發(fā)布時(shí)間：2019-06-19 02:35

【摘要】：隨著計(jì)算機(jī)及互聯(lián)網(wǎng)絡(luò)技術(shù)的快速發(fā)展,復(fù)雜網(wǎng)絡(luò)在現(xiàn)代生活中有許多實(shí)際應(yīng)用,如智能電網(wǎng)、通信網(wǎng)、神經(jīng)網(wǎng)絡(luò)等等,而同步化作為復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)最重要的集群行為,廣泛存在于物理、生物、通信等領(lǐng)域,在過去幾十年間復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)的同步控制成為了國(guó)內(nèi)外研究的熱點(diǎn)。而現(xiàn)實(shí)復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)不可能是理想型的,比如網(wǎng)絡(luò)節(jié)點(diǎn)間可能存在著傳輸時(shí)延,復(fù)雜網(wǎng)絡(luò)自身拓?fù)浣Y(jié)構(gòu)可能存在耦合故障等等,這些不利因素對(duì)復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)同步性能的影響是不可忽略的,所以必須建立與實(shí)際情況最符合的復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)模型,并且采用最有效的控制策略實(shí)現(xiàn)對(duì)故障復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)的同步控制。因此,本文利用容錯(cuò)控制思想致力于研究帶有不同類型故障的隨機(jī)時(shí)延復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)的同步控制問題,這對(duì)復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)研究成果的實(shí)際應(yīng)用具有重要意義,本文主要研究?jī)?nèi)容如下:一、針對(duì)隨機(jī)時(shí)延復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò),考慮網(wǎng)絡(luò)節(jié)點(diǎn)間的耦合故障,采用容錯(cuò)控制思想設(shè)計(jì)容錯(cuò)控制器,基于Lyapunov穩(wěn)定性理論和隨機(jī)分析理論得到容錯(cuò)控制器存在準(zhǔn)則,最終控制網(wǎng)絡(luò)節(jié)點(diǎn)狀態(tài)漸近同步于平衡點(diǎn)。二、針對(duì)帶有網(wǎng)絡(luò)耦合故障的隨機(jī)時(shí)延復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò),通過外加控制器來消除隨機(jī)時(shí)延和網(wǎng)絡(luò)耦合故障的不利影響以此實(shí)現(xiàn)網(wǎng)絡(luò)的同步,而外加控制器可能發(fā)生故障從而導(dǎo)致網(wǎng)絡(luò)再次失去同步。本文利用容錯(cuò)控制理論和Lyapunov穩(wěn)定性理論改進(jìn)同步控制器得到新的容錯(cuò)控制器,使得帶有網(wǎng)絡(luò)耦合故障及執(zhí)行器故障的隨機(jī)時(shí)延復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò)再次達(dá)到同步。三、針對(duì)帶有網(wǎng)絡(luò)耦合故障的大規(guī)模隨機(jī)時(shí)延復(fù)雜動(dòng)態(tài)網(wǎng)絡(luò),由于節(jié)點(diǎn)數(shù)目眾多,通過對(duì)所有節(jié)點(diǎn)施加控制器進(jìn)行同步控制不易實(shí)現(xiàn),故采用牽制控制和容錯(cuò)控制相結(jié)合的策略,基于Lyapunov穩(wěn)定性理論設(shè)計(jì)出容錯(cuò)控制器,并得到施加于網(wǎng)絡(luò)節(jié)點(diǎn)的最少容錯(cuò)控制器數(shù)量計(jì)算準(zhǔn)則,最終實(shí)現(xiàn)整體網(wǎng)絡(luò)的牽制容錯(cuò)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.
【學(xué)位授予單位】：南京郵電大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TP273

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本文編號(hào)：2502001