Effect of Penalty Function Parameter in Objective Function of System Identification

The evaluation of an objective function for a particular model allows one to determine the optimality of a model structure with the aim of selecting an adequate model in system identification. Recently, an objective function was introduced that, besides evaluating predictive accuracy, includes a log...

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Main Authors: Abd Samad, Md Fahmi, Hishamuddin, Jamaluddin, Robiah, Ahmad, Mohd Shafiek, Yaacob, Abul K. M., Azad
Format: Article
Language:en
Published: Universiti Malaysia Pahang 2013
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Online Access:http://eprints.utem.edu.my/id/eprint/9921/1/Paper_penalty_IJAME.pdf
http://eprints.utem.edu.my/id/eprint/9921/
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author Abd Samad, Md Fahmi
Hishamuddin, Jamaluddin
Robiah, Ahmad
Mohd Shafiek, Yaacob
Abul K. M., Azad
author_facet Abd Samad, Md Fahmi
Hishamuddin, Jamaluddin
Robiah, Ahmad
Mohd Shafiek, Yaacob
Abul K. M., Azad
author_sort Abd Samad, Md Fahmi
building UTEM Library
collection Institutional Repository
content_provider Universiti Teknikal Malaysia Melaka
content_source UTEM Institutional Repository
continent Asia
country Malaysia
description The evaluation of an objective function for a particular model allows one to determine the optimality of a model structure with the aim of selecting an adequate model in system identification. Recently, an objective function was introduced that, besides evaluating predictive accuracy, includes a logarithmic penalty function to achieve a suitable balance between the former model’s characteristics and model parsimony. However, the parameter value in the penalty function was made arbitrarily. This paper presents a study on the effect of the penalty function parameter in model structure selection in system identification on a number of simulated models. The search was done using genetic algorithms. A representation of the sensitivity of the penalty function parameter value in model structure selection is given, along with a proposed mathematical function that defines it. A recommendation is made regarding how a suitable penalty function parameter value can be determined.
format Article
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institution Universiti Teknikal Malaysia Melaka
language en
publishDate 2013
publisher Universiti Malaysia Pahang
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spelling my.utem.eprints-99212015-05-28T04:07:43Z http://eprints.utem.edu.my/id/eprint/9921/ Effect of Penalty Function Parameter in Objective Function of System Identification Abd Samad, Md Fahmi Hishamuddin, Jamaluddin Robiah, Ahmad Mohd Shafiek, Yaacob Abul K. M., Azad TA Engineering (General). Civil engineering (General) The evaluation of an objective function for a particular model allows one to determine the optimality of a model structure with the aim of selecting an adequate model in system identification. Recently, an objective function was introduced that, besides evaluating predictive accuracy, includes a logarithmic penalty function to achieve a suitable balance between the former model’s characteristics and model parsimony. However, the parameter value in the penalty function was made arbitrarily. This paper presents a study on the effect of the penalty function parameter in model structure selection in system identification on a number of simulated models. The search was done using genetic algorithms. A representation of the sensitivity of the penalty function parameter value in model structure selection is given, along with a proposed mathematical function that defines it. A recommendation is made regarding how a suitable penalty function parameter value can be determined. Universiti Malaysia Pahang 2013-01 Article PeerReviewed application/pdf en http://eprints.utem.edu.my/id/eprint/9921/1/Paper_penalty_IJAME.pdf Abd Samad, Md Fahmi and Hishamuddin, Jamaluddin and Robiah, Ahmad and Mohd Shafiek, Yaacob and Abul K. M., Azad (2013) Effect of Penalty Function Parameter in Objective Function of System Identification. International Journal of Automotive and Mechanical Engineering (IJAME), 7. pp. 940-954. ISSN 2180-1606
spellingShingle TA Engineering (General). Civil engineering (General)
Abd Samad, Md Fahmi
Hishamuddin, Jamaluddin
Robiah, Ahmad
Mohd Shafiek, Yaacob
Abul K. M., Azad
Effect of Penalty Function Parameter in Objective Function of System Identification
title Effect of Penalty Function Parameter in Objective Function of System Identification
title_full Effect of Penalty Function Parameter in Objective Function of System Identification
title_fullStr Effect of Penalty Function Parameter in Objective Function of System Identification
title_full_unstemmed Effect of Penalty Function Parameter in Objective Function of System Identification
title_short Effect of Penalty Function Parameter in Objective Function of System Identification
title_sort effect of penalty function parameter in objective function of system identification
topic TA Engineering (General). Civil engineering (General)
url http://eprints.utem.edu.my/id/eprint/9921/1/Paper_penalty_IJAME.pdf
http://eprints.utem.edu.my/id/eprint/9921/
url_provider http://eprints.utem.edu.my/