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压电智能梁的状态相关LQR振动控制
引用本文:王宗利,林启荣,刘正兴.压电智能梁的状态相关LQR振动控制[J].上海交通大学学报,2001,35(4):503-508.
作者姓名:王宗利  林启荣  刘正兴
作者单位:上海交通大学建筑工程与力学学院,
摘    要:为改善采用压电材料的智能梁的振动控制,提出了一个状态相关LQR(Linear Quadratic Regulator)控制方法,在离散时刻上依据状态选取主控模态,调整目标函数并更新增益矩阵,从而使主控模态具有较大的阻尼,数值计算了一悬臂梁和简支梁在不同初始条件下的响应,结果表明,该方法能够有效改善控制效果。

关 键 词:智能梁  振动控制  线性二次型调节器  状态相关LQR控制  压电材料  航天器  微型机械结构
文章编号:1006-2467(2001)04-0503-06
修稿时间:2000年4月26日

State-Dependent LQR Vibration Control for Piezoelectric Intelligent Beam
WANG Zong-li,LIN Qi-rong,LIU Zheng-xing.State-Dependent LQR Vibration Control for Piezoelectric Intelligent Beam[J].Journal of Shanghai Jiaotong University,2001,35(4):503-508.
Authors:WANG Zong-li  LIN Qi-rong  LIU Zheng-xing
Abstract:A kind of state dependent LQR(Linear Quadratic Regulator) control method was presented to improve the effect of vibration control for piezoelectric intelligent beam. By choosing focus mode according to the instantaneous state at discrete time, then adjusting the object function and updating the gain matrix, consequently a bigger damping ratio was given to the focus model. Numerical calculations were carried out for a cantilever and a simple support beam under different initial conditions. The results show that this method can improve the performance of control input and output effectively.
Keywords:piezoelastic  intelligent beam  vibration control  linear quadratic regulator(LQR)
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