建筑结构基于Kalman滤波器的趋近律离散变结构控制

摘要

For implementations of active control systems in large civil engineering structures ,it may not be practical to install great number of sensors to measure the full-state vector .Considering the advantage of Kalman filter w hich could estimate part states of system ,a new discrete-time variable structure control method is presented for seismically-excited building structures .Kalman filter algorithm and the designing method of switching function are put forward .The variable structure controller is designed via the discrete-time reaching law .Finally the effectiveness of the discrete-time variable structure control method is verified by the model of a three-storey shear-type building structure .Simulation results obtained from the proposed static output feedback controller are compared with the traditional full-state feedback controller ,w hich show s preliminarily that the new control method is remarkable and robust .%针对在大型的建筑结构中安装过多的传感器进行主动控制是不切实际的，基于Kalman 滤波器具有较准确估计系统部分未知状态的特点，提出一种基于Kalman滤波器的趋近律离散变结构控制方法，对一维地震动作用下建筑结构的振动控制问题进行了研究。以一个三层剪切型结构模型验证了该控制方法的有效性。仿真结果表明：利用Kalman滤波器算法和离散指数趋近律所设计的变结构控制器在系统状态信息不完备的情况下，具有较好的控制效果和鲁棒性。