线性时变反馈系统的状态空间模型和模态参数递推辨识  

Recursive identification of state space model and modal parameter of linear time-varying feedback system

作　　者：倪智宇 谭述君[2] 吴志刚[1,2] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024 [2]大连理工大学航空航天学院,辽宁大连116024

出　　处：《控制与决策》2016年第2期324-330,共7页Control and Decision

基　　金：国家自然科学基金项目(11072044;11372056)

摘　　要：针对闭环系统中时变状态空间模型和模态参数的辨识问题,提出一种递推辨识格式,将这种格式与递推子空间方法结合,得到一种辨识方法.该方法通过重建输入输出数据之间的关系,递推辨识得到闭环系统的时变状态空间模型和模态参数.算例研究了系统在模态参数突变和周期变化两种情况下的辨识问题,仿真结果表明,所提出算法能有效辨识线性时变反馈系统的状态空间模型和模态参数.A recursive form for the identification of the time-varying state space model and modal parameter of closed-loop system is presented. The approach is derived from the recursive subspace method, and the state space model and modal parameters of closed-loop system are obtained recursively by reconstruct relation of input-output data. In numerical simulations, the parameter identification is studied by considering the cases of sudden change and periodical change of system, respectively. The simulation results show the effectiveness of the proposed approach for identifying state space model and modal parameters of the linear time-varying feedback system.

关 键 词：线性时变系统 模态参数辨识 递推子空间方法 输出反馈 状态空间模型 

分 类 号：O321[理学—一般力学与力学基础] O324[理学—力学]