LQR control and judicious sensor placement derived from functional gain analysis for a 1D active membrane
LQR control and judicious sensor placement derived from functional gain analysis for a 1D active membrane
复制标题
LQR 控制和明智的传感器放置源自一维活性膜的功能增益分析
DOI：
10.1088/0964-1726/16/6/044
复制
发表时间：
2007
影响因子：
4.1
通讯作者：
E. Ruggiero
中科院分区：
文献类型：
--
作者：
E. Ruggiero
膜反射镜和光圈提出了令人兴奋的替代传统技术在侦察领域。膜结构的超柔性转化为一个数量级的重量减轻和使命成本节省，同时将在轨孔径尺寸提高一个数量级。然而，这些结构的灵活性对在轨稳定性造成严重破坏，因为膜在低频下表现出不利的动力学。为了对抗这些不利的动态，必须追求振动控制的新手段。目前，一个Kapton膜带增强与压电双晶片建模使用欧拉-伯努利梁理论，实验验证，然后通过数值模拟，使用线性二次调节器理论控制。在制定线性二次型调节器（LQR）的问题，有源膜带的功能增益也进行了数值计算。功能增益用于智能地选择结构域内的区域以放置应变计并进行速度测量。一维膜样品为更复杂的模型提供了一个构建模块，并说明了功能增益分析的概念。
Membrane mirrors and apertures pose exciting alternatives to traditional technologies in the reconnaissance field. The ultra-flexibility of membrane structures translates into an order of magnitude reduction in weight and mission cost savings while improving the aperture size on-orbit by an order of magnitude. However, the flexibility of these structures wreaks havoc with on-orbit stability as membranes demonstrate adverse dynamics at low frequencies. To counter these adverse dynamics, novel means of vibration control must be pursued. Currently, a Kapton membrane strip augmented with a piezoelectric bimorph is modeled using Euler–Bernoulli beam theory, experimentally validated, and then controlled through numerical simulation using linear quadratic regulator theory. In formulating the linear quadratic regulator (LQR) problem, the functional gains of the active membrane strip are also numerically computed. The functional gains are used to intelligently select regions within the structure’s domain to place strain gages and to take velocity measurements. The 1D membrane sample provides a building block for more complex models, and illustrates the concept of functional gain analysis.