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针对一类含有输入时变时滞的结构振动系统,研究了在执行器发生故障情况下系统全局渐近稳定的鲁棒H∞可靠控制设计的问题。首先根据建筑结构力学原理,建立了包含控制输入滞后、执行器故障等的结构系统状态模型。然后基于Lyapunov稳定性理论和线性矩阵不等式处理方法给出了一个时滞依赖型H∞可靠主动控制算法,且控制器存在的充分条件以线性矩阵不等式的形式给出。通过对一个四自由度建筑结构模型在EICentro地震波作用下振动的主动控制仿真,验证了所提方法的可行性,可用于工程结构的振动控制。
Aiming at a class of structural vibration system with input time-varying delay, the robust H∞ reliable control design for the global asymptotic stability of the system under actuator failure is studied. First of all, according to the principle of building structure mechanics, a structural system state model including control input lag and actuator failure is established. Then, a delay dependent H∞ reliable active control algorithm is given based on the Lyapunov stability theory and the linear matrix inequality method. The sufficient conditions for the existence of the controller are given in the form of linear matrix inequalities. Through the simulation of active control of vibration of a 4 DOF building structure model under EICentro seismic wave, the feasibility of the proposed method is verified and it can be used for the vibration control of engineering structures.