该文针对3维无线传感器网络(3D-WSN)需兼顾能耗与鲁棒性的问题,建立了能耗鲁棒性权衡模型,利用Lyapunov稳定性理论证明了稳定平衡解的存在.进而提出了一种基于该模型的拓扑控制算法(TCA-TM),获得了3维无线传感器网络的优化拓扑.实验结果表明,该拓扑结构不仅能够满足网络鲁棒性要求,还能有效地均衡网络能耗,延长网络生命期.%Considering the issue of energy consumption and robustness in three-Dimensional Wireless Sensor Networks (3D-WSN), this paper builds an energy consumption and robustness trade-off model, and proves that the model has a stable equilibrium solution with the Lyapunov stability theory, then a Topology Control Algorithm based on the Trade-off Model (TCA-TM) is proposed, the optimal topology of wireless sensor networks of 3D spatial distribution is obtained. Simulation analysis illustrates TCA-TM topology can meet the robustness requirement of networks, balance energy consumption and prolong the lifetime of networks effectively.
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