Subspace Identification of Spatially Distributed Systems
Subspace Identification of Spatially Distributed Systems
复制标题
空间分布式系统的子空间识别
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
M. Verhaegen
中科院分区：
文献类型：
--
作者：
A. Haber;P. R. Fraanje;M. Verhaegen
摘要 我们提出了一种新的子空间识别算法，用于识别一类空间变化的分布式系统。通过利用分布式系统的空间衰减，所提出的算法从本地输入输出数据（本地子系统附近的子系统的输入输出数据）中识别本地子系统动态。与将全局系统动力学确定为 MIMO 系统的方法相比，新算法的计算复杂度较低。此外，算法保留了全局系统的分布式结构。我们证明了该算法在识别源自热方程离散化的分布式系统方面的有效性。在本文中，我们介绍了该算法的基本原理，而不考虑测量噪声的影响。测量噪声、过程干扰和空间衰减的实验验证问题将在未来的研究论文中解决。
Abstract We propose a new subspace identification algorithm for identifying a class of spatially varying distributed systems. By exploiting the spatial decay of the distributed system, proposed algorithm identifies the local subsystem dynamics from the local-input output data (input-output data of the subsystems in the vicinity of the local subsystem). In contrast to approach where the global system dynamics is identified as a MIMO system, new algorithm has a low computational complexity. Furthermore, algorithm preserves the distributed structure of the global system. We demonstrate the effectiveness of the algorithm on the identification of the distributed system that originates from discretization of the heat equation. In this paper we present the fundamentals of the algorithm, without considering the effect of the measurement noise. The issues of the measurement noise, process disturbance, and experimental verification of the spatial decay will be addressed in the future research papers.