用于智能结构振动主动控制的改进自适应PD算法
Active Vibration Control for Smart Structure Based on Improved Adaptive PD Algorithm

针对压电智能结构,引入对参考模型具有良好跟踪效果的自适应PD算法来抑制其振动。鉴于传统自适应PD控制算法在外界快速扰动下缺乏稳定性,尤其在随机扰动情况下该问题尤为突出,因此,在传统自适应PD的基础上耦合速度负反馈控制算法,形成了一种改进的自适应PD算法,并通过Lyapunov方法证明了改进后控制系统的稳定性。根据缩小因子法确定参考模型,分析比较了正弦或随机扰动激励下的改进自适应PD与传统自适应PD算法的控制效果。仿真结果表明,改进的自适应PD控制算法具有更好的鲁棒性和稳定性。
In order to suppress the vibration of the piezoelectric smart structure, the adaptive PD algorithm with perfect reference model tracking performance is usually adopted. But it is lack of stability under rapid disturbance, the problem is particularly prominent caused by random disturbance. Therefore, the direct velocity negative feedback (DVFB) control algorithm is coupled into the adaptive PD algorithm to improve adaptive PD algorithm, and the stability of the new control system is verified by Lyapunov method. The reference model is determined according to the shrinking factor method. Simulation results show that the improved adaptive PD algorithm could have better robustness and stability according to track errors and output displacement effects compared with traditional adaptive PD algorithm under sine signal or random signal excitation