Skip to main content

Filtering for Stochastic Systems with Transmission Delays and Out-of-Order Packets

  • Conference paper
  • First Online:
Intelligent Computing, Networked Control, and Their Engineering Applications (ICSEE 2017, LSMS 2017)

Abstract

The robust filter is designed for a class of discrete-time stochastic systems with data random transmission delays and out-of-order packets in this paper. To drop packet disorders and improve system performance, the systems are modeled synthetically by utilizing the signal choosing scheme of logic zero-order-holder (ZOH). Moreover, a finite horizon robust Kalman-type filter is designed based on the established model, and minimizing error covariance matrices by the augmented state-space model are obtained from estimation variance constraints. And then, a linear delay compensation method is proposed to improve the filter performance by using the re-organized measurement. The simulation results are performed to show the effectiveness of the proposed method.

L. Liu—This work was supported by Natural Science Foundation of China (61403244, 61633016, 61472172), Key Project of Science and Technology Commission of Shanghai Municipality (15220710400, 15411953502), Key Technical of Key Industries of Shandong (2016CYJS03A02-1), and Key Research and Development project of Shandong (2016ZDJS06A05).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Reppa, V., Polycarpou, M.M., Panayiotou, C.G.: Distributed sensor fault diagnosis for a network of interconnected cyberphysical systems. IEEE Trans. Control Netw. Syst. 2(1), 11–23 (2015)

    Article  MathSciNet  Google Scholar 

  2. Yu, L., Jiang, T., Cao, Y.: Energy cost minimization for distributed internet data centers in smart microgrids considering power outages. IEEE Trans. Parallel Distrib. Syst. 26(1), 120–130 (2015)

    Article  Google Scholar 

  3. Ge, X., Han, Q.-L.: Distributed event-triggered \(H_\infty \) filtering over sensor networks with communication delays. Inf. Sci. 291, 128–142 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  4. Liu, Q., Wang, Z., He, X., Zhou, D.: Event-based recursive distributed filtering over wireless sensor networks. IEEE Trans. Autom. Control 60(9), 2470–2475 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  5. Sun, S., Wang, G.: Modeling and estimation for networked systems with multiple random transmission delays and packet losses. Syst. Control Lett. 73, 6–16 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hu, J., Wang, Z., Chen, D., Alsaadi, F.E.: Estimation, filtering and fusion for networked systems with network-induced phenomena: new progress and prospects. Inf. Fusion 31, 65–75 (2016)

    Article  Google Scholar 

  7. Peng, C., Han, Q.-L., Yue, D.: To transmit or not to transmit: a discrete event-triggered communication scheme for networked Takagi-Sugeno fuzzy systems. IEEE Trans. Fuzzy Syst. 21(1), 164–170 (2013)

    Article  Google Scholar 

  8. Wang, S., Fang, H., Tian, X.: Recursive estimation for nonlinear stochastic systems with multi-step transmission delays, multiple packet dropouts and correlated noises. Sig. Process. 115, 164–175 (2015)

    Article  Google Scholar 

  9. Chen, B., Zhang, W.-A., Yu, L.: Distributed fusion estimation with missing measurements, random transmission delays and packet dropouts. IEEE Trans. Autom. Control 59(7), 1961–1967 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  10. García-Ligero, M., Hermoso-Carazo, A., Linares-Pérez, J.: Distributed fusion estimation in networked systems with uncertain observations and Markovian random delays. Sig. Process. 106, 114–122 (2015)

    Article  Google Scholar 

  11. Rezaei, H., Esfanjani, R.M., Sedaaghi, M.H.: Improved robust finite-horizon Kalman filtering for uncertain networked time-varying systems. Inf. Sci. 293, 263–274 (2015)

    Article  Google Scholar 

  12. Qi, W., Zhang, P., Deng, Z.: Robust weighted fusion Kalman filters for multisensor time-varying systems with uncertain noise variances. Sig. Process. 99, 185–200 (2014)

    Article  MATH  Google Scholar 

  13. Wang, S., Fang, H., Tian, X.: Minimum variance estimation for linear uncertain systems with one-step correlated noises and incomplete measurements. Digit. Sig. Proc. 49, 126–136 (2016)

    Article  Google Scholar 

  14. Chen, B., Zhang, W.-A., Yu, L.: Distributed finite-horizon fusion Kalman filtering for bandwidth and energy constrained wireless sensor networks. IEEE Trans. Sig. Process. 62(4), 797–812 (2014)

    Article  MathSciNet  Google Scholar 

  15. Peng, C., Fei, M.-R., Tian, E., Guan, Y.P.: On hold or drop out-of-order packets in networked control systems. Inf. Sci. 268, 436–446 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  16. Zhang, X.-M., Han, Q.-L.: Network-based \(H_\infty \) filtering using a logic jumping-like trigger. Automatica 49(5), 1428–1435 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  17. Wang, H., Shi, P., Lim, C.C., Xue, Q.: Event-triggered control for networked Markovian jump systems. Int. J. Robust Nonlinear Control 25(17), 3422–3438 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  18. Tian, T., Sun, S., Li, N.: Multi-sensor information fusion estimators for stochastic uncertain systems with correlated noises. Inf. Fusion 27, 126–137 (2016)

    Article  Google Scholar 

  19. Feng, J., Wang, Z., Zeng, M.: Distributed weighted robust Kalman filter fusion for uncertain systems with autocorrelated and cross-correlated noises. Inf. Fusion 14(1), 78–86 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Li Liu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Liu, L., Yang, A., Zhou, W., Tao, Q., Tu, X., Yue, J. (2017). Filtering for Stochastic Systems with Transmission Delays and Out-of-Order Packets. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_50

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-6373-2_50

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6372-5

  • Online ISBN: 978-981-10-6373-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics