A multivariable adaptive control algorithm is applied to the axial flu
x shape control in a pressurized water reactor. This is one of the mos
t challenging control problems in the nuclear field. The reactor model
used for computer simulations is a two-point xenon oscillation model
based on the nonlinear xenon and iodine balance equations and a one-gr
oup, one-dimensional, neutron diffusion equation having nonlinear powe
r reactivity feedback that adequately describes axial oscillations and
treats the nonlinearities explicitly. The reactor core is axially div
ided into two regions, and it is considered that each region has one i
nput and one output and is coupled with the other region. The control
parameters are updated on-line with the generalized least-squares meth
od to adjust the varying operating conditions. Therefore, this algorit
hm is able to treat the varying operating conditions well. Also, this
control algorithm exhibits very fast responses due to the step and ram
p changes of target axial shape without any residual flux oscillations
between the upper and lower halves of the reactor core.