以柔性板结构为被控对象,提出混合不确定模型μ综合控制器设计方法并进行了实验验证.首先识别出柔性板实验系统的传递函数模型以及对应的状态空间最小实现模型;在此基础上,利用对系统矩阵的特征值分解和线性分式变换设计了将模态参数摄动提取成正则不确定块对角阵的方法,同时将剩余模态表示成高通滤波器形式,由此构建了混合不确定实验模型的μ综合控制器求解过程.柔性板附加质量时的振动控制实验结果显示,相对开环系统,初始外扰下衰减时间缩短了40s,随机扰动时降噪量提高了近4dB.%A new kind of μ-synthesis controller design method of mixed uncertainty model was presented and proved from test results based on a flexible plate which was bonded with piezoelectric actuators and sensors. Firstly, the MIMO(multi input multi output) transfer function model and the state space model of the vibration system were identified by the multivariable frequency-domain identification theory and the ERA)eigen realization algorithm) method. On the basis of two models, the canonical uncertainty block diagonal matrix extraction method of modal parameter perturbation was designed by means of eigenvalue decomposition of the test model system matrix and linear fraction transformation, at the same time the residual modal was expressed by the high band filter, then the μ - synthesis controller solution procedure was established, which considered the mixed uncertainty of the test model. The active vibration control tests of the plate with three additive masses indicate,comparing with the open-loop system, the attenuation time of initial disturbance is shortened 40s, the noise caused by random disturbance is reduced nearly 4dB.
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