POD-Based Bicriterial Optimal Control by the Reference Point Method

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• 作者：Stefan Banholzer^* ; Dennis Beermann^* ; Stefan Volkwein^** ; ^{Stefan.Volkwein@uni-konstanz.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Optimal control ; multiobjective optimization ; reference point method ; proper orthogonal decomposition ; a-posteriori error analysis
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：8
• 页码：210-215
• 全文大小：471 K

文摘

In the present paper a bicriterial optimal control problem governed by a parabolic partial differential equation (PDE) and bilateral control constraints is considered. For the numerical optimization the reference point method is utilized. The PDE is discretized by a Galerkin approximation utilizing the method of proper orthogonal decomposition (POD). POD is a powerful approach to derive reduced-order approximations for evolution problems. Numerical examples illustrate the efficiency of the proposed strategy.