复杂网络的动态输出反馈容错同步控制

石宇静,胡昌敏

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (10) : 1701-1712.

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系统科学与数学 ›› 2020, Vol. 40 ›› Issue (10) : 1701-1712. DOI: 10.12341/jssms13974
论文

复杂网络的动态输出反馈容错同步控制

    石宇静,胡昌敏
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Dynamic Output Feedback Fault-Tolerant Synchronization Control for Complex Networks

    SHI Yujing, HU Changmin
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摘要

研究了具有执行器故障的复杂网络容错同步控制问题. 考虑了执行器的失效、 偏差以及两者同时存在的三种执行器故障情况, 利用线性矩阵不等式技术, 给出了动态输出反馈控制器的设计方法. 根据Lyapunov稳定性理论, 得到了在执行器不发生故障时, 同步误差渐近收敛;在执行器发生故障时, 同步误差范数有界的理论结果. 最后, 通过数值仿真验证了所提方法的可行性和有效性.

Abstract

In this paper, the problem of fault-tolerant synchronization control for complex networks with actuator faults is studied. First, the actuator faults in this paper consider partial loss of effectiveness, bias fault and both exist at the same time. Then, a dynamic output feedback controllers are designed by using LMI technique. Furthermore, via Lyapunov analysis theory, it is proved that the synchronization errors asymptotically converge to zero for the fault-free case, while the synchronization errors are all bounded for the faulty cases. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.

关键词

容错控制 / 复杂网络 / 动态输出反馈控制.

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石宇静 , 胡昌敏. 复杂网络的动态输出反馈容错同步控制. 系统科学与数学, 2020, 40(10): 1701-1712. https://doi.org/10.12341/jssms13974
SHI Yujing , HU Changmin. Dynamic Output Feedback Fault-Tolerant Synchronization Control for Complex Networks. Journal of Systems Science and Mathematical Sciences, 2020, 40(10): 1701-1712 https://doi.org/10.12341/jssms13974
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