Identification of 2D Interconnected Systems

An efficient Steepest-Descent approach

Journal article (2018)

Authors

Patricio Torres Universidad de Chile
J.W. van Wingerden Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering
Research Group
Team Jan-Willem van Wingerden (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2018 Patricio Torres, J.W. van Wingerden
DOI: https://doi.org/10.1016/j.ifacol.2018.09.094
Interconnected systems Efficient Algorithms Jacobian Output-Error identification Steepest-Descent
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Published Date

2018

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Jan-Willem van Wingerden

Abstract

In this paper, a new identification method for large 2D grids of interconnected systems is presented. The proposed algorithm minimizes the Output-Error of the lifted system by using a Steepest-Descent optimization method which exploit the Multilevel Sequentially-Semi Separable (MSSS) structure of the involved matrices. Furthermore, it is shown that the computational complexity of the proposed approach is linear with respect to the number of subsystems in the grid. Finally, a numerical example is presented in order to show the effectiveness of the proposed algorithm.