Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
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DOI：
10.1023/a:1021732508059
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发表时间：
1999-08-01
影响因子：
1.9
通讯作者：
Volkwein, S
中科院分区：
文献类型：
--
作者：
Kunisch, K;Volkwein, S
本征正交分解 (POD) 是一种推导动力系统降阶模型的方法。本文利用POD 来解决Burgers 方程的开环和闭环最优控制问题。该方程相对简单，可以将基于 POD 的算法与最优系统的有限元离散化获得的数值结果进行比较。对于闭环控制，提出了次优状态反馈策略。
Proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper, POD is utilized to solve open-loop and closed-loop optimal control problems for the Burgers equation. The relative simplicity of the equation allows comparison of POD-based algorithms with numerical results obtained from finite-element discretization of the optimality system. For closed-loop control, suboptimal state feedback strategies are presented.