基于执行器失效的建筑结构振动的非光滑控制方法设计

摘要

In order to make up for uncertain actuator failure, the nonsmooth control method under finite-time stabilization,which overcomes disadvantages of traditional control method by averting influence of actor,is used to suppress structural vibration.According to Lyapnov stable theory, designed control method can realize the stability of building structural vibration.Finally, the three-story building structure which is under numerical simulation with seismic wave named El Centro, and a simulation analysis comparatively by the effect of nons-mooth control,LQR control and no control.The simulation results show that the designed control method has good anti-seismic effect and can be applied to the control of building structural vibration with actor failure.%以补偿不确定性的执行器失效为目的,应用有限时间稳定非光滑控制方法抑制结构振动,克服了传统控制方法忽略执行器影响的弊端.根据Lyapnov稳定理论,论证所设计的控制方法可以实现建筑结构振动的稳定.最后,结合一座3层建筑结构的算例,对地震波El Centro作用下的受控结构进行数值仿真,将非光滑控制条件下的控制效果与无控和LQR控制条件下的控制效果进行对比仿真分析.仿真结果表明,所设计的控制方法用于执行器失效时对建筑结构的振动抑制效果明显,具有良好的抗震效果.