PI Control for Optimal Spectral Abscissa in General Non-Minimum Phase Systems with Time Delay
Résumé
In this study, we investigate the stabilization of general linear second-order non-minimum phase time-delay systems using PI controllers. Our primary objective is to determine optimal control gains, if any, such that the spectral abscissa of the system is shifted as far left as possible, ensuring enhanced stability. To achieve this, we employ a comprehensive geometrical analysis, providing a methodology to tune the control gains that yield the desired decay rate. The presented approach not only contributes theoretical insights but also facilitates practical implementation. The effectiveness of the proposed methodology
is demonstrated through numerical examples.