结构振动的离散次最优控制

Discrete Sub-Optimal Control Method for Structural Vibration

将连续控制系统和系统性能指标转换成离散形式 ,根据性能指标相对于控制增益的二阶灵敏度分析 ,确定用于控制反馈的系统状态 ,然后进行次最优控制的设计。仿真计算结果显示 ,二阶灵敏度能够较好地确定系统状态反馈的取舍 。

Discrete sub optimal control method for structural vibration is invest igated in this paper. Continuous dynamic system and performance index are fist t ransformed into discrete forms respectively, then the second order sensitivity w hich is the second order partial derivative of the performance index with respe c t to control gain is used to determine those parts of states used for control fe edback. Finally, sub optimal control law is designed only using these parts of s tates. Simulation results demonstrate that the second order sensitivity is effe c tive in revealing the important degree of all the states to the control performa nce, and the sub optimal control method is effective in reducing maximum respon ses of structures.