基于补偿器结构的LTR结构振动控制方法

A LTR APPROACH BASED ON COMPENSATOR FOR STRUCTURE VIBRATION CONTROL

针对传统观测器结构LQG/LTR控制器的问题,该文提出了一种基于补偿器结构的LTR控制器设计方法。设计出的补偿器结构控制器的有如下特点:是开闭环稳定的控制器;对给定的回路传函恢复度,该控制器需要的增益和带宽要小于LQG/LTR控制器;对于相同的控制器增益,该控制器的回路传函恢复效果要好于LQG/LTR控制器;低增益和小带宽控制器能较好地摆脱控制力易饱和与控制过程易受噪声污染的困扰,这对结构控制的实际应用和推广有着非常重要的现实意义。最后,数值算例验证了该方法的有效性。

A new compensator is proposed through the comparison of the conventional linear-quadraticGaussian synthesis with a loop-transfer-recovery （LQG/LTR） controller for structure vibration control and an open-loop stable controller is developed. Also the closed-loop stability can be guaranteed. More importantly, the value of the controller＇s gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach. Also, for the same value of gain, the proposed controller achieves much better degree of recovery than the LQG/LTR-based controller. Once this controller is obtained, the woes of control force saturation are either eliminated or at least dampened, and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased. Finally, numerical examples illustrate the above advantage.