root Loci and Generalized Nyquist Loci of Multivariable Systems

Generalized root loci and generalized Nyquist loci in complex variable methods of multivariable feedback systems play very important roles in control system analysis and design, especially in system stability analysis. Mathematically they are certain plots on Riemann surface of algebraic function defined by two variable polynomial. This paper investigated the problem of how to obtain the plots of algebraic function on Riemann surface, and developed a feasible method for drawing the generalized root or Nyquist loci.