2007/05/23 by Gianpasquale Martelli, Martelli, Gianpasquale · 1 citation
Engineering · Mathematics · #34K35 #93C23 #Advanced Control Systems Design #Advanced Control Systems Optimization #Extremum Seeking Control Systems #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:34K35 #msc:93C23
paper · pdf · doi:10.48550/arxiv.0705.3397
AMS-LaTeX version 2.20. 12 pages with 6 figures
arxiv created 2007/05/23 · openalex publication_date 2007/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper the following three control systems for first-order time-delay plants are studied and compared: the feedback proportional-integral controller (PI), the Smith Predictor (SP) and a proposed variable structure consisting of two blocks. This structure acts as an open-loop proportional controller, after a setpoint change, and as a closed-loop integrating controller, when the error enters in a preset band. A chart, provided with the borderlines of the stability zone and with the curves of two design parameters, is implemented for each controller. The first parameter is the overshoot of the controlled variable, evaluated during a step change of the setpoint and made equal to a preset value. The second parameter, only for the PI and SP controllers, is the integral of the squared error (ISE), which must have the minimum allowable value. The ISE is also assumed as comparison index and the proposed controller appears as the best.