Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems

Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems, this paper proposes a super-exponential-zeroing...

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Main Authors: Dechao Chen, Shuai Li, Qing Wu
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/19/1/74
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author Dechao Chen
Shuai Li
Qing Wu
author_facet Dechao Chen
Shuai Li
Qing Wu
author_sort Dechao Chen
collection DOAJ
description Due to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems, this paper proposes a super-exponential-zeroing neurodynamic (SEZN) approach and its associated controller. Unlike the conventional zeroing neurodynamic (CZN) approach with exponential convergence property, the controller designed by the proposed SEZN approach inherently possesses the advantage of super-exponential convergence property, which makes the synchronization process faster and more accurate. Theoretical analyses on the stability and convergence advantages in terms of both faster convergence speed and lower error bound within the task duration are rigorously presented. Moreover, three synchronization examples substantiate the validity of the SEZN approach and the related controller for synchronization of chaotic sensor systems. Comparisons with other approaches such as the CZN approach, show the convergence superiority of the proposed SEZN approach. Finally, extensive tests further investigate the impact on convergence performance by choosing different values of design parameter and initial state.
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spelling doaj.art-38790b501c3f49bba38dd256fb00267f2022-12-22T02:15:18ZengMDPI AGSensors1424-82202018-12-011917410.3390/s19010074s19010074Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor SystemsDechao Chen0Shuai Li1Qing Wu2School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaDepartment of Computing, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, ChinaSchool of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou 310018, ChinaDue to the existence of time-varying chaotic disturbances in complex applications, the chaotic synchronization of sensor systems becomes a tough issue in industry electronics fields. To accelerate the synchronization process of chaotic sensor systems, this paper proposes a super-exponential-zeroing neurodynamic (SEZN) approach and its associated controller. Unlike the conventional zeroing neurodynamic (CZN) approach with exponential convergence property, the controller designed by the proposed SEZN approach inherently possesses the advantage of super-exponential convergence property, which makes the synchronization process faster and more accurate. Theoretical analyses on the stability and convergence advantages in terms of both faster convergence speed and lower error bound within the task duration are rigorously presented. Moreover, three synchronization examples substantiate the validity of the SEZN approach and the related controller for synchronization of chaotic sensor systems. Comparisons with other approaches such as the CZN approach, show the convergence superiority of the proposed SEZN approach. Finally, extensive tests further investigate the impact on convergence performance by choosing different values of design parameter and initial state.http://www.mdpi.com/1424-8220/19/1/74zeroing neurodynamicrecurrent neural networkschaossensorschaotic disturbance rejectionfast synchronization
spellingShingle Dechao Chen
Shuai Li
Qing Wu
Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
Sensors
zeroing neurodynamic
recurrent neural networks
chaos
sensors
chaotic disturbance rejection
fast synchronization
title Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
title_full Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
title_fullStr Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
title_full_unstemmed Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
title_short Rejecting Chaotic Disturbances Using a Super-Exponential-Zeroing Neurodynamic Approach for Synchronization of Chaotic Sensor Systems
title_sort rejecting chaotic disturbances using a super exponential zeroing neurodynamic approach for synchronization of chaotic sensor systems
topic zeroing neurodynamic
recurrent neural networks
chaos
sensors
chaotic disturbance rejection
fast synchronization
url http://www.mdpi.com/1424-8220/19/1/74
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AT shuaili rejectingchaoticdisturbancesusingasuperexponentialzeroingneurodynamicapproachforsynchronizationofchaoticsensorsystems
AT qingwu rejectingchaoticdisturbancesusingasuperexponentialzeroingneurodynamicapproachforsynchronizationofchaoticsensorsystems