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POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation

机译:通过求解演化HJB方程对Burgers方程进行基于POD的反馈控制

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A new approach for solving finite-time horizon feedback control problems for distributed parameter systems is proposed. It is based on model reduction by proper orthogonal decomposition combined with efficient numerical methods for solving the resulting low-order evolutionary Hamilton-Jacobi-Bellman (HJB) equation. The feasibility of the proposed methodology is demonstrated by means of optimal feedback control for the Burgers equation. The method for solving the HJB equation is first tested on several 1-D problems and then successfully applied to the control of the reduced order Burgers equation. The effect of noise is investigated, and parallelism is used for computational speedup. (c) 2005 Elsevier Ltd. All rights reserved.
机译:提出了一种解决分布式参数系统有限时间水平反馈控制问题的新方法。它基于通过适当的正交分解与有效数值方法相结合的模型简化来求解所得的低阶演化汉密尔顿-雅各比-贝尔曼(HJB)方程。通过对Burgers方程的最佳反馈控制,证明了所提出方法的可行性。首先在几个一维问题上测试了求解HJB方程的方法,然后成功地将其应用于降阶Burgers方程的控制。研究了噪声的影响,并将并行性用于计算加速。 (c)2005 Elsevier Ltd.保留所有权利。

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