Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Multi-sensor Optimal H ∞  Fusion Filters for a Class of Nonlinear Intelligent Systems with Time Delays

  • Conference paper
Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

Included in the following conference series:

  • 1487 Accesses

Abstract

This paper proposes a nonlinear system model, which is composed of a linear time-delay dynamic system and a bounded static nonlinear operator. Base on the H ∞  performance analysis of this nonlinear model, H ∞  fusion filter is designed for this model with multiple sensors to guarantee the asymptotic stability of the fusion error system and reduce the effect of the noise signals on the filtering error to a lowest level. The parameters of the filter are obtained by solving the eigenvalue problem (EVP). Some delayed (or non-delayed) intelligent systems composed of neural networks or Takagi and Sugeno (T-S) fuzzy models can be transformed into this nonlinear model, then the multi-sensor optimal H ∞  fusion filters for them are designed.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tseng, C.S.: Robust Fuzzy Filter Design for a Class of Nonlinear Stochastic Systems. IEEE Trans. on Fuzzy systems 15, 261–274 (2007)

    Article  Google Scholar 

  2. Yung, C.F., Li, Y.F., Sheu, H.T.: H ∞ Filtering and Solution Bound for Non-linear Systems. Int. J. Control 74, 565–570 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  3. Burl, J.B.: H ∞  Estimation for Nonlinear Systems. IEEE Signal Processing Letters 5, 199–202 (1998)

    Article  Google Scholar 

  4. Xu, S.: Robust Filtering for a Class of Discrete-Time Uncertain Nonlinear Systems with State Delay. IEEE Trans. on Circuits and Systems-I 49, 1853–1859 (2002)

    Article  Google Scholar 

  5. Gao, H., Meng, X., Chen, T.: New Design of Robust H( Filter for 2-D System. IEEE Signal Processing Letters 18, 217–220 (2008)

    Google Scholar 

  6. Shaked, U.: H ∞  Minimum Error State Estimation of Linear Stationary Processes. IEEE Trans. Automat. Control 35, 554–558 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  7. Sun, H., Liu, R., Wen, C.: Design and Performance Analysis of Robust Fusion Filters for a Class of Continuous Uncertain Dynamic Systems. In: Proc. Of the 26th Chinese Control Conference, pp. 301–305. Beihang University Press, Beijing (2007)

    Google Scholar 

  8. Li, Q., Wang, H., Zhang, W., Liu, X.: H ∞  Fusion Filter Design in Multi-sensor Fusion System with State Time-Delays. In: IEEEInternational Conference on Automation and Logistics, pp. 2784–2789. IEEE Press, New York (2007)

    Google Scholar 

  9. Wang, J., Xue, A.: Robust Guaranteed Cost Data Fusion Approach for Uncertain Systems. In: Fifth World Congress on Intelligent Control and Automation (WCICA), pp. 3064–3066. Zhejiang University Press, Hangzhou (2004)

    Google Scholar 

  10. Liu, M.: Delayed Standard Neural Network Models for Control Systems. IEEE Trans. on Neural Networks 18, 1376–1391 (2007)

    Article  Google Scholar 

  11. Liu, M., Wang, H.F.: A Novel Stabilizing Control for Neural Nonlinear Systems with Time Delays by State and Dynamic Output Feedback. International Journal of Control, Automation, and Systems 6, 24–34 (2008)

    Google Scholar 

  12. Liu, M., Zhang, J.: Exponential Synchronization of General Chaotic Delayed Neural Networks via Hybrid Feedback. Journal of Zhejiang University SCIENCE A 9, 262–270 (2008)

    Article  MATH  Google Scholar 

  13. Boyd, S.P., Ghaoui, L.E., Feron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia (1994)

    Book  MATH  Google Scholar 

  14. Gahinet, P., Nemirovski, A., Laub, A.J., Chilali, M.: LMI Control Toolbox- for Use with Matlab. The MATH Works, Inc., Natick (1995)

    Google Scholar 

  15. Gao, H., Wang, C.: A Delay-Dependent Approach to Robust H ∞  Filtering for Uncertain Discrete-Time State-Delayed Systems. IEEE Trans. on Signal Processing 52, 1631–1640 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  16. Wang, Z., Yang, F., Ho, D.W.C., Liu, X.: Robust H ∞  Filtering for Stochastic Time-Delay Systems with Missing Measurements. IEEE Trans. on Signal Processing 54, 2579–2587 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China

    Meiqin Liu & Senlin Zhang

  2. Department of Electrical Engineering, University of New Orleans, New Orleans, LA 70148, USA

    Meiqin Liu & Meikang Qiu

Authors
  1. Meiqin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Meikang Qiu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Senlin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, M., Qiu, M., Zhang, S. (2009). Multi-sensor Optimal H ∞  Fusion Filters for a Class of Nonlinear Intelligent Systems with Time Delays. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01507-6_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation