【摘要】 研究结构振动的时滞输出反馈控制,通过部分可测输出量实现整个系统的主动振动控制.首先将系统的运动微分方程改写成状态空间模型,其控制输入中存在时滞.再利用一个线性项加积分项的变换将原时滞输入系统转化成无时滞的形式.在此基础上,应用输出反馈原理和合理的性能指标设计出系统的控制律.最后以一个三层建筑结构为例,研究系统在地震载荷下的动态响应.在数值计算中,时滞量取为采样周期的整数倍,积分步长取为采样周期.仿真结果表明,本文提出的时滞输出反馈控制律是有效且实用的.更多还原

【Abstract】 Time delay control of structural vibration was investigated in terms of output feedback,i.e.,utilizing the measurable output to realize an active vibration control of the entire system.The differential equation of motion of the system was first transformed to a state-space model with time-delay control input.Then,a transformation with a linear term and an integral term was employed to transform the original time-delay system into a form without time-delays.Accordingly,the principle of output feedback was used to design a control law for the system in terms of a reasonable performance index.Finally,as an example,the dynamical responses of a three-story model under earthquake loadings was investigated by numerical calculation,where the value of the time delay is integer times the sampling period and the integration time step is chosen to be identical to the sampling period.The numerical results show that the time delay control algorithm by output feedback proposed is valid and practically applicable.更多还原