Continuation Based Computation of Root-Locus for SISO Dead-Time Systems

Root Locus for SISO Dead-Time Systems: A Continuation Based Approach

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 br…

Relative Stability Analysis of Closed-Loop SISO Dead-Time Systems: non-imaginary axis case

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 …

一阶加滞后过程的最小稳定时间单调PI整定：切触特性

Monotonic, Minimum-Settling-Time PI Tuning for First-Order-Plus-Dead-Time Plants: A Tangency Characterization

针对一阶加滞后过程，提出一种基于切触特性的PI控制器整定方法，实现无超调的最快设定点响应，并给出显式闭式规则，相比临界阻尼Lambert-W整定，2%稳定时间缩短14%-52%。