悬臂板的主动控制及稳定性分析

研究悬臂板的主动控制及稳定性,以闭环控制系统方程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,系统可能会出现非稳定.，Active vibration control and stability analysis of cantilever plate are discussed. Based on the analysis of characteristic equation of the closed-loop control system, it is shown that such an active control may increase damping properties of the system, meanwhile it may result in instability of the system. It is stable when the feedback only occurs between the collocated sensors and actuators, but it may be unstable when there exists the feedback between sensors and actuators, which mainly depends on the property of the gain matrix of feedback. If the gain matrix is symmetric and definitely positive, the system is stable.

Active Vibration Control and Stability Analysis of Cantilever Plate

Active vibration control and stability analysis of cantilever plate are discussed. Based on the analysis of characteristic equation of the closed loop control system, it is shown that such an active control may increase damping properties of the system, meanwhile it may result in instability of the system. It is stable when the feedback only occurs between the collocated sensors and actuators, but it may be unstable when there exists the feedback between sensors and actuators, which mainly depends on the property of the gain matrix of feedback. If the gain matrix is symmetric and definitely positive, the system is stable.