地震激励下参数不确定结构重叠分散保性能控制

摘要

The vibration control approaches of uncertain parameter systems were investigated.Based on inclusion principle,a large-scale structure is divided into a set of substructures.Combining the over-lapping decentralized control strategy with the guaranteed cost control algorithm,an overlapping decentralized guaranteed cost control algorithm was proposed for uncertain parameter structural systems.The presented method can be used to resolve the vibration control of structures with uncertain parameters under earthquake excitation.It was applied to vibration control of the ASCE 20-story benchmark building model under earthquake excitation and compared with the centralized guaranteed cost vibration control approach.The numerical simulation results show that the method proposed in this paper can effectively inhibit the seismic response of the structure when it has modeling uncertainties or when itself has uncertainties,and ensures the reliability and stability of the control system.The proposed overlapping decentralized guaranteed cost control algorithm provides satisfactory control performance and is suitable for the vibration control strategy of large-scale engineering structures.%对参数不确定结构振动控制方法进行了研究.基于包含原理,采用重叠分散控制策略与保性能控制算法相结合的方法,将高层建筑结构划分成一组子结构,对每一个子结构采用保性能控制方法设计控制器,提出了参数不确定结构重叠分散保性能控制方法,较好地解决了地震激励下参数不确定建筑结构的振动控制问题.以20层Benchmark结构模型为研究对象,采用重叠分散保性能控制策略和集中保性能控制策略进行数值模拟.结果表明,对于结构系统建模存在误差或系统本身存在不确定性的情况,本文提出的重叠分散保性能控制方法均能有效降低结构的地震响应,且能够保证控制系统的可靠性和稳定性.