【作者】 徐式蕴； 杨莹；

【Author】 Xu Shiyun1,Yang Ying1 1Peking University,Peking 100871,China

【机构】 北京大学；

【摘要】 通过研究一类由Lur’e结点系统构成的非线性动态网络同步中的鲁棒故障检测,本文将故障检测问题引入到复杂动态网络的同步问题中,并提出全局鲁棒H-/H∞同步的框架。在这种同步方式下,误差动态系统是全局渐进稳定的,并且外部噪声得到抑制;与此同时,网络对于可能发生的故障具有一定敏感性。保障网络全局鲁棒H-/H∞同步的充分条件以线性矩阵不等式形式给出。此外,故障敏感性指标H-可以通过一个凸优化算法进行优化。我们采用由Chua’s电路组成的网络模型作为数值算例来验证所得理论结果的有效性和可行性。更多还原

【Abstract】 This study introduces the fault detection issue into complex dynamical networks through concerning the robust fault detection within the synchronization of nonlinear dynamical networks composed by identical Lur’e node systems,and proposes the framework of global robust H-/H∞ synchronization.Under such synchronization scheme,the error dynamical system is globally asymptotically stable,the effect of external disturbances is suppressed,and at the same time,the network is sensitive to possible faults based on a mixed H-/H∞ performance.Sufficient conditions in terms of linear matrix inequalities(LMIs) are established to guarantee global robust H-/H∞ synchronization of the network.Furthermore,the fault sensitivity H-index can be optimized via a convex optimization algorithm.A network model composed of identical Chua’s circuits is adopted as a numerical example to demonstrate the effectiveness and applicability of the analytical results.更多还原