4.7 Article

A Partial-Node-Based Approach to State Estimation for Complex Networks With Sensor Saturations Under Random Access Protocol

Journal

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2020.3027252

Keywords

Complex networks (CNs); finite-horizon state estimation; partial-node-based (PNB) estimation; random access protocol (RAP); randomly occurring multiple delays; randomly occurring uncertainty; sensor saturations

Funding

  1. National Natural Science Foundation of China [61873148, 61873058, 61933007]
  2. Natural Science Foundation of Heilongjiang Province of China [F2018004]
  3. China Postdoctoral Science Foundation [2017M621242]
  4. PetroChina Innovation Foundation [2018D-5007-0302]
  5. Open Fund of the Key Laboratory for Metallurgical Equipment and Control of Ministry of Education in Wuhan University of Science and Technology of China [2018A01, MECOF2019B01, MECOF2019B02]
  6. Fundamental Research Funds for Provincial Undergraduate Universities of Heilongjiang Province of China [2019QNL-11]
  7. Guiding Science and Technology Plan Project of Daqing City of China [zd-2019-07]
  8. Alexander von Humboldt Foundation of Germany

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This article investigates the problem of robust finite-horizon state estimation for a class of time-varying complex networks under the random access protocol, providing sufficient conditions for the existence of H-infinity state estimators based on partial nodes and demonstrating the effectiveness of the proposed algorithm through a simulation example.
In this article, the robust finite-horizon state estimation problem is investigated for a class of time-varying complex networks (CNs) under the random access protocol (RAP) through available measurements from only a part of network nodes. The underlying CNs are subject to randomly occurring uncertainties, randomly occurring multiple delays, as well as sensor saturations. Several sequences of random variables are employed to characterize the random occurrences of parameter uncertainties and multiple delays. The RAP is adopted to orchestrate the data transmission at each time step based on a Markov chain. The aim of the addressed problem is to design a series of robust state estimators that make use of the available measurements from partial network nodes to estimate the network states, under the RAP and over a finite horizon, such that the estimation error dynamics achieves the prescribed H-infinity performance requirement. Sufficient conditions are provided for the existence of such time-varying partial-node- based H-infinity state estimators via stochastic analysis and matrix operations. The desired estimators are parameterized by solving certain recursive linear matrix inequalities. The effectiveness of the proposed state estimation algorithm is demonstrated via a simulation example.

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