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
Description
Summary: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.