Chaos synchronization and parameters identification of single time scale brushless DC motors
type: Item
instance of: scholarly article
title: Chaos synchronization and parameters identification of single time scale brushless DC motors
zbMATH Open document ID: 1071.34048
published in: Chaos, Solitons and Fractals
publication date: 2004-08-19T00:00:00Z
review text: The purpose of the paper is to study the system of ordinary differential equations, which describes the dynamics of a brushless dc motor. The rescaled system has the form \[ \begin{aligned} x_1' &= v_q -x_1 -x_2 x_3 + \rho x_3,\\ x_2' &= v_d -\delta x_2 +x_1 x_3,\tag{1}\\ x_3' &= \sigma(x_1 - x_3) +\eta x_1 x_2-T_L,\end{aligned} \] where \(v_q, v_d,T_L,\sigma,\) and \(\eta\) are parameters. The authors identify regions of chaotic behavior of system (1) by computing numerically the Lyapunov exponents. Also, they study synchronization of coupled identical systems of the form (1) using different control schemes. Finally, two methods are applied to achieve parameter identification: the adaptive control and the random optimization method.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 2093177
zbMATH Keywords: brushless DC motor
zbMATH Keywords: chaos synchronization
zbMATH Keywords: parameter identification
author: Zheng-Ming Ge
author: Ching-Ming Chang
MaRDI profile type: Publication
full work available at URL: j.chaos.2003.10.005
OpenAlex ID: W2062404349
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DOI: 10.1016/J.CHAOS.2003.10.005
description: scientific article; zbMATH DE number 2093177