结构-模态主动控制系统的最大允许时滞及稳定性探讨

根据Ｎｙｑｕｉｓｔ稳定性准则、特征值原理和ＬＱＲ控制原理，导出了结构－模态控制系统的位移速度反馈的时滞计算公式，进而可求得结构－模态主动控制系统的最大允许时滞。数值分析表明，用两种不同稳定判据得到的两个最大允许时滞计算公式的计算结果是接近的。研究了时滞补偿后结构－模态主动控制系统的稳定性问题。从具有时滞补偿控制系统的特征方法知，具有时滞补偿的控制系统保持理想控制系统的特征值，既时滞补偿结构－模态主

Discussion on the Maximum Allowable Time-delay and Stability of the Structure-Modal Active Control System

: According to the Nyquist stability criterion, eigenvalue theory and LQR control theory, the calculating formulae for time-delay of the structure-modal active control system with displacement-velocity feedback have been derived. Next, the maximum allowable time-delay of the structure-modal active control system can be calculated. The numerical analysis shows that the calculating results from these two maximum allowable time-delay calculating formulae based on the two different stability criteria are close to each other. The stability about the structure-modal active control system with time-delay compensation has been analyzed. Based on the characteristic eolation for the control system with time-delay compensation, it is found that the real control system with time-delay compensation conserves the eigen-properties of the ideal control system with no time-delay. Therefore, the structure-modal active control system with time-delay compensation is stable.