H∞ switching synchronization for multiple time-delay chaotic systems subject to controller failure and its application to aperiodically intermittent control

This paper is concerned with the H ∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary failure. Based on the idea of switching, the synchronization error systems with controller temporary failure are modeled as a class of swit...

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Published inNonlinear dynamics Vol. 92; no. 3; pp. 869 - 883
Main Authors Sang, Hong, Nie, Hong
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.05.2018
Springer Nature B.V
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Abstract This paper is concerned with the H ∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary failure. Based on the idea of switching, the synchronization error systems with controller temporary failure are modeled as a class of switched synchronization error systems. Then, a switching condition that incorporates the controller failure time is constructed by using piecewise Lyapunov functional and average dwell-time methods, such that the switched synchronization error systems are exponentially stable and satisfy a weighted H ∞ performance level. In the meantime, a switching state feedback H ∞ controller is derived by solving a set of linear matrix inequalities. More incisively, the obtained results can also be applied to the issue of aperiodically intermittent control. Finally, three simulation examples are employed to illustrate the effectiveness and potential of the proposed method.
AbstractList This paper is concerned with the H∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary failure. Based on the idea of switching, the synchronization error systems with controller temporary failure are modeled as a class of switched synchronization error systems. Then, a switching condition that incorporates the controller failure time is constructed by using piecewise Lyapunov functional and average dwell-time methods, such that the switched synchronization error systems are exponentially stable and satisfy a weighted H∞ performance level. In the meantime, a switching state feedback H∞ controller is derived by solving a set of linear matrix inequalities. More incisively, the obtained results can also be applied to the issue of aperiodically intermittent control. Finally, three simulation examples are employed to illustrate the effectiveness and potential of the proposed method.
This paper is concerned with the H ∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary failure. Based on the idea of switching, the synchronization error systems with controller temporary failure are modeled as a class of switched synchronization error systems. Then, a switching condition that incorporates the controller failure time is constructed by using piecewise Lyapunov functional and average dwell-time methods, such that the switched synchronization error systems are exponentially stable and satisfy a weighted H ∞ performance level. In the meantime, a switching state feedback H ∞ controller is derived by solving a set of linear matrix inequalities. More incisively, the obtained results can also be applied to the issue of aperiodically intermittent control. Finally, three simulation examples are employed to illustrate the effectiveness and potential of the proposed method.
Author Sang, Hong
Nie, Hong
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  surname: Nie
  fullname: Nie, Hong
  email: hongnie_001@163.com
  organization: School of Sciences, Liaoning Shihua University
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Switching method
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Chaotic systems
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  doi: 10.1016/j.physa.2008.02.010
– volume: 24
  start-page: 1114
  issue: 7
  year: 2013
  end-page: 1126
  ident: CR29
  article-title: Exponential synchronization and state estimation for chaotic systems via a unified model
  publication-title: IEEE Trans. Neural Netw. Learn. Syst.
  doi: 10.1109/TNNLS.2013.2251000
SSID ssj0003208
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Snippet This paper is concerned with the H ∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller...
This paper is concerned with the H∞ synchronization control problem for a class of chaotic systems with multiple delays in the presence of controller temporary...
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springer
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SubjectTerms Automotive Engineering
Chaos theory
Classical Mechanics
Computer simulation
Control
Dynamical Systems
Engineering
Errors
Failure
H-infinity control
Linear matrix inequalities
Mathematical analysis
Matrix methods
Mechanical Engineering
Original Paper
State feedback
Switching
Time synchronization
Vibration
Title H∞ switching synchronization for multiple time-delay chaotic systems subject to controller failure and its application to aperiodically intermittent control
URI https://link.springer.com/article/10.1007/s11071-018-4097-1
https://www.proquest.com/docview/2023436898
Volume 92
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