Reduced-Order System Identification Using The Karhunen-Loeve Transform
作者:
BurlJ.B.,
期刊:
International Journal of Modelling and Simulation
(Taylor Available online 1993)
卷期:
Volume 13,
issue 4
页码: 183-188
ISSN:0228-6203
年代: 1993
DOI:10.1080/02286203.1993.11760202
出版商: Taylor&Francis
数据来源: Taylor
摘要:
AbstractThis paper presents a procedure for empirically generating a reduced- order model of a system given a plethora of sensor data. Data reduction is performed at the onset by projection onto an orthogonal subspace to yield a reduced-order state. The reduced-order state is estimated at each point in time using spatial filtering. Spatial filtering is a suboptimal state estimation technique which has the advantage of decoupling the state estimation and system identification problems. State space system identification is then performed given the estimates of the reduced-order suite. The truncated Karhunen-Loeve (KL) transform is used to define the reduced-order state. The KL transform is optimal for the initial data reduction and yields a number of simplifications in the state estimation and system identification algorithms. A recursive formulation of the entire procedure is presented. The algorithm is illustrated by application to an example.
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