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基于LQG最优控制法的压电智能结构独立模态空间控制
引用本文:张京军,何丽丽,李现敏,高瑞贞.基于LQG最优控制法的压电智能结构独立模态空间控制[J].计算力学学报,2010,27(5):789-794.
作者姓名:张京军  何丽丽  李现敏  高瑞贞
作者单位:1. 河北工程大学,科研处,邯郸,056038
2. 河北工程大学,土木工程学院,邯郸,056038
基金项目:河北省自然科学基金(E2008000731);河北省教育厅科学研究计划(2006107)资助项目.
摘    要:采用压电材料作为传感器和驱动器对智能结构振动主动控制进行研究,基于机电耦合的压电智能结构传感和驱动方程,将振动控制动力学方程变换到模态空间对方程进行解耦。通过计算结构最大应变,确定压电元件的最佳粘贴位置。考虑到系统过程噪声和量测噪声的影响,设计Kalman滤波器,采用基于线性二次型高斯(LQG)最优控制的独立模态空间控制方法对压电智能结构的振动进行控制。最后以压电智能悬臂梁为例进行控制仿真,验证了此方法的有效性。

关 键 词:压电材料  智能结构  主动控制  LQG最优控制  独立模态空间
收稿时间:9/2/2008 12:00:00 AM

The independent modal space control of piezoelectric intelligent structures based on LQG optimal control method
ZHANG Jing-jun,HE Li-li,LI Xian-min and GAO Rui-zhen.The independent modal space control of piezoelectric intelligent structures based on LQG optimal control method[J].Chinese Journal of Computational Mechanics,2010,27(5):789-794.
Authors:ZHANG Jing-jun  HE Li-li  LI Xian-min and GAO Rui-zhen
Affiliation:Department of Science Research, Hebei University of Engineering, Handan 056038, China;School of Civil Engineering, Hebei University of Engineering, Handan 056038, China;School of Civil Engineering, Hebei University of Engineering, Handan 056038, China;School of Civil Engineering, Hebei University of Engineering, Handan 056038, China
Abstract:The active vibration control for intelligent structures are studied by using piezoelectric materials as sensors and actuators in this paper, based on the mechanical-electrical coupling equations of sensors/actuators, the vibration control dynamics equations are decoupled through converting them into the modal space form. The optimal collocated position of piezoelectric element is determined through the calculation of the maximal stress. Considering the influence of the process noise and measurement noise to the dynamics characteristic of the structures, a Kalman filter is designed, and adopts the independent modal space control method which based on the Linear Quadratic Gauss (LQG) optimal control to suppress the vibration of the piezoelectric intelligent structures. Finally, the paper takes a piezoelectric intelligent cantilever beam as an example and gives the controlled simulation curve, the results show the effectivity of the method in this paper.
Keywords:piezoelectric materials  intelligent structures  active vibration control  LQG optimal control  independent modal space
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