摘要
为了提高LQR最优控制方法对压电类智能结构的振动控制效果,推导了表面离散分布压电元件的柔性悬臂梁结构的驱动和传感方程以及梁的弯曲振动方程,用模态分析方法对方程进行解耦和模型降阶,建立控制系统的状态空间方程。利用有限元分析方法来衡量压电元件对梁固有特性的影响,对状态空间方程的自振频率和振型函数进行修正,得到更为精确的数学模型。通过一悬臂梁的LQR最优控制仿真实例表明,经过模型修正后的最优振动控制效果更好。
In order to improve the vibration control effect of piezoelectric smart structures using the LQR optimal control method.Actuator equation,sensor equation and bending vibration of beam are derived,which surfaces are boned piezoelectric patches as sensor and actuator.Modal analysis method is used to decouple and model reduction.And the state-space equation of control systems is established.Piezoelectric patches have an effect on the natural frequency and model of flexible cantilever beam.Finite element analysis method is employed to measure the effects.Then modify the state-space equation and obtain the more precise model.It is shown that the method has better efficient then without modification through a simulation analysis of a piezoelectric smart cantilever beam.
出处
《机械设计与制造》
北大核心
2011年第2期180-182,共3页
Machinery Design & Manufacture
基金
邯郸市科学技术研究与发展计划项目(0921120069)
河北省教育厅科学研究计划项目(2009416)
关键词
LQR最优控制
压电
模型修正
有限元分析
LQR optimal control
Piezoelectric
Model modification
Finite element analysis
