Generalized gain plots for proportional digital control for second-order all-pole plants

The concept of gain plots provides a geometric connection between classical SISO control design tools. The work discussed is an attempt to generalize the gain plot concept to the digital control of two classes of second-order plants and to present the results in nondimensional form so they may be useful in a broad class of controller design problems. The proportional digital control of all second-order all-pole plants has been generalized in the form of dimensionless performance parameter curves. Here, the closed-loop performance is functionally dependent on the open-loop plant parameters, the sampling interval, and the controller gain. Plots are presented in dimensionless form so they are applicable to a wide range of second-order plants.