建筑结构振动主动控制的H_2/H_∞混合凸优化方案

Mixed H_2/H_∞ Convex Optimal Schemes for Vibrative Active Control of Architectural Structure

在地震信号和建筑结构系统的范数分析基础上,使用了混合控制优化指标J作为优化目标,并给出其物理含义·针对H2控制方案和H∞控制方案的优缺点,通过LMI凸优化方法求解混合控制器,给出了在给定γ值的前提下极小化指标J的H2/H∞混合控制方案,并给出了仿真算例·

?Based on the norm analysis of earthquake signals and structural system, the mixed optimal control index J was chosen as the target index and its phsical implication was discussed. Considering the merit and defect of the H2 and H∞ control scheme, the controller by LMI convex optimal solution was established. The control scheme was proposed by minimizing the index J on the condition that γ was given a definite value. A simulation example was shown at last.