结构振动控制系统控制作用最优分布

Control Action Optimal Distribution for Structural Vibration Control Systems

结构振动控制技术是结构抗震抗风及抵抗动力扰动的新技术。对于多点设置控制作用的结构系统,系统控制作用有一个最优分布的问题。本文针对LQG问题的离散时间系统和连续时间系统,给出了各自的性能指标对系统控制作用设置矩阵的灵敏度。对系统最优控制灵敏度分析,本文研究了系统控制作用设置对系统最优控制的影响及系统最优控制性能指标增量的计算方法。根据各控制作用对系统最优控制的贡献,给出了系统控制作用优化分布的设计方法。

Structural vibration control is a new technique for structural seismic and wind resistances. There is a problem of control action optimal distribution for the structural control system of multi-control action installment. For each of the time discretized system and time continuous system of LQG problem, the sensitivity for each performance index to the control action distribution has been proposed in this paper, The effect of control action distribution to system optimal control and the algorithm of the increment of performance index for the system control have been studied in this paper also for sensitivity analysis to the control action distribution. According to the contribution of each control action to system optimal control, the design method of control action optimal distribution for the system is developed.