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This paper is concerned with the optimal start-up control for one-point approximate nuclear reactor systems described by homogeneous bilinear differential equations. This problem can be formulated as ...a bilinear regulator problem with a constraint. But it is usually impossible to obtain the optimal control from the theoretical and computational viewpoints. The proposed method is composed of two steps : in the first step, the optimal regulator problem is solved with the performance index on the only controlled variable, in the second, the optimal regurator problem is solved in order to determine the control which stabilizes all state variables. These control schemes make it possible to realize both the optimization and stabilization of the systems. A numerical example is given to show the effectiveness of the proposed method.続きを見る
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