中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20509-020509.doi: 10.1088/1674-1056/20/2/020509

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Robust fault-sensitive synchronization of a class of nonlinear systems

徐式蕴1, 汤涌1, 孙华东1, 刘仙2, 杨莹3   

  1. (1)China Electric Power Research Institute, Beijing 100192, China; (2)Department of Automation, Yanshan University, Qinhuangdao 066004, China; (3)State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
  • 收稿日期:2010-01-17 修回日期:2010-11-02 出版日期:2011-02-15 发布日期:2011-02-15
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2010-01-17 Revised:2010-11-02 Online:2011-02-15 Published:2011-02-15
  • Supported by:
    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).

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摘要： 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.

关键词: nonlinear system, synchronization, disturbance rejection, fault detection

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.

Key words: nonlinear system, synchronization, disturbance rejection, fault detection

中图分类号:  (Synchronization; coupled oscillators)

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