地震作用下参数不确定系统的变结构控制

Variable structure control for earthquake excited uncertain systems

本文对结构参数具有不确定性的变结构控制系统设计方法进行了研究．首先采用摄动方法给出了结构参数具有不确定性时控制系统的运动方程，证明了基于层间剪切模型的参数不确定受控系统与其标称系统具有相同的滑动模态，从而解决了系统切换函数的确定问题，并利用到达条件推导了控制律的表示式．算例分析结果表明，本文的控制方法能有效地减小结构的地震响应，对于结构系统建模存在误差或系统本身存在不确定性的情况，控制效果仍十分显著．

In this paper, variable structure control approaches are studied for the application to earthquake excited uncertain building structure systems. It is proved that the uncertain shear building structure systems have the same sliding mode with its nominal systems. By using the reaching condition of the variable structure system, an open-closed loop controller is presented. Then, the controller is extended by introducing the saturated control method to avoid the adverse effect when the actuators are saturated due to unexpected large earthquake. Simulation results are obtained for a SDOF shear building. It is found that the variable structure control method presented in this paper is robust and quite effective in reducing the dynamic responses of earthquake excited buildings.