地震作用下结构振动最优控制的一种一般算法

基于对地震激励输入结构过程的重新理解，直接从二次型控制目标函数的泛函变分出发，推导出了一种更为一般的最优控制算法，并用状态转移的数值方法加以实现．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两部分的影响，从概念上改进了现有的结构最优控制算法；还导出了最优控制力系数表达式，用代数公式取代了传统的Riccati微分方程的求解，提高了计算效率．算例表明，该算法的控制效率优于现有的两种结构最优控制算法，具有更高的精度，且稳定性良好．

A generalized algorithm for optimal control of structures subjected to seismic excitation

A generalized algorithm for optimal control of structures subjected to earthquake excitation is presented based on a new understanding of the way in which the earthquake is input to a structural system. The extreme value for quadratic control objective function is derived by directly performing functional analysis, and the calculation is realized using the numerical method of state transition. An expression of control force is obtained, which includes both the effect of structural response and the external seismic excitation. The model for calculating the control force is conceptually improved compared to several existing optimal control algorithms. An expression of optimal control force coefficients is derived in replacement of the solving of traditional Riccati equation, which is a differential equation, and the efficiency of the calculation is thus improved. Simulation result shows that the proposed method is advantageous over the classical optimal control and instantaneous optimal algorithms in terms of control efficiency, and has almost the same stability with the classical optimal control algorithms.