GPC和LQR算法在压电摩擦阻尼隔震结构中的应用

Application of LQR and GPC Algorithm in Isolation Structure with Piezoelectric Friction Damper

将压电摩擦阻尼器与叠层橡胶垫组成可控隔震系统，根据压电摩擦阻尼隔震系统的特性选择了线性二次型最优控制（LQR）和广义预测控制（GPC）作为整套隔震系统的控制算法，并将半主动控制算法作为控制输出策略；用时程分析法对结构的动力反应进行对比，验证了其隔振效果。结果表明：无论是多遇地震还是罕遇地震，这种隔震体系都可以大大降低结构的地震反应，其中各楼层加速度反应减小75％以上，层间位移减小70％～80％，结构的位移反应主要集中在隔震层；该控制算法大大降低了隔震层的位移，改善了控制效果。

Two kinds of intelligent control algorithms were chosen according to the characteristics of piezoelectric friction damper isolation system, linear quadratic regulator （LQR） and general predictive control （GPC） were chosen as the control algorithms of a complete set of isolation system, and semi-passive control algorithm was chosen as control output strategy. The isolation effect of the control algorithm was validated through contrasting dynamic reaction with time history analysis. The results show that earthquake reaction is significantly reduced in either frequently occurred earthquake or seldom occurred earthquake, accelerated speed of all drifts are reduced more than 750//oo, layer displacement is reduced 70o/oo to 800//oo, displacement reaction of structure mainly concentrates on isolation drift, the control algorithm significantly reduces the displacement of isolation drift and improves the control effect.