State Estimation for General Complex Dynamical Networks with Incompletely Measured Information

Estimating uncertain state variables of a general complex dynamical network with randomly incomplete measurements of transmitted output variables is investigated in this paper. The incomplete measurements, occurring randomly through the transmission of output variables, always cause the failure of t...

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Main Authors: Xinwei Wang, Guo-Ping Jiang, Xu Wu
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/20/1/5
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author Xinwei Wang
Guo-Ping Jiang
Xu Wu
author_facet Xinwei Wang
Guo-Ping Jiang
Xu Wu
author_sort Xinwei Wang
collection DOAJ
description Estimating uncertain state variables of a general complex dynamical network with randomly incomplete measurements of transmitted output variables is investigated in this paper. The incomplete measurements, occurring randomly through the transmission of output variables, always cause the failure of the state estimation process. Different from the existing methods, we propose a novel method to handle the incomplete measurements, which can perform well to balance the excessively deviated estimators under the influence of incomplete measurements. In particular, the proposed method has no special limitation on the node dynamics compared with many existing methods. By employing the Lyapunov stability theory along with the stochastic analysis method, sufficient criteria are deduced rigorously to ensure obtaining the proper estimator gains with known model parameters. Illustrative simulation for the complex dynamical network composed of chaotic nodes are given to show the validity and efficiency of the proposed method.
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spelling doaj.art-5d1a736d96ce473288ace4afccd6d1f32022-12-22T02:06:53ZengMDPI AGEntropy1099-43002017-12-01201510.3390/e20010005e20010005State Estimation for General Complex Dynamical Networks with Incompletely Measured InformationXinwei Wang0Guo-Ping Jiang1Xu Wu2College of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaCollege of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaCollege of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, ChinaEstimating uncertain state variables of a general complex dynamical network with randomly incomplete measurements of transmitted output variables is investigated in this paper. The incomplete measurements, occurring randomly through the transmission of output variables, always cause the failure of the state estimation process. Different from the existing methods, we propose a novel method to handle the incomplete measurements, which can perform well to balance the excessively deviated estimators under the influence of incomplete measurements. In particular, the proposed method has no special limitation on the node dynamics compared with many existing methods. By employing the Lyapunov stability theory along with the stochastic analysis method, sufficient criteria are deduced rigorously to ensure obtaining the proper estimator gains with known model parameters. Illustrative simulation for the complex dynamical network composed of chaotic nodes are given to show the validity and efficiency of the proposed method.https://www.mdpi.com/1099-4300/20/1/5state estimationcomplex dynamical networkincomplete measurements
spellingShingle Xinwei Wang
Guo-Ping Jiang
Xu Wu
State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
Entropy
state estimation
complex dynamical network
incomplete measurements
title State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
title_full State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
title_fullStr State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
title_full_unstemmed State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
title_short State Estimation for General Complex Dynamical Networks with Incompletely Measured Information
title_sort state estimation for general complex dynamical networks with incompletely measured information
topic state estimation
complex dynamical network
incomplete measurements
url https://www.mdpi.com/1099-4300/20/1/5
work_keys_str_mv AT xinweiwang stateestimationforgeneralcomplexdynamicalnetworkswithincompletelymeasuredinformation
AT guopingjiang stateestimationforgeneralcomplexdynamicalnetworkswithincompletelymeasuredinformation
AT xuwu stateestimationforgeneralcomplexdynamicalnetworkswithincompletelymeasuredinformation