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D-Optimal Design for Parameter Estimation in Discrete-Time Nonlinear Dynamic Systems
Joint Authors
Liu, Yu
Yu, Zhiwei
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Yu& Karimi, Hamid Reza& Yu, Zhiwei. 2012. D-Optimal Design for Parameter Estimation in Discrete-Time Nonlinear Dynamic Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029528
Modern Language Association (MLA)
Liu, Yu…[et al.]. D-Optimal Design for Parameter Estimation in Discrete-Time Nonlinear Dynamic Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029528
American Medical Association (AMA)
Liu, Yu& Karimi, Hamid Reza& Yu, Zhiwei. D-Optimal Design for Parameter Estimation in Discrete-Time Nonlinear Dynamic Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029528
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029528