A Distributed Optimization Scheme for State Estimation of Nonlinear Networks with Norm-bounded Uncertainties

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)2582-2589
Journal / PublicationIEEE Transactions on Automatic Control
Issue number5
Online published22 Jun 2021
Publication statusPublished - May 2022


This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach, the estimation problem is reformulated as an optimization problem, solving for a solution in a distributed way by utilizing a decoupling technique. Then, based on this solution, a class of estimators is designed to handle the system dynamics and constraints. A novel feature of this design lies in the unified modeling of uncertainties and nonlinearities, the decoupling of nodes, and the construction of recursive approximate covariance matrices for the optimization problem. Furthermore, the feasibility of the proposed estimators and the boundedness of the mean-square errors are ensured under a developed criterion, which is easier to check than some typical estimation strategies including the linear matrix inequalities-based and the variance-constrained ones. Finally, the effectiveness of the theoretical results is verified by a numerical simulation.

Research Area(s)

  • Complex networks, Couplings, Distributed state estimation, Estimation error, Optimization, Regularized least-squares approach, State estimation, Stochastic complex network, Time-varying systems, Uncertainty, Uncertainty and nonlinearity