This paper presents the modeling of one kind of nonlinear parabolic distrib
uted parameter control system. By transforming the system to that in the fi
xed domain, or into the lumped parameter system, this paper provides an ins
ight into the basic features of the control system, as well as the critical
conditions for the control variable. The equations for one-dimensional sys
tems of planar, cylindrical and spherical cases are formulated as a unified
form, and the dynamic characteristics of the open-loop control system and
close-cycle feedback control system have been investigated. Numerical resul
ts agree well with theoretical results. The simulation results indicate tha
t the system is well posed, stable, measurable and controllable.