基于精细积分的结构主动最优控制算法

Algorithm of Optimal Active Structural Control Based on Precise Integration

为了提高结构控制算法的计算精度,基于动力系统精细算法及结构主动控制原理,对结构瞬时优化闭环及开闭环控制算法进行了改进.与结构控制方程传统的解法不同,改进算法无需求解动力状态矩阵的特征向量及其特征值,从而能提高结构瞬时优化控制精度.作为算例,用此算法对结构进行了控制仿真.结果表明,改进算法是收敛的,对时间步长不敏感,而且精度易于控制.

To raise the calculation precision of active structural control, the closed-loop and closed-open-loop control algorithms for instantaneous structural optimization were improved based on the active structural control strategy and the precise integration method (PIM). Different from the traditional solutions of structural control equations, it is not required for this improved algorithm to solve the characteristic vector and the eigenvalues of a dynamic state matrix. As a result, the precision of instantaneous structural control can be raised. As an example, this algorithm was used for the control simulation of two structures. The results show that the algorithm is convergent and not sensitive to time-step, and its calculation precision can be controlled easily.