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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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