On the role of LFT model reduction methods in robust controllersynthesis for a pressurized water reactor
Bendotti, P.; Beck, C.L.
Control Systems Technology, IEEE Transactions on
Volume 7, Issue 2, Mar 1999 Page(s):248 - 257
Digital Object Identifier 10.1109/87.748151
Summary:We consider model reduction and control design for a pressurized
water reactor (PWR) of a nuclear power plant. In order to obtain less
conservative design and analysis results, a recent model reduction
technique for uncertain systems modeled as linear fractional
transformations (LFT) on repeated scalar uncertainty sets is used to
determine the smallest dimension uncertainty description required to
adequately cover the system behavior. Controllers for the PWR are then
designed using μ-synthesis techniques. The change in both the
operating power and reactivity of the fuel are modeled as slowly varying
structured uncertainty, and the objective is to maintain performance
over all parameter variations. A parameter-dependent model is
constructed from identified models obtained using a nonlinear simulator.
The models are simplified using a systematic model reduction method for
uncertain systems; this proves to be critical in the design process of
μ-controllers with large structured uncertainty, The resulting
closed-loop performance of the PWR is compared to previous design
results
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