Hu Jun, Wang Zidong, Liu Guo-Ping, Zhang Hongxu
IEEE Trans Neural Netw Learn Syst. 2020 Jun;31(6):1955-1967. doi: 10.1109/TNNLS.2019.2927554. Epub 2019 Aug 1.
In this paper, a new recursive state estimation problem is discussed for a class of discrete time-varying stochastic complex networks with uncertain inner coupling and signal quantization under the error-variance constraints. The coupling strengths are allowed to be varying within certain intervals, and the measurement signals are subject to the quantization effects before being transmitted to the remote estimator. The focus of the conducted topic is on the design of a variance-constrained state estimation algorithm with the aim to ensure a locally minimized upper bound on the estimation error covariance at every sampling instant. Furthermore, the boundedness of the resulting estimation error is analyzed, and a sufficient criterion is established to ensure the desired exponential boundedness of the state estimation error in the mean square sense. Finally, some simulations are proposed with comparisons to illustrate the validity of the newly developed variance-constrained estimation method.
本文针对一类具有不确定内部耦合和信号量化的离散时变随机复杂网络,在误差方差约束下讨论了一种新的递归状态估计问题。耦合强度允许在一定区间内变化,测量信号在传输到远程估计器之前会受到量化影响。所开展主题的重点在于设计一种方差约束状态估计算法,旨在确保在每个采样时刻估计误差协方差的局部最小上界。此外,分析了所得估计误差的有界性,并建立了一个充分准则以确保状态估计误差在均方意义下具有期望的指数有界性。最后,提出了一些仿真并进行比较,以说明新开发的方差约束估计方法的有效性。