Skip to main content
SpringerLink
Log in

Distributed fusion robust estimators for multisensor networked singular control system with uncertain-variance correlated noises and missing measurement

  • Published:
Computational and Applied Mathematics Aims and scope Submit manuscript

Abstract

In this paper, a distributed fusion robust estimation algorithm for uncertain multisensor networked singular control system is studied. In the considered system, there exist missing measurement, uncertain noises variance, and correlated measurement noises. First, this singular system with missing measurement is transformed into a reduced-order standard system only with uncertain-variance fictitious noises, based on the singular value decomposition (SVD) method and the de-randomization method. Then, using the minimax robust estimation principle, the robust local estimators of the reduced-order state are presented. Further, the local and distribution fusion estimators of the original singular system are presented based on the distribution fusion criterion, according to the relation of original state and reduced-order state. And the robustness of the local and fusion estimators is presented based on the Lyapunov equation method and nonnegative definite matrix decomposition method. A simulation example of a dynamic system verifies the effectiveness of the proposed results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data availability statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

References

  • Bessaoudi T, Ben Hmida F (2018) Recursive five-step filter for state and fault estimation of linear descriptor stochastic systems with unknown disturbances. J Circ Syst Comput 27(6):1850083

    Article  Google Scholar 

  • Bessaoudi T, Ben Hmida F, Hsieh CS (2017) Robust state and fault estimation for linear descriptor stochastic systems with disturbances: a direct current motor application. IET Control Theory Appl 11(5):601–610

    Article  MathSciNet  Google Scholar 

  • Chen D, Xu L, Du J (2016) Optimal filtering for systems with finite-step autocorrelated process noises, random one-step sensor delay and missing measurements. Commun Nonlinear Sci Numer Simul 32:211–224

    Article  MathSciNet  MATH  Google Scholar 

  • Deng ZL, Gao Y, Tao GL (2008) Reduced-order steady-state descriptor Kalman fuser weighted by block-diagonal matrices. Inf Fusion 9(2):300–309

    Article  Google Scholar 

  • Deng Z, Liu WQ, Wang XM, Yang CS (2019) Robust fusion estimation theory with applications plus. Harbin Institute of Technology Press, Harbin

    Google Scholar 

  • Dou YF, Ran CJ, Gao Y (2016) Weighted measurement fusion Kalman estimator for multisensor descriptor system. Int J Syst Sci 47(11):2722–2732

    Article  MathSciNet  MATH  Google Scholar 

  • Dou YF, Sun SL, Ran CJ (2017) Self-tuning full-order wmf Kalman filter for multisensor descriptor systems. IET Control Theory Appl 11(3):359–368

    Article  MathSciNet  Google Scholar 

  • Duan G-R (2013) Analysis and design of descriptor linear systems, Springer, New York

  • Feng J, Wang T, Guo J (2014) Recursive estimation for descriptor systems with multiple packet dropouts and correlated noises. Aerosp Sci Technol 32(1):200–211

    Article  Google Scholar 

  • Hsieh CS (2013) State estimation for descriptor systems via the unknown input filtering method. Automatica 49(5):1281–1286

    Article  MathSciNet  MATH  Google Scholar 

  • Ishihara JY, Terra MH (2008) Robust state prediction for descriptor systems. Automatica 44(8):2185–2190

    Article  MathSciNet  MATH  Google Scholar 

  • Ishihara JY, Terra MH, Campos J (2006) Robust Kalman filter for descriptor systems. IEEE Trans Autom Control 51(8):1354

    Article  MathSciNet  MATH  Google Scholar 

  • Lewis FL, Xie LX, Popa D (2008) Optimal and robust estimation, 2nd edn. CRC Press, New York

    MATH  Google Scholar 

  • Liu WT, Zheng JY, Dou YF, Ran CJ (2022) Robust fusion filter for multisensor descriptor system with uncertain-variance noises and packet dropout. Optim Control Appl Methods. https://doi.org/10.1002/oca.2896

    Article  MathSciNet  Google Scholar 

  • Lu X, Wang L, Wang H, Wang X (2016) Kalman filtering for delayed singular systems with multiplicative noise. IEEE/CAA J Autom Sin 3(1):51–58

    Article  MathSciNet  Google Scholar 

  • Ran CJ, Sun SL, Dou YF (2018) Wmf reduced-order robust estimators for multisensor descriptor systems. IET Control Theory Appl 12(16):2232–2244

    Article  MathSciNet  Google Scholar 

  • Shen H, Dou YF, Ran CJ (2022) Robust time-varying estimator for descriptor system with random one-step measurement delay. Optim Control Appl Methods 42(6):1775–1793

    Article  MathSciNet  MATH  Google Scholar 

  • Souza C, Barbosa KA, Fu M (2008) Robust filtering for uncertain linear discrete-time descriptor systems. Automatica 44(3):792–798

    Article  MathSciNet  MATH  Google Scholar 

  • Sun SL, Ma J (2007) Optimal filtering and smoothing for discrete-time stochastic singular systems. Signal Process 87(1):189–201

    Article  MATH  Google Scholar 

  • Tao G, Wang X, Liu W, Zhang J, Yu H (2021) Robust weighted measurement fusion Kalman filter for uncertain multi-sensor descriptor system with colored measurement noises In: 2021 40th Chinese Control Conference (CCC), pp 3275–3282

  • Wang X, Liu W, Deng Z (2017) Robust weighted fusion Kalman estimators for systems with multiplicative noises, missing measurements and uncertain-variance linearly correlated white noises. Aerosp Sci Technol 68:331–344

    Article  Google Scholar 

  • Xin W, Sun SL (2017) Optimal recursive estimation for networked descriptor systems with packet dropouts, multiplicative noises and correlated noises. Aerosp Sci Technol 63:41–53

    Article  Google Scholar 

  • Xu J, Xing S, Deng F (2019) Dissipative filtering for stochastic singular time-varying delay systems. IEEE Access 7:167 429-167 437

    Article  Google Scholar 

  • Yu X, Li J (2020) Optimal filtering and a smoothing algorithm for a singular system with a complex stochastic uncertain parameter matrix. IEEE Trans Circ Syst II Express Briefs 67(4):780–784

    Google Scholar 

  • Zheng JY, Dou YF (2021) Robust time-varying Kalman predictor for uncertain singular system with missing measurement. In: 2021 33rd Chinese Control and Decision Conference (CCDC), pp 5339–5344

  • Zheng JY, Ran CJ (2021) Robust steady-state Kalman filter for uncertain descriptor system with missing measurement and uncertain-variance correlated noises. In: 2021 33rd Chinese Control and Decision Conference (CCDC), pp 4435–4440

Download references

Acknowledgements

This work is supported by National Natural Science Foundation of China under Grant (61573131), 2020 Basic Scientific Research Project in Heilongjiang Province (2020-KYYWF-0999, 2021-KYYWF-0027). The authors would like to thank the reviewers, associate editor, and editor for their helpful and constructive comments.

Author information

Authors and Affiliations

  1. Department of Automatic, Heilongjiang University, Xuefu Street, Harbin, 150080, China

    Jiayi Zheng & Chenjian Ran

  2. Key Laboratory of Information Fusion Estimation and Detection, Heilongjiang Province, Xuefu Street, Harbin, 150080, China

    Chenjian Ran

Authors
  1. Jiayi Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chenjian Ran
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chenjian Ran.

Additional information

Communicated by Antonio José Silva Neto.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zheng, J., Ran, C. Distributed fusion robust estimators for multisensor networked singular control system with uncertain-variance correlated noises and missing measurement. Comp. Appl. Math. 42, 66 (2023). https://doi.org/10.1007/s40314-023-02202-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40314-023-02202-3

Keywords

Mathematics Subject Classification

Search

Navigation