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中文摘要：
在经典的Prony法理论的基础上，提出了可以同时处理多维非平稳信号的时变多变量Prony法，并将其应用于时变多自由度振动系统的模态参数辨识。对传统的递推最小二乘算法加以改进，解决了时变多变量参数模型中时变参数矩阵估计的难题。对时变平面两杆操作臂系统进行仿真和分析，得出了较满意的结果。证明该算法在时变结构模态参数辨识方面，具有有效、准确的计算能力和较强的过程跟踪能力。
英文摘要：
Based on the classical Prony theory, a new time varying multivariate Prony method is put forward, which can simultaneously treat with multidimensional nonstationary signals. And the application of the proposed method to the modal parameter identification of time varying MDOF systems is investigated. The difficult problem of estimating the time varying parameter matrices of the time varying multivariate model is solved by using the modified recursivc least square method. Satisfying results are obtained through the simulation of a time varying planar manipulator system. It is proved thatthe method presented has accurate computing and good tracking capacities in the modal identification of time varying structures.
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