参数不确定建筑结构输出反馈保性能抗震控制

对存在模型参数不确定的建筑结构,研究其在给定二次型性能指标下的输出反馈保性能抗震控制问题.基于线性矩阵不等式处理方法,推导了输出反馈保性能控制器存在的充分条件,并给出了该类控制器设计的具体步骤.以6层建筑结构抗震控制为例,分别对确定性和Kanai-Tajimi过滤白噪声随机性地震加速度激励下控制前后结构的振动响应,进行了数值仿真.结果表明,无论结构模型参数是否存在变异,保性能控制器均有很好的控制效果.

Output feedback guaranteed cost control for aseismic structures with uncertain parameters

A dynamic output feedback guaranteed cost control approach is presented for structures with model parameter uncertainties under seismic excitations. With quadratic cost function given, sufficient conditions for the existence of such an output feedback guaranteed cost controller are derived in the framework of linear matrix inequality optimization, while the steps for controller designing are suggested. To verify the effectiveness of the proposed guaranteed cost control strategy, a six-storey building subjected to a deterministic earthquake acceleration record or to a Kanai-Tajimi filtered white noise random excitation is investigated respectively, which shows that whether the model parameter uncertainties exist or not, the guaranteed cost controller can provide satisfactory results.