| 王宏伟,孙爽.基于子空间方法的非均匀多采样率系统辨识[J].,2014,54(5):575-580 |
| 基于子空间方法的非均匀多采样率系统辨识 |
| Subspace-based method for identification of non-uniformly multirate sampling systems |
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| DOI：10.7511/dllgxb201405014 |
| 中文关键词: 非均匀多采样率系统 状态空间模型 子空间方法 系统辨识 |
| 英文关键词: non-uniformly multirate sampling system state space model subspace-based method system identification |
| 基金项目: |
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| 摘要点击次数: 1905 |
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| 中文摘要: |
| 针对非均匀多采样率系统的建模问题，根据因果关系，建立了非均匀多采样率系统的状态空间模型．对于含有提升变量的状态空间模型，提出基于子空间技术的辨识方法．首先，由系统的输入输出数据建立由Hankel矩阵组成的扩展状态空间方程；其次，利用斜交投影的原理，以及奇异值分解，通过子空间辨识算法确定增广观测矩阵和状态向量；最后，通过最小二乘方法确定模型的参数矩阵．该方法简单有效且对初值具有鲁棒性．仿真实例验证了方法的有效性． |
| 英文摘要: |
| According to the modeling of non-uniformly multirate sampling system, a state space model is derived due to the casual relationship. Subspace-based identification is developed for state space models, which have lifting variables. Firstly, an extended state space equation formed by input-output Hankel matrices is established. Then, the extended observability matrices and state vectors are obtained by subspace-based identification algorithm through the oblique projection and singular value decomposition. Lastly, the parameter matrices are determined using the least square algorithm. A simulation example is presented to illustrate the performance and robustness for initials of the proposed method. |
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