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 in | Nonlinear dynamics Vol. 92; no. 3; pp. 869 - 883 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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. |
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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 |
Author_xml | – sequence: 1 givenname: Hong surname: Sang fullname: Sang, Hong organization: School of Information and Control Engineering, Liaoning Shihua University, College of Information Science and Engineering, Northeastern University – sequence: 2 givenname: Hong surname: Nie fullname: Nie, Hong email: hongnie_001@163.com organization: School of Sciences, Liaoning Shihua University |
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Cites_doi | 10.1109/TAC.2015.2449031 10.1016/j.nonrwa.2010.01.015 10.1016/S0960-0779(02)00585-4 10.1016/j.automatica.2004.12.011 10.1016/S0370-1573(02)00137-0 10.1016/j.chaos.2003.10.018 10.1016/j.physleta.2009.07.081 10.1109/TCST.2010.2050320 10.1016/j.cnsns.2008.10.006 10.1080/00207170410001703232 10.1007/s11071-013-1084-4 10.1049/iet-cta:20070100 10.1016/j.neucom.2016.10.020 10.1016/j.isatra.2014.09.007 10.1016/j.neucom.2015.09.007 10.1016/j.physleta.2010.02.069 10.1007/s11071-011-9987-4 10.1016/j.cam.2006.12.003 10.1016/j.automatica.2006.05.007 10.1109/TNNLS.2014.2383174 10.1016/S0016-0032(01)00030-8 10.1137/1.9781611970777 10.1109/TNN.2010.2050904 10.1016/j.jfranklin.2016.02.006 10.1016/j.jfranklin.2017.05.030 10.1016/j.chaos.2007.08.047 10.1016/j.chaos.2006.05.058 10.1103/PhysRevLett.64.821 10.1016/j.physa.2008.02.010 10.1109/TNNLS.2013.2251000 |
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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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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 |
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