不确定结构输出反馈H∞保性能鲁棒分散控制研究  

OUTPUT FEEDBACK H_∞ GUARANTEED COST ROBUST DECENTRALIZED CONTROL FOR BUILDING STRUCTURE WITH UNCERTAIN PARAMETERS

作　　者：潘兆东 谭平[3] 周福霖[3,2] PAN Zhao-dong;TAN Ping;ZHOU Fu-lin(Department of Civil Engineering,Dongguan University of Technology,Dongguan 523808;Earthquake Engineering Research&Test Center,Guangzhou University,Guangzhou 510405;College of Civil Engineering,Hunan University,Changsha 410082)

机构地区：[1]东莞理工学院建筑工程系,东莞523808 [2]湖南大学土木工程学院,长沙410082 [3]广州大学工程抗震研究中心,广州510405

出　　处：《工程力学》2018年第4期160-167,共8页Engineering Mechanics

基　　金：135重大专项(2017YFC0703600);国家自然科学基金项目(97315301-07,51408142);教育部创新团队项目(IRT13057)。

摘　　要：为了有效处理土木工程结构分散振动控制中模型参数不确定性对系统性能的影响,提出了同时满足多个控制目标的输出反馈H_∞保性能鲁棒分散控制算法。基于Lyapunov稳定性理论和线性矩阵不等式方法,给出并证明了H_∞保性能鲁棒分散控制器存在的充分条件,在此基础上,采用变量替换方法,建立了输出反馈H_∞保性能鲁棒分散控制算法,进而通过引入约束条件,将其转化为具有线性矩阵不等式约束的凸优化问题。针对一12层结构进行分散控制设计、集中控制设计及仿真分析。结果表明,对于具有较大不确定性的结构,输出反馈H_∞保性能鲁棒分散控制算法较传统线性二次高斯集中控制算法有更理想的控制效果。An output feedback H∞guaranteed cost robust decentralized control algorithm is proposed here for dealing with the influence of the parameter uncertainties of a building structure,which can meet the requirements of multiple control objectives simultaneously.Based on Lyapunov stability theory and LMI method,the sufficient conditions for the existence of a robust H∞guaranteed cost decentralized controller is developed and proved.Then the output feedback H∞guaranteed cost robust decentralized control algorithm is established by using a variable substitution method.Furthermore,by introducing the constraint conditions,the H∞guaranteed cost robust controller design is transformed into a convex optimization problem with linear matrix inequality constraints.A 12-story building is selected as a numerical example to illustrate the control performances of the proposed decentralized algorithm.Numerical simulation results indicate that for the building structure with large uncertain parameters,the proposed output feedback H∞guaranteed cost robust decentralized control algorithm has better control effect than that of traditional LQG centralized control algorithm.

关 键 词：主动控制 鲁棒分散控制 H∞保性能控制 输出反馈 线性矩阵不等式 

分 类 号：TU352.1[建筑科学—结构工程]