Influence of time delay on fractional-order PI-controlled system for a second-order oscillatory plant model with time delay
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Abstract: The paper aims at presenting the influence of an open-loop time delay on the stability and tracking performance of a second-order open-loop system and continuous-time fractional-order PI controller. The tuning method of this controller is based on Her-mite-Biehler and Pontryagin theorems, and the tracking performance is evaluated on the basis of two integral performance indices, namely IAE and ISE. The paper extends the results and methodology presented in previous work of the authors to analysis of the in-fluence of time delay on the closed-loop system taking its destabilizing properties into ac-count, as well as concerning possible application of the presented results and used models.
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