Riccati-less optimal control of bluff-body wakes
Riccati-less optimal control of bluff-body wakes
复制标题
钝体尾流的无 Riccati 最优控制
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
P. Luchini
中科院分区：
文献类型：
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作者：
J. Pralits;P. Luchini
在本文中，我们提出了一种解决最优控制问题的新方法，其中使用类似于基于伴随的控制优化的方法，以有效的方式计算具有大量自由度的复杂流的反馈矩阵K。其思想是将直接伴随系统视为一个输入输出问题，其中输入由当前状态给出，输出是控制。由于控制的维数比状态的维数小得多，因此反馈矩阵K可以由直接伴随系统的伴随解有效地得到。它可以进一步表明使用辛积的直接伴随系统是自伴随的。因此，在适当的初、终条件下，新的伴随系统等价于直接伴随系统。用这种方法可以有效地解决最优控制问题的任何值的控制罚l 2。本文给出了这种新技术应用于抑制圆柱后涡脱落的结果，并与文献[4]中提出的最小能量反馈控制进行了比较。
In this paper we propose a new method to solve the optimal control problem in which the feedback matrix K is computed in an efficient way for complex flows, with large number of degrees of freedom, using an approach similar to adjoint-based control optimization. The idea is to consider the direct-adjoint system as an input-output problem where the input is given by the current state and the output is the control. Since the control has much smaller dimension than the state, the feedback matrix K can be efficiently obtained from the solution of the adjoint of the direct-adjoint system. It can further be shown using the symplectic product that the direct-adjoint system is self adjoint. As a consequence the new adjoint system is equivalent to the direct-adjoint system with suitable initial and terminal conditions. With this method the optimal control problem can be solved efficiently for any value of the control penalty l 2. Results are presented of this novel technique as applied to suppressing the vortex shedding behind a circular cylinder, and compared to the minimal-energy feedback control presented in [4].