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Robust fault-sensitive synchronization of a class of nonlinear systems |
Xu Shi-Yun(徐式蕴)a), Yang Ying(杨莹)b)†, Liu Xian(刘仙)c), Tang Yong(汤涌)a), and Sun Hua-Dong(孙华东)a) |
a China Electric Power Research Institute, Beijing 100192, China; b State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China; c Department of Automation, Yanshan University, Qinhuangdao 066004, China |
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Abstract Aiming at enhancing the quality as well as the reliability of synchronization, this paper is concerned with the fault detection issue within the synchronization process for a class of nonlinear systems in the existence of external disturbances. To handle such problems, the concept of robust fault-sensitive (RFS) synchronization is proposed, and a method of determining such a kind of synchronization is developed. Under the framework of RFS synchronization, the master and the slave systems are robustly synchronized, and at the same time, sensitive to possible faults based on a mixed H-/H∞ performance. The design of desired output feedback controller is realized by solving a linear matrix inequality, and the fault sensitivity H- index can be optimized via a convex optimization algorithm. A master-slave configuration composed of identical Chua's circuits is adopted as a numerical example to demonstrate the effectiveness and applicability of the analytical results.
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Received: 17 January 2010
Revised: 02 November 2010
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60874011), the National Science and Technology Infrastructure Program (Grant No. 2008BAA13B07), and the China Postdoctoral Science Foundation (Grant No. 20100480242). |
Cite this article:
Xu Shi-Yun(徐式蕴), Yang Ying(杨莹), Liu Xian(刘仙), Tang Yong(汤涌), and Sun Hua-Dong(孙华东) Robust fault-sensitive synchronization of a class of nonlinear systems 2011 Chin. Phys. B 20 020509
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