Design of Shape and Control System for Smart Structures
Design of Shape and Control System for Smart Structures
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智能结构形状与控制系统设计
DOI：
10.2514/6.2001-1555
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
I. Kajiwara
中科院分区：
文献类型：
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作者：
I. Kajiwara
压电薄膜传感器和作动器构成智能结构，以减小结构振动。H2控制器的设计与智能结构，通过有限元和模态分析得到的降阶模型。控制力由压电薄膜驱动器施加，反馈信号由压电薄膜传感器和加速度计检测。通过选择模态坐标和空间位移作为受控响应，进行模态控制和位移控制，并选择合适的作动器位置，实现了有效的减振。采用基于两步法的高效优化算法对结构/压电形状和H2控制系统进行同时优化。应用结果表明，该方法可以有效地提高系统的振动抑制性能。术语B;梁结构的宽度bi;第z个压电致动器元件的宽度Cs;结构的阻尼矩阵F;状态反馈增益Hu;相对于Hzim的性能指标，相对于z | K的性能指标;作为控制器的动态补偿器Ks;结构的刚度矩阵L ;压电传感器的长度Ms;结构的质量矩阵Mst;结构的质量q ;系统的状态向量tB ;结构的厚度tc \压电膜的厚度ii;控制输入Va ;到压电膜致动器的输入电压
A smart structure is composed of piezoelectric film sensor and actuator in order to reduce the structural vibration. H2 controller is designed with the reduced order model of the smart structure which is obtained by finite element and modal analyses. The control force is applied by the piezoelectric film actuator and the feedback signals are detected by the piezoelectric film sensor and the accelerometer in the system. The modal control and the displacement control with the appropriate actuator placement are conducted by selecting the modal coordinates and the spatial displacement as the controlled response, resulting in the effective vibration reduction. Efficient optimization algorithm based on the two-step procedure is employed in the simultaneous optimization of structural/pi ezoelectric shape and H2 control system. It is verified by some applications that the enhanced performance for the vibration suppression can be achieved by the simultaneous optimization. NOMENCLATURE b; Width of the beam structure bi; Width of z-th piezoelectric actuator element Cs; Damping matrix of the structure F; State feedback gain Hu; Performance index with respect to « Hzim, Performance index with respect to z\ K; Dynamic compensator as controller Ks; Stiffness matrix of the structure L ; Length of the piezoelectric sensor Ms; Mass matrix of the structure Mst; Mass of the structure q ; State vector of the system tB ; Thickness of the structure tc \ Thickness of the piezoelectric film ii; Control input Va ; Input voltage to the piezoelectric film actuator