D-optimal design for parameter estimation in discrete-time nonlinear dynamic systems
type: Item
instance of: scholarly article
title: D-optimal design for parameter estimation in discrete-time nonlinear dynamic systems
zbMATH Open document ID: 1264.93238
DOI: 10.1155/2012/296701
author: Yu Liu
author: Hamid Reza Karimi
author: Zhiwei Yu
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: An optimal input design method for parameter estimation in a discrete-time nonlinear system is presented in the paper to improve the observability and identification precision of model parameters. Determinant of the information matrix is used as the criterion function which is generally a nonconvex function about the input signals to be designed. To avoid the locally optimizing problem, a randomized design method is proposed by which a globally optimizing test plan other than input signals may be obtained. Then the randomized design can be approximated by a nonrandomized design about optimal inputs. An iterative algorithm integrated with dynamic programming is given and verified by a numerical example on experimental design for self-calibration tests of ISP system.
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 6173165
Wikidata QID: Q58911397
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/296701
OpenAlex ID: W2109693263
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description: scientific article; zbMATH DE number 6173165