论文标题
闭环SISO死时间系统的相对稳定性分析：非疑问轴案例
Relative Stability Analysis of Closed-Loop SISO Dead-Time Systems: non-imaginary axis case
论文作者
论文摘要
我们提出了一种数值方法，用于分析给定左复合体半平面上的闭环单输入单输出（SISO）的相对稳定性，以分析所有正延迟。假想轴的众所周知的边界交叉方法扩展到了这些类型的系统中复杂平面中给定的垂直线稳定性边界。该方法允许计算越过相对稳定边界的特征根，其相应的延迟至最大预定延迟。基于这种方法，我们分析了所有正延迟的闭环系统的相对稳定性。两种数值方法对于高阶SISO死时间系统均有效。
We present a numerical method to analyze the relative stability of closed-loop single-input-single-output (SISO) dead-time systems on a given left complex half-plane for all positive delays. The well-known boundary crossing method for the imaginary axis is extended to a given vertical line stability boundary in the complex plane for these type of systems. The method allows to compute the characteristic roots crossing the relative stability boundary and their corresponding delays up to a maximum predefined delay. Based on this method, we analyze the relative stability of the closed-loop system for all positive delays. Both numerical methods are effective for high-order SISO dead-time systems.
