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中文摘要：
为了减小随机激励作用下转子系统的振动，提出了一种用于振动控制的随机最优控制策略．基于线性二次型高斯控制理论，给出了转子系统在白噪声激励作用下振动控制的随机最优控制规律，并通过成形滤波器把有色噪声变为白噪声，得到了有色噪声激励作用下的随机最优控制规律．通过求解方差方程，用数值方法对对随机激励作用下的转子系统的位移响应方差进行了研究．结果表明，该控制策略作用下转子圆盘中心的位移响应方差仅为没有控制策略作用下对应位移响应方差的16．7％．该控制策略能够有效地抑制转子系统的振动．转子圆盘中心的位移响应方差随着随机激励功率谱密度的增大而增大。
英文摘要：
To attenuate the vibration of a rotor system subjected to random exeitation,a stochastic optimal control strategy for the vibration control was presented. Based on the linear quadratic Gaussian control theory, the stochastic optimal control law for vibration control of the rotor system under white noise was proposed. Through transforming colored noise to white noise by shaping filter, the stochastic optimal control law under colored noise was obtained. The displacement response variance of the rotor system under random excitation was investigated numerically by solving the variance equation. The results show that the variance of displacement response of the disk＇s center with the control strategy is only 16.7% of that without the control strategy. The presented control strategy can effectively suppress the vibration of the rotor system. The variance of the displacement response of the disk＇s center increases with increasing power spectral density of the random excitation.
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