随机时延复杂动态网络的容错同步
发布时间：2019-06-19 02:35
【摘要】：随着计算机及互联网络技术的快速发展,复杂网络在现代生活中有许多实际应用,如智能电网、通信网、神经网络等等,而同步化作为复杂动态网络最重要的集群行为,广泛存在于物理、生物、通信等领域,在过去几十年间复杂动态网络的同步控制成为了国内外研究的热点。而现实复杂动态网络不可能是理想型的,比如网络节点间可能存在着传输时延,复杂网络自身拓扑结构可能存在耦合故障等等,这些不利因素对复杂动态网络同步性能的影响是不可忽略的,所以必须建立与实际情况最符合的复杂动态网络模型,并且采用最有效的控制策略实现对故障复杂动态网络的同步控制。因此,本文利用容错控制思想致力于研究带有不同类型故障的随机时延复杂动态网络的同步控制问题,这对复杂动态网络研究成果的实际应用具有重要意义,本文主要研究内容如下:一、针对随机时延复杂动态网络,考虑网络节点间的耦合故障,采用容错控制思想设计容错控制器,基于Lyapunov稳定性理论和随机分析理论得到容错控制器存在准则,最终控制网络节点状态渐近同步于平衡点。二、针对带有网络耦合故障的随机时延复杂动态网络,通过外加控制器来消除随机时延和网络耦合故障的不利影响以此实现网络的同步,而外加控制器可能发生故障从而导致网络再次失去同步。本文利用容错控制理论和Lyapunov稳定性理论改进同步控制器得到新的容错控制器,使得带有网络耦合故障及执行器故障的随机时延复杂动态网络再次达到同步。三、针对带有网络耦合故障的大规模随机时延复杂动态网络,由于节点数目众多,通过对所有节点施加控制器进行同步控制不易实现,故采用牵制控制和容错控制相结合的策略,基于Lyapunov稳定性理论设计出容错控制器,并得到施加于网络节点的最少容错控制器数量计算准则,最终实现整体网络的牵制容错控制同步。
[Abstract]:With the rapid development of computer and Internet technology, complex networks have many practical applications in modern life, such as smart grid, communication network, neural network and so on. Synchronization, as the most important cluster behavior of complex dynamic networks, widely exists in physics, biology, communication and other fields. In the past few decades, the synchronization control of complex dynamic networks has become a hot research topic at home and abroad. However, the real complex dynamic network can not be ideal, such as there may be transmission delay between network nodes, there may be coupling faults in the topology of complex network itself, and so on. The influence of these unfavorable factors on the synchronization performance of complex dynamic network can not be ignored, so it is necessary to establish a complex dynamic network model which is most consistent with the actual situation. The most effective control strategy is used to realize the synchronous control of complex dynamic network. Therefore, this paper uses the idea of fault-tolerant control to study the synchronization control of complex dynamic networks with different types of faults, which is of great significance to the practical application of the research results of complex dynamic networks. The main contents of this paper are as follows: first, for the complex dynamic networks with random delays, considering the coupling faults between network nodes, the fault-tolerant control idea is used to design the fault-tolerant controller. Based on Lyapunov stability theory and stochastic analysis theory, the existence criterion of fault-tolerant controller is obtained, and the state of the control network nodes is asymptotically synchronized with the equilibrium point. Secondly, for the complex dynamic network with random delay with network coupling fault, the synchronization of the network is realized by eliminating the adverse effects of random delay and network coupling fault by adding controller, while the external controller may fail and cause the network to lose synchronization again. In this paper, the fault-tolerant control theory and Lyapunov stability theory are used to improve the synchronization controller to obtain a new fault-tolerant controller, which makes the random delay complex dynamic network with network coupling fault and actuator fault achieve synchronization again. Third, for large-scale random delay complex dynamic networks with network coupling faults, because of the large number of nodes, it is not easy to realize synchronous control by applying controllers to all nodes, so the fault-tolerant controller is designed based on Lyapunov stability theory, and the minimum number of fault-tolerant controllers applied to network nodes is obtained. Finally, the synchronization of fault-tolerant control in the whole network is realized.
【学位授予单位】：南京邮电大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP273
本文编号：2502001
[Abstract]:With the rapid development of computer and Internet technology, complex networks have many practical applications in modern life, such as smart grid, communication network, neural network and so on. Synchronization, as the most important cluster behavior of complex dynamic networks, widely exists in physics, biology, communication and other fields. In the past few decades, the synchronization control of complex dynamic networks has become a hot research topic at home and abroad. However, the real complex dynamic network can not be ideal, such as there may be transmission delay between network nodes, there may be coupling faults in the topology of complex network itself, and so on. The influence of these unfavorable factors on the synchronization performance of complex dynamic network can not be ignored, so it is necessary to establish a complex dynamic network model which is most consistent with the actual situation. The most effective control strategy is used to realize the synchronous control of complex dynamic network. Therefore, this paper uses the idea of fault-tolerant control to study the synchronization control of complex dynamic networks with different types of faults, which is of great significance to the practical application of the research results of complex dynamic networks. The main contents of this paper are as follows: first, for the complex dynamic networks with random delays, considering the coupling faults between network nodes, the fault-tolerant control idea is used to design the fault-tolerant controller. Based on Lyapunov stability theory and stochastic analysis theory, the existence criterion of fault-tolerant controller is obtained, and the state of the control network nodes is asymptotically synchronized with the equilibrium point. Secondly, for the complex dynamic network with random delay with network coupling fault, the synchronization of the network is realized by eliminating the adverse effects of random delay and network coupling fault by adding controller, while the external controller may fail and cause the network to lose synchronization again. In this paper, the fault-tolerant control theory and Lyapunov stability theory are used to improve the synchronization controller to obtain a new fault-tolerant controller, which makes the random delay complex dynamic network with network coupling fault and actuator fault achieve synchronization again. Third, for large-scale random delay complex dynamic networks with network coupling faults, because of the large number of nodes, it is not easy to realize synchronous control by applying controllers to all nodes, so the fault-tolerant controller is designed based on Lyapunov stability theory, and the minimum number of fault-tolerant controllers applied to network nodes is obtained. Finally, the synchronization of fault-tolerant control in the whole network is realized.
【学位授予单位】：南京邮电大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TP273
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