Ma. Abdalla et Rb. Perez, A LAGRANGIAN-BASED NONLINEAR CLOSED-LOOP CONTROL ALGORITHM - APPLICATION TO THE ADVANCED LIQUID-METAL REACTOR, Annals of nuclear energy, 20(11), 1993, pp. 721-732
A closed-loop nonlinear control algorithm for the on-line control of n
uclear power plants is presented. The algorithm is based on the Lagran
gian version of Pontryagin's maximum principle (PMP). The two-point bo
undary value problem associated with the PMP formalism has been conver
ted into an initial value problem. This conversion, valid only when a
demand is prescribed, allows the on-line operation of the control algo
rithm. The current Lagrangian-based control algorithm can perform on-l
ine load following, plant state estimation and treat unmeasurable plan
t parameters as uncertain parts in the controller model. The control a
lgorithm has been proven to be stable in the small, robust against lar
ge perturbations and, once tuned, can handle a wide range of transient
s. The usefulness of the new control algorithm has been demonstrated b
y the development of a set of real-time advanced controllers for the m
ultimodular advanced liquid metal reactor.