部分状态可测转子系统振动控制的随机最优策略  

Stochastic optimal strategy in vibration control for imperfect measurement rotor system

作　　者：祝长生[1] 陈拥军[1] 

机构地区：[1]浙江大学电气工程学院,浙江杭州310027

出　　处：《浙江大学学报（工学版）》2007年第6期980-984,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(10332030;10472101)

摘　　要：建立了受控柔性转子系统在随机激励下的状态空间模型.基于线性二次型高斯控制和Kalman-Bucy滤波器理论,提出了在不完全状态信息条件下,转子系统在白噪声和有色噪声激励下振动主动控制的随机最优策略.以一个双盘悬臂柔性转子-轴承系统为例,通过数值方法研究了在El.Centro地震激励作用下采用随机最优策略对转子-轴承系统进行振动主动控制的有效性,并讨论了在性能指标中不同权函数对控制效果的影响.结果表明,提出的随机最优控制策略能够有效抑制转子系统的振动,控制效果随着与位移和速度相关的权矩阵Q中对应元素的增大而变好,随着与控制相关的权矩阵R中对应元素的增大而变差.State space model of a controlled flexible rotor system subjected to random excitation was presented. Based on the linear quadratic Gaussian （LQG） control theory and Kalman-Bucy filter, optimal active vibration control strategies of rotor system with imperfect state information under the white noise and the coloured noise excitations were developed. A numerical example with a double-disk cantilever rotor system subjected to nonstationary El. Centro earthquake excitation was presented to investigate the effectiveness of the presented stochastic optimal control strategy to control the random vibration of the rotor system. The influence of the performance index＇s weighting function on the control effectiveness was discussed. The vibration peak value and the magnitude of displacement response variance of a rotor system subjected to random excitation can be effectively suppressed by the presented stochastic optimal control strategy. The control effectiveness becomes better with the increase of corresponding elements of weighting matrix Q which concerning displacement and velocity and becomes weaker with the increase of corresponding elements of weighting matrix R which concerning controller.

关 键 词：转子系统 随机振动 主动振动控制 随机最优控制 有色噪声 

分 类 号：TH133[机械工程—机械制造及自动化] O324[理学—一般力学与力学基础]