Robust fault detection method in nonlinear dynamic network synchronization

Abstract

The invention provides a robust fault detection method in nonlinear dynamic network synchronization. The robust fault detection method comprises the following steps of: establishing a basic model of a nonlinear Lur'e system subjecting to input noise and fault; constructing a dynamic network model by taking the basic model as a node; determining global robust synchronism of the dynamic network; and performing fault detection on the global robust synchronism. In order to improve the reliability and the robustness of synchronization, the global robust H- / H infinity synchronization method is introduced into a type of nonlinear dynamic networks which probably have fault and external interference. The synchronization standard grows up from an LMI (Linear Matrix Inequality) technology, so that the system robust of each node of the network is synchronized, and the method is sensitive to the fault according to the H- / H infinity performance. Since external interference and system fault are considered respectively, the synchronization method provided here can be more practical than that in the previous literatures. In addition, the fault sensitivity H- index can be optimized through a convex optimum method. In addition, the detection method provided by the invention can also be applied to a random complex network.

Description

technical field [0001] The invention belongs to the robust fault detection of a control system, in particular to a robust fault detection method in the synchronization of a nonlinear dynamic network composed of the same Lur'e system. Background technique [0002] In daily life, many physical systems can be expressed as different network models, the nodes of which are the elements of the network, and the edges are the interactions between nodes [1]. As a typical large-scale system, complex dynamic networks have attracted more and more attention in recent years [2,3]. An interesting and important phenomenon in complex dynamic networks is the synchronization of all dynamic nodes, which is a typical collective phenomenon and basic motion in nature [4]-[9]. Among them, there is a kind of synchronization problem of a special network composed of nonlinear Lur'e systems, and the literature [10]-[12] studies its global synchronization conditions. The main reason is that in many fie...

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Problems solved by technology

[0004] Robust fault synchronization problem for nonlinear Lur'e systems coupled in the form of master-slave [24]. Similarly, in complex dynamic networks, since the dynamic equations of each node will inevitably be affected by faults, it is impossible to guarantee a permanent fault-free The synchronization process

Even so, there is still little research on the RFD problem of large nonlinear systems, and the concept of "fault" has hardly been introduced into the physical field of nonlinear dynamic network synchronization

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