Multirate systems are abundant in industry; for example, many soft-sensor design problems are related to modeling, parameter identification, or state estimation involving multirate systems. The study of multirate syst...Multirate systems are abundant in industry; for example, many soft-sensor design problems are related to modeling, parameter identification, or state estimation involving multirate systems. The study of multirate systems goes back to the early 1950's, and has become an active research area in systems and control. This paper briefly surveys the history of development in the area of multirate systems, and introduces some basic concepts and latest results on multirate systems, including a polynomial transformation technique and the lifting technique as tools for handling multirate systems, lifted state space models, parameter identification of dual-rate systems, how to determine fast single-rate models from dual-rate models and directly from dual-rate data, and a hierarchical identification method for general multirate systems. Finally, some further research topics for multirate systems are given.展开更多
提出了一种基于自由响应信号识别时变系统物理参数的子空间方法。该方法以任意组合的位移、速度、加速度响应信号为测量信息,通过对仅利用一组响应信号组成的H anke l矩阵做奇异值分解,识别出等效状态的系统矩阵,然后运用推导出来的通...提出了一种基于自由响应信号识别时变系统物理参数的子空间方法。该方法以任意组合的位移、速度、加速度响应信号为测量信息,通过对仅利用一组响应信号组成的H anke l矩阵做奇异值分解,识别出等效状态的系统矩阵,然后运用推导出来的通用时变系统的转换矩阵,将等效状态系统矩阵转换成为实际物理状态下的系统矩阵,从而识别出实际系统的刚度、阻尼矩阵。以二自由度弹簧-质量-阻尼模型为算例,研究了突变、线性变化和周期变化三种变化形式下物理参数的识别,并讨论了不同信噪比下噪声对识别结果的影响,仿真算例验证了该方法的正确性和有效性。展开更多
基金Supported by the Natural Sciences and Engineering Research Council of Canada and National Natural Science Foundation of P.R.China
文摘Multirate systems are abundant in industry; for example, many soft-sensor design problems are related to modeling, parameter identification, or state estimation involving multirate systems. The study of multirate systems goes back to the early 1950's, and has become an active research area in systems and control. This paper briefly surveys the history of development in the area of multirate systems, and introduces some basic concepts and latest results on multirate systems, including a polynomial transformation technique and the lifting technique as tools for handling multirate systems, lifted state space models, parameter identification of dual-rate systems, how to determine fast single-rate models from dual-rate models and directly from dual-rate data, and a hierarchical identification method for general multirate systems. Finally, some further research topics for multirate systems are given.
文摘提出了一种基于自由响应信号识别时变系统物理参数的子空间方法。该方法以任意组合的位移、速度、加速度响应信号为测量信息,通过对仅利用一组响应信号组成的H anke l矩阵做奇异值分解,识别出等效状态的系统矩阵,然后运用推导出来的通用时变系统的转换矩阵,将等效状态系统矩阵转换成为实际物理状态下的系统矩阵,从而识别出实际系统的刚度、阻尼矩阵。以二自由度弹簧-质量-阻尼模型为算例,研究了突变、线性变化和周期变化三种变化形式下物理参数的识别,并讨论了不同信噪比下噪声对识别结果的影响,仿真算例验证了该方法的正确性和有效性。
