To suppress the spatial xenon oscillations in a nuclear reactor,an implementable stabiliza- tion scheme is proposed based on thefinite dimensional compensator theory in control theory for thedistributed parameter systems. The method is applied to aone-dimensional reactor whose dynamics is governed by one-groupdiffusion equation with its associated iodine and xenon dynamics. Themodal decomposition of the state variables enables us to use the poleassignment algorithms developed in finite dimensional systems toobtain the stabilizing compensator gains. This allows us to estimatethe states of a reactor in a transient using output measurement dataand arbitrary initial conditions, and control the states using theestimated values. The resulting compensator is tested by usingmodel-based data for measurement output through numericalsimulations. The results show that unstable spatial xenonoscillations initiated by perturbations can be controlled by thefinite dimensional compensator
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