用于壁板结构多模态振动主动控制的改进最小控制合成(MCS)算法

摘要

To suppress the vibration of piezoelectric panel structure, the minimal controller synthesis (MCS) algorithm with perfect nonlinear control performances is usually adopted. For its lack of robustness under rapid perturbations, a new adaptive gain compensation function is constructed to improve standard MCS algorithm. The linear quadratic regulator control is selected as reference model, and the stability of control system is verified by Popov standards. Simulation shows the faster convergence rate and smaller tracking error of the improved MCS algorithm in a-daptive gains, track errors and control effects compared with standard MCS algorithm under random signal or sine signal mixed impulse stimulation. And multi-modal disturbance control experiment demonstrates the better control effect and robustness than standard MCS algorithm under nonlinear disturbances.%针对压电壁板结构,引入具有良好非线性控制性能的最小控制合成(minimal controller synthesis,MCS)算法来抑制其振动.鉴于标准的MCS算法在快速扰动下缺乏稳定性,为进一步提高其控制效果,构造了一种新的自适应补偿因子,形成了改进MCS算法-IMCS算法,并通过波波夫准则验证了该控制系统的稳定性.选取LQR(linear quadratic regulator)控制作为参考模型,分别施加宽频随机扰动和前2阶正弦混合脉冲激励,分析比较了IMCS算法和标准MCS算法的控制效果、自适应增益因子和跟踪误差.仿真结果表明,IMCS算法具有更快的收敛速度和更小的跟踪误差；多模态扰动实验结果表明,当存在外部非线性扰动时,IMCS算法具有更好的控制效果和鲁棒性.