论文标题
通过延迟动作的部分杆放置:用于延迟反馈稳定设计的Python软件
Partial Pole Placement via Delay Action: A Python Software for Delayed Feedback Stabilizing Design
论文作者
论文摘要
本文提出了一种新的Python软件,用于随着时间延迟的稳定反馈定律的参数设计,该软件通过延迟动作(P3 $δ$),称为部分极点放置。在介绍回顾了有关多重性诱导的(中)和并存的实际根部诱导的优势(CRRID)属性的最新理论结果之后,及其用于在时间延迟下运行的控制系统的反馈稳定的使用,该论文呈现了当前版本的P3 $δ$,这些版本依赖于中期属性的延迟延迟范围,以范围延迟延迟范围。我们特别详细介绍其图形用户界面(GUI),该界面允许用户输入必要的信息并获得软件完成的分析结果。这些结果包括稳定闭环系统的参数,闭环系统频谱的图形表示,时间域中的解决方案的模拟以及有关不确定延迟的灵敏度分析。
This paper presents a new Python software for the parametric design of stabilizing feedback laws with time delays, called Partial Pole Placement via Delay Action (P3$δ$). After an introduction recalling recent theoretical results on the multiplicity-induced-dominancy (MID) and coexisting real roots-induced-dominancy (CRRID) properties and their use for the feedback stabilization of control systems operating under time delays, the paper presents the current version of P3$δ$, which relies on the MID property to compute delayed stabilizing feedback laws for scalar differential equations with a single delay. We detail in particular its graphical user interface (GUI), which allows the user to input the necessary information and obtain the results of the analysis done by the software. These results include the parameters stabilizing the closed-loop system, graphical representations of the spectrum of the closed-loop system, simulations of solutions in the time domain, and a sensitivity analysis with respect to uncertain delays.