Alyoussef, FadiKaya, Ibrahim2024-04-242024-04-2420220959-65182041-3041https://doi.org/10.1177/09596518211048028https://hdl.handle.net/11468/18093The simplicity of the proportional-integral controller makes it very popular in many practical engineering applications. In the literature, several approaches have been introduced for tuning proportional-integral controllers by calculating the centroid of the stability region. However, all those approaches depend on graphical plottings which are time-consuming. Also, the design procedure has to be redone as the transfer function changes. Here, two new analytical methods are proposed to obtain the centroid of the stability region for the proportional-integral controllers to control a time delay process which can be modeled by a stable or unstable first-order plus dead-time model. The methods introduced eliminate the compulsory procedure of plotting the stability region. The efficiency of the suggested methods has been studied by conducting a robustness analysis and studying several simulation examples.eninfo:eu-repo/semantics/closedAccessFirst-Order Plus Dead TimeProportional-IntegralStability RegionTime DelayCentroid PointInverse FunctionArticle2364818831WOS:0007023988000012-s2.0-8511568058410.1177/09596518211048028Q2Q4