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分析了已有的作动器/传感器配置方法的不足,针对包含密集模态的挠性结构,分析其可控/可观度的特殊性,提出了针对密频系统的作动器/传感器优化配置准则.通过可控性Gram阵的分块解析形式,避免了求解高阶Lyapunov矩阵方程,并利用了轻阻尼疏频系统自然平衡的条件,降低了求解可控度,即可控性矩阵奇异值的计算量.在此基础上用遗传算法寻优,得到元件的优化配置方式.最后通过算例与另外两种基于可控度的优化配置方法对比,证明依本文方法配置密频系统的作动器/传感器,振动控制效果最优.
The disadvantages of existing actuator / sensor configuration methods are analyzed. For flexible structures with dense modalities, the particularity of controllability / observability is analyzed, and the actuator / sensor optimization configuration for dense-frequency systems is proposed Criterion.The partition analysis form of controllable Gram matrix avoids solving the higher-order Lyapunov matrix equation and takes advantage of the natural balance of the light-damping frequency-hopping system to reduce the controllability, that is, the controllable matrix singular value Based on which the optimization of the components can be obtained.Finally, through the comparison between the example and the other two optimal control methods based on the controllability, it is proved that the configuration of the dense-frequency system The best sensor / vibration control.