Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities
This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics....
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/8045803 |
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doaj-d9121ff62e4d466dbf4bbd6869c520292020-11-24T23:48:12ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/80458038045803Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input NonlinearitiesAbdesselem Boulkroune0Sarah Hamel1Farouk Zouari2Abdelkrim Boukabou3Asier Ibeas4LAJ, Automatic Control Department, University of Jijel, BP 98, Ouled-Aissa, 18000 Jijel, AlgeriaLAJ, Automatic Control Department, University of Jijel, BP 98, Ouled-Aissa, 18000 Jijel, AlgeriaLARA, École Nationale d’Ingénieurs de Tunis, Université de Tunis El Manar, BP 37, Le Belvédère, 1002 Tunis, TunisiaDepartment of Electronics, University of Jijel, BP 98, Ouled-Aissa, 18000 Jijel, AlgeriaDepartment of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainThis paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme.http://dx.doi.org/10.1155/2017/8045803 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Abdesselem Boulkroune Sarah Hamel Farouk Zouari Abdelkrim Boukabou Asier Ibeas |
spellingShingle |
Abdesselem Boulkroune Sarah Hamel Farouk Zouari Abdelkrim Boukabou Asier Ibeas Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities Mathematical Problems in Engineering |
author_facet |
Abdesselem Boulkroune Sarah Hamel Farouk Zouari Abdelkrim Boukabou Asier Ibeas |
author_sort |
Abdesselem Boulkroune |
title |
Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities |
title_short |
Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities |
title_full |
Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities |
title_fullStr |
Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities |
title_full_unstemmed |
Output-Feedback Controller Based Projective Lag-Synchronization of Uncertain Chaotic Systems in the Presence of Input Nonlinearities |
title_sort |
output-feedback controller based projective lag-synchronization of uncertain chaotic systems in the presence of input nonlinearities |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2017-01-01 |
description |
This paper solves the problem of projective lag-synchronization based on output-feedback control for chaotic drive-response systems with input dead-zone and sector nonlinearities. This class of the drive-response systems is assumed in Brunovsky form but with unavailable states and unknown dynamics. To effectively deal with both dead-zone and sector nonlinearities, the proposed controller is designed in a variable-structure framework. To online learn the uncertain dynamics, adaptive fuzzy systems are used. And to estimate the unavailable states, a simple synchronization error is constructed. To prove the stability of the overall closed-loop system (controller, observer, and drive-response system) and to design the adaptation laws, a Lyapunov theory and strictly positive real (SPR) approach are exploited. Finally, three academic examples are given to show the effectiveness of this proposed lag-synchronization scheme. |
url |
http://dx.doi.org/10.1155/2017/8045803 |
work_keys_str_mv |
AT abdesselemboulkroune outputfeedbackcontrollerbasedprojectivelagsynchronizationofuncertainchaoticsystemsinthepresenceofinputnonlinearities AT sarahhamel outputfeedbackcontrollerbasedprojectivelagsynchronizationofuncertainchaoticsystemsinthepresenceofinputnonlinearities AT faroukzouari outputfeedbackcontrollerbasedprojectivelagsynchronizationofuncertainchaoticsystemsinthepresenceofinputnonlinearities AT abdelkrimboukabou outputfeedbackcontrollerbasedprojectivelagsynchronizationofuncertainchaoticsystemsinthepresenceofinputnonlinearities AT asieribeas outputfeedbackcontrollerbasedprojectivelagsynchronizationofuncertainchaoticsystemsinthepresenceofinputnonlinearities |
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1725486743639031808 |