Sensor Selection for High-dimensional Swarm Systems Based on Observability Analysis

Qingkai Meng, M. Polycarpou
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Abstract

The location selection of sensors in large-scale swarm systems is a prerequisite for further design of mechanisms to monitor the system states. This paper considers the required number and location of the sensors in a large-scale swarm system so that the observability of the overall system is satisfied. Firstly, by extending observability theory for swarm systems, some necessary and/or sufficient observability conditions related to the node-dynamics, network topology, coupling mode and measured outputs are obtained. Secondly, based on the above observability conditions, an algorithm for deciding how many and where to place the sensors is designed, which can be implemented in a polynomial complexity time. Finally, an unmanned aerial vehicle (UAV) swarm system is employed to verify the effectiveness of the theoretical results.
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基于可观测性分析的高维群系统传感器选择
大规模群体系统中传感器的位置选择是进一步设计系统状态监测机制的前提。本文考虑了大型群系统中传感器的数量和位置要求,使整个系统的可观测性得到满足。首先,通过扩展群系统的可观测性理论,得到了与节点动力学、网络拓扑、耦合模式和测量输出相关的若干充分必要条件;其次,基于上述可观测性条件,设计了传感器数量和位置的确定算法,该算法可以在多项式复杂度时间内实现。最后,利用无人机(UAV)群系统验证了理论结果的有效性。
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