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This article focuses on the stabilization, using PID controllers, of second-order systems with a pair of complex poles plus time-delay. The parameters constraint of the controlled plant for the existence of a stabilizing PID controller is first provided. And the stabilizing range of proportional-gain is derived in terms of a version of Hermite-Biehler Theorem applicable to quasi- polynomial. Then,...
This article discusses the problem of determining the parameter sets of stabilizing PID controllers for first-order plus double integrating processes with time-delay. The method adopted in the article is based on a version of Hermite-Biehler theorem valid for quasi-polynomial and a graphical stability criterion for time-delay systems. The admissible range of proportional-gain is first derived. Then,...
This note focuses on a graphical approach to determine the stability region, in the parameter space, of PID-controlled second-order plants with dead time. This work is the extension of and further results on the same topic of the previous paper in the literature on first-order plants with dead time. The main characterization of the new method is the utilization of a graphical stability criterion in...
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