考虑土-结构相互作用的结构控制H_2/H_∞混合凸优化方案

Mixed H_2/H_∞ convex optimal schemes of structure control considering soil-structure interaction

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。考虑土-结构相互作用的影响,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g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。

Base on the norm analysis of seismic signals and the structural system, the mixed optimal control index J is cited; and its physical implication is defined. The influence of soil-structure interaction (SSI) is considered. By considering the merits and defects of the H2 and H∞ control scheme, a controller is worked out by LMI convex optimal solution; the mixed control schemes that minimize the index J on condition that γ is given a definite value, are proposed.