Finite-Time Synchronization for Chaotic Gyros Systems with Terminal Sliding Mode Control

Lijian Yin; Zhihong Deng; Baoyu Huo; Yuanqing Xia

doi:10.1109/TSMC.2017.2736521

Finite-Time Synchronization for Chaotic Gyros Systems with Terminal Sliding Mode Control

Lijian Yin, Zhihong Deng^*, Baoyu Huo, Yuanqing Xia

^*Corresponding author for this work

School of Automation

Research output: Contribution to journal › Article › peer-review

52 Citations (Scopus)

Abstract

A novel adaptive finite-time control method is investigated for the gyros systems in the presence of external disturbance. The fast nonsingular terminal sliding mode surface (NTSMS) is designed which has all advantages of NTSMS and general sliding mode surface together. Based on adaptive law and Lyapunov stability method, the novel proposed theorems are given and proven, and we can obtain that the synchronization errors converge to a small region including zero in finite time. Furthermore, it can be seen that the new adaptive control algorithm can guarantee that the chaotic gyros systems have some excellent properties, and all the signals are finite-time convergent. Finally, the new control scheme is verified by using a numerical example, and can achieve beneficial synchronization under the effectiveness of external disturbance of the gyros systems.

Original language	English
Article number	8082136
Pages (from-to)	1131-1140
Number of pages	10
Journal	IEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume	49
Issue number	6
DOIs	https://doi.org/10.1109/TSMC.2017.2736521
Publication status	Published - Jun 2019

Keywords

Adaptive control
chaotic gyros
fast terminal sliding mode control (TSMC)
synchronization

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10.1109/TSMC.2017.2736521

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title = "Finite-Time Synchronization for Chaotic Gyros Systems with Terminal Sliding Mode Control",

abstract = "A novel adaptive finite-time control method is investigated for the gyros systems in the presence of external disturbance. The fast nonsingular terminal sliding mode surface (NTSMS) is designed which has all advantages of NTSMS and general sliding mode surface together. Based on adaptive law and Lyapunov stability method, the novel proposed theorems are given and proven, and we can obtain that the synchronization errors converge to a small region including zero in finite time. Furthermore, it can be seen that the new adaptive control algorithm can guarantee that the chaotic gyros systems have some excellent properties, and all the signals are finite-time convergent. Finally, the new control scheme is verified by using a numerical example, and can achieve beneficial synchronization under the effectiveness of external disturbance of the gyros systems.",

keywords = "Adaptive control, chaotic gyros, fast terminal sliding mode control (TSMC), synchronization",

author = "Lijian Yin and Zhihong Deng and Baoyu Huo and Yuanqing Xia",

note = "Publisher Copyright: {\textcopyright} 2013 IEEE.",

year = "2019",

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doi = "10.1109/TSMC.2017.2736521",

language = "English",

volume = "49",

pages = "1131--1140",

journal = "IEEE Transactions on Systems, Man, and Cybernetics: Systems",

issn = "2168-2216",

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number = "6",

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TY - JOUR

T1 - Finite-Time Synchronization for Chaotic Gyros Systems with Terminal Sliding Mode Control

AU - Yin, Lijian

AU - Deng, Zhihong

AU - Huo, Baoyu

AU - Xia, Yuanqing

PY - 2019/6

Y1 - 2019/6

N2 - A novel adaptive finite-time control method is investigated for the gyros systems in the presence of external disturbance. The fast nonsingular terminal sliding mode surface (NTSMS) is designed which has all advantages of NTSMS and general sliding mode surface together. Based on adaptive law and Lyapunov stability method, the novel proposed theorems are given and proven, and we can obtain that the synchronization errors converge to a small region including zero in finite time. Furthermore, it can be seen that the new adaptive control algorithm can guarantee that the chaotic gyros systems have some excellent properties, and all the signals are finite-time convergent. Finally, the new control scheme is verified by using a numerical example, and can achieve beneficial synchronization under the effectiveness of external disturbance of the gyros systems.

AB - A novel adaptive finite-time control method is investigated for the gyros systems in the presence of external disturbance. The fast nonsingular terminal sliding mode surface (NTSMS) is designed which has all advantages of NTSMS and general sliding mode surface together. Based on adaptive law and Lyapunov stability method, the novel proposed theorems are given and proven, and we can obtain that the synchronization errors converge to a small region including zero in finite time. Furthermore, it can be seen that the new adaptive control algorithm can guarantee that the chaotic gyros systems have some excellent properties, and all the signals are finite-time convergent. Finally, the new control scheme is verified by using a numerical example, and can achieve beneficial synchronization under the effectiveness of external disturbance of the gyros systems.

KW - Adaptive control

KW - chaotic gyros

KW - fast terminal sliding mode control (TSMC)

KW - synchronization

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U2 - 10.1109/TSMC.2017.2736521

DO - 10.1109/TSMC.2017.2736521

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JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems

JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

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Finite-Time Synchronization for Chaotic Gyros Systems with Terminal Sliding Mode Control

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Keywords

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