Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control

Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control

We have investigated the synchronization and antisynchronization behaviour of two identical planar oscillation of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The des...

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Main Author: Mohammad Shahzad
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2011/816432
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spelling doaj-51fea7455c0a44c8b874d23c931685a92020-11-25T01:33:27ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/816432816432Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active ControlMohammad Shahzad0Department of Information Technology, Higher College of Technology, Muscat, OmanWe have investigated the synchronization and antisynchronization behaviour of two identical planar oscillation of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, is found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and antisynchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using mathematica.http://dx.doi.org/10.1155/2011/816432
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad Shahzad
spellingShingle Mohammad Shahzad
Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
Journal of Control Science and Engineering
author_facet Mohammad Shahzad
author_sort Mohammad Shahzad
title Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
title_short Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
title_full Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
title_fullStr Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
title_full_unstemmed Synchronization and Antisynchronization of a Planar Oscillation of Satellite in an Elliptic Orbit via Active Control
title_sort synchronization and antisynchronization of a planar oscillation of satellite in an elliptic orbit via active control
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2011-01-01
description We have investigated the synchronization and antisynchronization behaviour of two identical planar oscillation of a satellite in elliptic orbit evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and the Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, is found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and antisynchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using mathematica.
url http://dx.doi.org/10.1155/2011/816432
work_keys_str_mv AT mohammadshahzad synchronizationandantisynchronizationofaplanaroscillationofsatelliteinanellipticorbitviaactivecontrol
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