结构瞬时最优控制参数影响的数值分析

Parameter analysis for instantaneous optimal control of structures

在瞬时最优控制算法理论分析的基础上,分别以单自由度和三自由度结构模型为例,研究了时间间隔和权矩阵对结构控制反应的影响。首先,进行了瞬时最优控制算法的理论分析,提出了控制算法的影响参数;其次,分别对单自由度和三自由度结构在无控、LQR和瞬时最优三种方法控制下,分析了时间间隔和权矩阵对结构反应的影响。结果表明:时间间隔和权矩阵对结构瞬时最优控制效果影响很大。

In this paper, based on the theoretical analysis of instantaneous-optimal-control algorithm (IOC), the effects of the time interval and weight matrix in the IOC on the controlled responses are studied for both of SDOF and 3DOF structures. Firstly, some theoretical analyses for the instantaneous-optimal-control algorithm are made and the parameters in the algorithm, which may strongly effect on the controlled responses of structures, are put forward. Secondly, the simulation analyses of SDOF and 3DOF structures are made by using the instantaneous-optimal-control algorithm and LQR algorithm, and the effects of the time interval and weight matrix IOC on the controlled response are studied. The analysed results show that the time interval and weight matrix in IOC do have strong effects on the controlled responses of structures.