结构振动序列最优控制算法及其Simulink仿真实现

阐述了序列最优控制算法是针对土木工程结构地震响应振动控制问题中激励不可预知的特点,推导出1 种更为一般的最优控制算法,所获得的最优控制力表达式同时包含了结构响应和地震激励2 部分的影响.该算法增益矩阵与传统的2种最优控制近似算法相比具有时变的特点,提出了在应用该算法进行主动控制Simulink仿真分析时的2种实现方法,并通过AMD控制基准模型对2种实现方法进行了比较,同时也对该算法与现有两种结构最优控制算法的控制效果进行了评价.结果表明,2种实现方法是完全等效的,且在控制效果方面,序列最优控制算法优于现有的2种最优控制算法.

Sequential optimal control algorithm for structural vibration control and its realization with Simulink

Sequential optimal control algorithm is a more general optimal control algorithm derived for earthquake response vibration control in where the excitation is unpredictable.The obtained expression of optimal controlling force covers the influencing factors of both the structural response and earthquake excitation.Compared to the two traditional approximate algorithms of optimal control,the gain matrix in this algorithm makes a feature of time-variation.Two methods for realizing Simulink simulation analysis of active control by using this algorithm are proposed and compared also to each other by using of control benchmark model AMD.Meantime,the control effect of this algorithm and other two structural optimal control algorithms available are evaluated,showing that two realizing methods are completely equivalent.As for the control effect,the sequential optimal control algorithm is superior to those two optimal control algorithms available in that connection.