中文摘要：

针对耦合反馈振动控制系统中不可避免地存在延时问题,建立了双层耦合反馈数字控制系统模型。应用信号传递框图分析了反馈控制系统中多作动器的力耦合关系,克服了传统反馈控制流图中只考虑作动器单端反馈控制力的不足;推导了系统在耦合反馈控制策略时的力传递函数及Z域表达式,研究了控制系统在不同采样时间、阻尼参数和反馈方式下的阶跃响应。结果表明在延迟时间较小时,系统的响应能够逼近对应连续系统的响应,但延迟时间过大时,对应数字控制系统的极点将越过单位圆边界,系统失去稳定性,设计合适的延迟补偿环节可以显著增加控制效果。

英文摘要：

A double stages coupling feedback digital vibration control system model was presented to analyze the dynamic characteristics of the corresponding system with time delay. The coupling relation between actuators was described through the signal transmit block diagram. With the model,the disadvantages of the traditional method were overcome and the reaction forces on the foundation were eliminated. A discrete domain equation for the force transmissibility under coupling feedback control was derived. The step responses of the system with different sampling time,damping and feedback type were calculated. The results show that the response of the digital control system can approach to that of the corresponding continuous system,when the time delay is smaller. But with a longer delay time,the corresponding poles will lie at the outside of the unit circle and the system becomes unstable. A lead compensator was designed to improve the control effect.