A gradient-based parameter identification method for time-delay chaotic systems

In this paper, the parameter identification problem for a general class of time-delay chaotic systems is considered. The objective of the problem is to determine optimal values for an unknown time-delay and unknown system parameters such that the dynamic model of the system best fits given experimen...

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Bibliographic Details
Main Authors: Chai, Q., Loxton, Ryan
Other Authors: Shengyuan Xu
Format: Conference Paper
Published: IEEE 2014
Online Access:http://hdl.handle.net/20.500.11937/7227
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author Chai, Q.
Loxton, Ryan
author2 Shengyuan Xu
author_facet Shengyuan Xu
Chai, Q.
Loxton, Ryan
author_sort Chai, Q.
building Curtin Institutional Repository
collection Online Access
description In this paper, the parameter identification problem for a general class of time-delay chaotic systems is considered. The objective of the problem is to determine optimal values for an unknown time-delay and unknown system parameters such that the dynamic model of the system best fits given experimental data. We propose a gradient-based optimization algorithm to solve this problem, where accurate values for the partial derivatives of the error function are obtained by solving a set of auxiliary time-delay systems. Simulation results for two example problems show that the proposed algorithm is robust and efficient.
first_indexed 2025-11-14T06:15:18Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T06:15:18Z
publishDate 2014
publisher IEEE
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-72272023-02-13T08:01:36Z A gradient-based parameter identification method for time-delay chaotic systems Chai, Q. Loxton, Ryan Shengyuan Xu Qianchuan Zhao In this paper, the parameter identification problem for a general class of time-delay chaotic systems is considered. The objective of the problem is to determine optimal values for an unknown time-delay and unknown system parameters such that the dynamic model of the system best fits given experimental data. We propose a gradient-based optimization algorithm to solve this problem, where accurate values for the partial derivatives of the error function are obtained by solving a set of auxiliary time-delay systems. Simulation results for two example problems show that the proposed algorithm is robust and efficient. 2014 Conference Paper http://hdl.handle.net/20.500.11937/7227 IEEE fulltext
spellingShingle Chai, Q.
Loxton, Ryan
A gradient-based parameter identification method for time-delay chaotic systems
title A gradient-based parameter identification method for time-delay chaotic systems
title_full A gradient-based parameter identification method for time-delay chaotic systems
title_fullStr A gradient-based parameter identification method for time-delay chaotic systems
title_full_unstemmed A gradient-based parameter identification method for time-delay chaotic systems
title_short A gradient-based parameter identification method for time-delay chaotic systems
title_sort gradient-based parameter identification method for time-delay chaotic systems
url http://hdl.handle.net/20.500.11937/7227