IEEE Trans Cybern. 2018 Jan;48(1):336-345. doi: 10.1109/TCYB.2016.2635122. Epub 2016 Dec 15.
This paper considers finite-time distributed state estimation for discrete-time nonlinear systems over sensor networks. The Round-Robin protocol is introduced to overcome the channel capacity constraint among sensor nodes, and the multiplicative noise is employed to model the channel fading. In order to improve the performance of the estimator under the situation, where the transmission resources are limited, fading channels with different stochastic properties are used in each round by allocating the resources. Sufficient conditions of the average stochastic finite-time boundedness and the average stochastic finite-time stability for the estimation error system are derived on the basis of the periodic system analysis method and Lyapunov approach, respectively. According to the linear matrix inequality approach, the estimator gains are designed. Finally, the effectiveness of the developed results are illustrated by a numerical example.
本文考虑了传感器网络中离散时间非线性系统的有限时间分布式状态估计。引入轮询协议来克服传感器节点之间的信道容量约束，并采用乘法噪声来建模信道衰落。为了在传输资源有限的情况下提高估计器的性能，在每一轮中通过分配资源使用具有不同随机特性的衰落信道。基于周期系统分析方法和 Lyapunov 方法，分别推导出了估计误差系统的平均随机有限时间有界性和平均随机有限时间稳定性的充分条件。根据线性矩阵不等式方法，设计了估计器增益。最后，通过数值示例说明了所提出结果的有效性。
