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针对大型空间索网结构,研究了含作动器/传感器的压电主动杆件的优化配置。首先,在降阶的模态坐标下建立了状态空间形式的结构动力学方程,得到了模态控制力能量自相关矩阵,并根据该矩阵的秩来优化同位配置的作动器/传感器数目。然后,根据系统总储能积分最小、传感器接收信号能量最大的复合优化准则,利用基于字典序排列组合编码的遗传算法获得作动器/传感器全局最优配置的位置及闭环控制系统反馈增益。最后以大型环形桁架天线中的三向抛物面索网的振动控制为例,对比单一能量准则,验证了本文方法的计算效率、寻优准确性及控制有效性。
In view of the large-scale cable network structure, the optimal configuration of piezoelectric active rod with actuator / sensor is studied. First, the structural dynamics equations in the form of state space are established under the reduced mode coordinates, and the autocorrelation matrix of modal control force is obtained. Based on the rank of the matrix, the number of actuators / sensors in the same position is optimized. Then, based on the composite optimization criterion with the smallest total energy storage points and the largest received signal energy of the sensor, the position of the actuator / sensor global optimal configuration and the feedback gain of the closed-loop control system are obtained by using the genetic algorithm based on the dictionary sequence combination coding. Finally, taking the vibration control of the three-dimensional parabolic net in the large circular truss antenna as an example, the computational efficiency, searching accuracy and control effectiveness of the proposed method are verified by comparing the single energy criterion.