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本文研究压电耦合板的主动控制及稳定性。压电耦合板在采用作为传感器和驱动器的压电片之间的速度负反馈时 ,能增大系统的阻尼性能。本文以闭环控制系统方法的特征值分析为基础 ,分析研究了其稳定性。研究表明主动控制在增加系统阻尼性能的同时 ,亦可能导致系统出现不稳定现象。文中指出当仅有对点之间的负反馈时 ,系统是渐近稳定的 ;当负反馈增益矩阵呈非对称或对称但非正定时 ,系统可能出现非稳定。文中以算例进一步给予证实。
This paper studies the active control and stability of piezoelectric coupling plates. Piezoelectric coupling plates increase the damping performance of the system when negative feedback of speed is used between piezoelectric films as sensors and actuators. In this paper, based on the eigenvalue analysis of the closed-loop control system method, the stability is analyzed and studied. Research shows that active control can increase system damping performance and cause system instability. The paper points out that the system is asymptotically stable when there is only negative feedback to the point, and the system may appear unstable when the negative feedback gain matrix is asymmetric or symmetric but not positive definite. In the paper, further examples are given to confirm.