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出 处:《实验力学》2007年第2期155-160,共6页Journal of Experimental Mechanics
摘 要:本文基于H∞控制理论研究了传感器和作动器非同位配置情况下,柔性悬臂梁的多模态振动抑制问题。采用频域辨识方法获取低阶名义模型,合理选取加性不确定权函数和性能权函数,将鲁棒H∞控制问题转化为标准H∞控制问题。为了避免H∞控制器设计过程中产生的零极点对消问题,在求解过程中引入区域极点约束。比较了鲁棒H∞控制器和不考虑高阶未建模动态的非鲁棒H∞控制器的控制效果,实验结果表明,设计的鲁棒H∞控制器能够有效抑制柔性梁的前三阶模态振动,而且不会发生溢出问题。Based on H∞ control theory, this paper presents the results of the multimodal vibration suppression of a flexible cantilever beam with the noncollocated piezoelectric sensor/actuator. The nominal model is derived using the frequency domain identification method. Appropriate weighting functions for disturbance rejection and robust stability are selected and the robust H∞ control problem is reduced to the standard H∞ control problem. To prevent lightly damped ,pole zero cancellation, regional pole constraints are adopted. The control performance of the robust H∞ controller' is compared with that of the non-robust H∞ controller which residual modes are not considered. The experimental results show that the robust H∞ controller can increase the damping of the first three modes of the flexible beam effectively and spillover instability doesn't happen.
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