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Control analysis and design of large nuclear reactors requires a
suitable mathematical model representing the steady state and
dynamic behavior of the reactor with reasonable accuracy. This task
is, however, quite challenging because of several complex dynamic
phenomena existing in a reactor. Quite often, the models developed
would be of prohibitively large order, non-linear and of complex
structure not readily amenable for control studies. Moreover, the
existence of simultaneously occurring dynamic variations at
different speeds makes the mathematical model susceptible to
numerical ill-conditioning, inhibiting direct application of
standard control techniques. This monograph introduces a technique
for mathematical modeling of large nuclear reactors in the
framework of multi-point kinetics, to obtain a comparatively
smaller order model in standard state space form thus overcoming
these difficulties. It further brings in innovative methods for
controller design for systems exhibiting multi-time-scale property,
with emphasis on three-time-scale systems.
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