基于改进等效滑模控制的振动主动控制研究∗

摘要

In order to suppress the vibration of the piezoelectric smart structure, the equivalent sliding mode control with perfect reference model tracking performance is usually adopted. But it is lack of steadiness un-der large sliding mode function, Therefore, reaching term is coupled into equivalent sliding mode control to improve equivalent sliding mode control, 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 improve equivalent sliding mode control could have better robustness and stability according to track displacement and output displacement effects compared with equivalent sliding mode control under sine signal excitation.%针对压电智能结构，引入对参考模型具有良好跟踪效果的等效滑模控制来抑制其振动。鉴于传统等效滑模控制在滑模函数较大的情况下系统趋近滑动模态速度过慢的问题，提出在传统的等效滑模控制的基础上耦合趋近项，形成了一种改进的等效滑模控制，并通过Lyapunov方法证明了改进后控制系统的稳定性。结合参考模型，分析比较了正弦扰动激励下的改进等效滑模控制与传统等效滑模控制的控制效果。仿真结果表明，改进的等效滑模控制系统具有更好的鲁棒性和稳定性。