Modeling, Analysis And Consensus Control Of Wireless Sensor Networks Under Sleeping-Awaking Method

Wireless sensor network(WSN) is widely used in different fields, it has broad ap-plication prospects, consensus control is one of its supporting technologies, and also is the hot research field. In recent years, many researchers have devoted themselves into the field and many exciting results have been obtained. However, the gotten results are based on the networks which possess the strong connectivity and the fixed node set, and these are not consistent with real applications which WSN possesses the weakly connectivity when the system runs the sleeping-awaking method(SAM), and these also are not consistent with the varying node set which some nodes quit from the network for the energy is exhausted or some new nodes join the network. Depending on the applications of WSN, this thesis analyzes the formulated models under the given SAM and the consensus protocols. In the meanwhile, the related consensus investigations are provided accordingly. The main research contents of the thesis are listed as follows.1. For a WSN which possesses a large number of nodes and system often en-counters with data collision and data jams, the leader-following topology and SAM are employed, and system is controlled via the leader nodes directly. Applying SAM to the cliques (complete subgraphs) of followers or leaders respectively, the varying followers fixed leaders and the varying leaders fixed followers topologies are gotten, respectively. According to the varying topologies and the fixed leaders fixed followers topology, the related consensus protocols are designed. Based on the analysis of the co-variance, all nodes achieve the quasi-average mean square consensus, in the meanwhile, several consensus criteria of sufficient and necessary are obtained. In this part, SAM is implemented for some complete subgraphs, and the related consensus protocols are provided.2. For a WSN which possesses a large number of sensors and system runs in multiple varying time delays and noise disturbance surroundings, a type of sleeping-awaking method (SSAM) is provided. SSAM refers to the maximal degree node and its neighbors fall in the sleep or be awaken simultaneously, other nodes take the sleep or be waken accordingly, where SSAM is taken to deal with the data jams. Under SSAM, the distributed consensus protocol is proposed, then, the Markov switching WSN is obtained. Based on the theory of the p-th moment exponential stability, the analysis shows that under the designed protocol, system keeps synchronization with the aim state, meanwhile, several criteria are gotten. In this part, SSAM is offered for MDN and its neighbors, and the related consensus protocol can overcome the disturbances that caused by multiple varying time delays and noise.3. Under SSAM, the adaptive target tracking problem is considered. It supposes that there exist noise disturbances in the communication among node-to-node and the signal randomly getting from the target. And among the different topologies, system may contain the different multiple varying time delays. In such an environment, an adaptive target tracking protocol is designed, and the distributed adaptive target tracking filter is obtained. The analysis of p-th moment exponential stability shows that under the designed filter, all nodes keep the synchronized with the target directly or indirectly. It is worth to note that the adaptive consensus controller which the tracking accuracy can be assigned firstly.4. For a WSN which runs SAM and possesses the increasing node set, the scale free WSN is proposed. For scale free WSN, a type of data fusion consensus protocol is designed. Based on the analysis of inequalities and the partial sequences, under the designed protocol, all nodes achieve the local consensus, when the network is the probability connected, all nodes achieve the global consensus. All gotten consensus criteria are free from the network scale. It should point out that scale free WSN is offered here, and the consensus protocol is independent to the varying scale.5. Consensus problem of the varying scale WSN is studied, where the scale is in-creasing or decreasing due to some new nodes joining or some invalid nodes withdraw-ing. For the varying scale WSN, several concepts such as the local limited intersection connected and the global limited intersection connected are provided. According to the analysis of the systematic error, WSN achieves the component consensus if the network is the local limited intersection connected, if WSN is the global limited inter-section connected, WSN achieves the global consensus. In the meanwhile, the widely consensus regions are proposed. It should be noticed that the varying scale WSN is proposed here, and the related consensus criteria are provided.