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首页> 外文期刊>Computational Optimization and Applications >A control reduced primal interior point method for a class of control constrained optimal control problems
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A control reduced primal interior point method for a class of control constrained optimal control problems

机译：一类控制约束最优控制问题的控制约简原始内点法

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摘要

A primal interior point method for control constrained optimal control problems with PDE constraints is considered. Pointwise elimination of the control leads to a homotopy in the remaining state and dual variables, which is addressed by a short step pathfollowing method. The algorithm is applied to the continuous, infinite dimensional problem, where discretization is performed only in the innermost loop when solving linear equations. The a priori elimination of the least regular control permits to obtain the required accuracy with comparatively coarse meshes. Convergence of the method and discretization errors are studied, and the method is illustrated at two numerical examples.
机译：考虑了具有PDE约束的约束约束最优控制问题的原始内点法。逐点删除控件会导致在其余状态下出现同态和对偶变量，这可以通过短步路径跟踪方法解决。该算法适用于连续的无限维问题，在求解线性方程组时，离散化仅在最内层的循环中执行。事先消除最不规则的控制，可以使用相对较粗的网格获得所需的精度。研究了该方法的收敛性和离散化误差，并在两个数值示例中说明了该方法。

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