带有补偿器的结构弱抖振滑移模态控制研究

基于地震激励下固定阶次补偿器对线性结构的控制研究，提出一种利用复合趋近律的新型变结构主动控制算法。相对于传统变结构控制算法，该方法能够通过使用二次线性最优控制理论，均衡控制力和控制效果；并为有限输出反馈控制器在控制系统中的实际应用提供系统的设计方法。该方法能确保系统的稳定，保证抖振效应足够小。最后，对一个主动支撑系统的多自由度剪切型建筑模型进行数值模拟，验证先前的假设并证明这种新型控制方法的有效性。

Sliding Mode Control forWeak Chattering of Building Structureswith Compensators Based on Hybrid Reaching Law

A new active control algorithm based on the hybrid reaching law is proposed for the vibration control oflinear structures with fixed-order compensators under seismic excitation. The main advantages of this method in comparisonwith the traditional variable structure control are as follows： （i） it can make a balance between control efforts and somespecial response quantities of the structure through the use of linear quadratic optimal control theory; （ii） it can provide asystematic approach for design of finite output feedback controllers to facilitate practical implementations of controlsystems; and （iii） the excessive chattering effect can be avoided by introducing the new method. Finally, numericalsimulation for a multi-DOF shear- type building model containing an active brace system is given. The simulation resultsshow that the new control algorithm is quite effective.