Title
Output-Error Identification of Large Scale 1D-Spatially Varying Interconnected Systems
Abstract
In this paper, a new identification method for large heterogeneous spatially interconnected systems is presented. A string of different systems in state-space representation is considered. The proposed algorithm optimizes the Output-Error of the global system by using the Steepest-Descent and the Gauss-Newton methods. The main contribution of this work is that both the Jacobian and the Hessian matrix can be entirely captured by using Sequentially Semi-Separable (SSS) matrices. Therefore, all the computations in the optimization routine can be performed with complexity that is linear in the number of subsystems. This fact permits to obtain models for large interconnected systems at low computational cost. Finally, a numerical example is presented in order to show the effectiveness of the proposed algorithm.
Year
DOI
Venue
2015
10.1109/TAC.2014.2350191
Automatic Control, IEEE Transactions  
Keywords
Field
DocType
Mathematical model,Interconnected systems,Jacobian matrices,Vectors,Complexity theory,Equations,Optimization
Quasi-Newton method,Mathematical optimization,Control theory,Mathematics
Journal
Volume
Issue
ISSN
60
1
0018-9286
Citations 
PageRank 
References 
2
0.39
9
Authors
3
Name
Order
Citations
PageRank
Patricio Torres1132.82
van Wingerden, J.-W.2487.48
Michel Verhaegen31074140.85