参数不确定结构动态输出反馈重叠分散保性能控制方法

Dynamic output feedback overlapping decentralized guaranteed cost control approach for structures with uncertain parameters

针对参数不确定建筑结构在地震激励下控制方法,采用重叠分散控制策略,提出了动态输出反馈的重叠分散保性能控制算法。基于包含原理,一个大尺度结构分为一组具有共同部分的成对子系统,使用保性能算法和线性矩阵不等式设计了子系统的控制器,然后利用收缩原理,形成原系统的控制器。利用提出的动态输出反馈重叠分散保性能控制方法,对20层Benchmark结构模型进行数值模拟分析,并与采用重叠分散LQG、状态反馈重叠分散、输出反馈集中保性能控制方法进行了分析对比。结果表明,提出控制算法能够降低地震激励下结构动力响应且保证了控制系统在结构参数摄动下的鲁棒性。

For the control strategy of building structures with uncertain parameters under seismic excitation, a dynamic output feedback overlapping decentralized guaranteed cost control algorithm is proposed by using the overlapping decentralized control strategy. Based on the inclusion principle, a large-scale structure is divided into a group of paired subsystems with common parts, the common parts of which are overlapping parts. Using the guaranteed performance algorithm and the linear matrix inequality(LMI) method, the controller of the subsystem is designed, and then the contraction principle is used to form the controller of the original system. A 20-story benchmark building model is numerically simulated by using the proposed dynamic output feedback control methods of overlapping decentralized guaranteed cost and it is compared with the overlapping decentralized LQG control, the state feedback overlapping decentralized guaranteed cost control and output feedback centralized guaranteed cost control. Numerical simulation results show that the proposed method can effectively reduce the dynamic response of the structure under seismic excitation and ensure the robustness of the control system under the perturbation of the structural parameters.