结构主动控制的LQG/LTR改进方法

Modified LQG/LTR control method in active structural control

提出一种改进的LQG/LTR(LinearQuadraticGaussiansynthesiswithaLoopTransferRecovery)结构主动控制方法,一种新的补偿器结构被用于回路传输恢复(LTR)。这个补偿器有以下优点:(1)它是开环稳定的;(2)它能保证整个闭环系统的稳定性;(3)更重要的是,对于相同的回路传输恢复度,它所需要的增益要小于传统LQG/LTR方法的基于观测器的控制器增益。还有,就是这个新的补偿器比传统的基于观测器要有较好的恢复性能。最后,数值算例验证了本文方法的有效性。

This paper presents a new active structural control design method comparing with the conventional linear-quadratic-Gaussian synthesis with a loop-transfer-recovery (LQG/LTR) control approach for structures subjected to ground excitations. It results in an open-loop stable controller. 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 worse of control force saturation is 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 advantages.