Linear feedback control of transient energy growth and control performance limitations in subcritical plane Poiseuille flow
Linear feedback control of transient energy growth and control performance limitations in subcritical plane Poiseuille flow
复制标题
亚临界平面泊肃叶流中瞬态能量增长的线性反馈控制和控制性能限制
DOI：
10.1063/1.3540672
复制
发表时间：
2011
影响因子：
4.6
通讯作者：
J. Whidborne
中科院分区：
文献类型：
--
作者：
F. Martinelli;M. Quadrio;J. McKernan;J. Whidborne
本文讨论了用反馈控制抑制亚临界平面Poillille流的瞬态能量增长问题。它是假设的时间导数的任何速度分量可以施加在墙壁上作为控制输入和完整的状态信息是可用的。我们表明，这是不可能的设计一个线性状态反馈控制器，导致一个闭环流量系统没有瞬态能量增长。在随后的步骤中，直接针对瞬态增长机制的状态反馈控制器的设计，使用基于线性矩阵不等式方法的程序。这种控制器的性能首先在线性情况下进行分析，其中比较以前提出的线性二次最优控制器;此外，过渡阈值进行评估，通过直接数值模拟的控制三维Poiffille流对不同的初始条件的物理利益，采用不同的速度分量作为壁驱动。预...
Suppression of the transient energy growth in subcritical plane Poiseuille flow via feedback control is addressed. It is assumed that the time derivative of any of the velocity components can be imposed at the walls as control input and that full-state information is available. We show that it is impossible to design a linear state-feedback controller that leads to a closed-loop flow system without transient energy growth. In a subsequent step, state-feedback controllers—directly targeting the transient growth mechanism—are designed using a procedure based on a linear matrix inequalities approach. The performance of such controllers is analyzed first in the linear case, where comparison to previously proposed linear-quadratic optimal controllers is made; further, transition thresholds are evaluated via direct numerical simulations of the controlled three-dimensional Poiseuille flow against different initial conditions of physical interest, employing different velocity components as wall actuation. The pre...