Redundancy versus multiple starting points in nonlinear system related inverse problems

Title: Redundancy versus multiple starting points in nonlinear system related inverse problems
Creator: Alamir, Mazen; Welsh, James S.; Goodwin, Graham C.
Relation: Automatica Vol. 45, Issue 4, p. 1052-1057
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2008.11.026
Publisher: Elsevier
Resource Type: journal article
Date: 2009
Description: Nonlinear inverse problems arising in dynamic system state/parameter estimation are generally non-convex, and possess multiple local minima that may threaten the convergence of global optimization routines. This problem is generally addressed by multiple starting point based algorithms. An alternative approach is to use the recently proposed concept of safe redundancy in order to derive an algorithm that crosses singularities by exploiting the particular nature of dynamic inverse problems. These techniques might seem similar, at least at first. The present communication aims to provide insight into the difference between these two approaches. This is accomplished through a simple illustrative example.
Subject: nonlinear inverse problems; crossing singularity; multiple starting points; redundancy; state estimation; parameter estimation; measurement errors
Identifier: uon:7364
Identifier: http://hdl.handle.net/1959.13/807312
Identifier: ISSN:0005-1098
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