论文标题
SISO死时间系统的根源基因座：一种基于延续的方法
Root Locus for SISO Dead-Time Systems: A Continuation Based Approach
论文作者
论文摘要
我们提出了一种数值方法，用于绘制有关控制器增益或系统延迟的单输入单输出（SISO）死时间系统的根源基因座。我们计算闭环系统特征根的轨迹在规定的复合物右半平面上。我们计算该区域内根部层分支的起始，分支和边界跨根。我们基于预测指标类型延续方法计算每个特征根的根源基因座。为了避免根部在分支点附近相对于基因座参数的高灵敏度，持续方法依赖于根部 - 位轨迹轨迹的自然参数化，这是（特征根，locus compareper）空间中的距离。该方法在高阶SISO死时间系统上在数值上是稳定的。
We present a numerical method to plot the root locus of Single-Input-Single-Output (SISO) dead-time systems with respect to the controller gain or the system delay. We compute the trajectories of characteristic roots of the closed-loop system on a prescribed complex right half-plane. We calculate the starting, branch and boundary crossing roots of root-locus branches inside the region. We compute the root locus of each characteristic root based on a predictor-corrector type continuation method. To avoid the high sensitivity of roots with respect to the locus parameter in the neighborhood of branch points, the continuation method relies on a natural parameterization of the root-locus trajectory in terms of a distance in the (characteristic root, locus parameter)-space. The method is numerically stable for high order SISO dead-time systems.
