Skip to main content

Robust H Filtering for Uncertain Switched Systems Under Asynchronous

  • Conference paper
  • First Online:
Mechatronics and Automatic Control Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 237))

  • 1442 Accesses

Abstract

This paper investigated the problem of robust \( {{\mathrm{ H}}_{\infty }} \) filtering for uncertain switched systems with asynchronous switching and average dwell time. The asynchronous switching concerned in this paper represents that the switching instants of the presented controllers are lag behind those of the considered subsystems. Based on the Lyapunov function approach and average dwell time technique, sufficient conditions of the robust \( {{\mathrm{ H}}_{\infty }} \) filter are derived. Finally, an example is also given to illustrate the advantages and effectiveness of the theoretical results.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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. Elsayed A, Grimble M (1989) A new approach to the H design of optimal digital linear filters. IMA J Math Control Inf 6(2):233–251

    Article  MathSciNet  MATH  Google Scholar 

  2. Karimi H, Zapateiro M, Luo N (2010) A linear matrix inequality approach to robust fault detection filter design of linear systems with mixed time-varying delays and nonlinear perturbations. J Frankl Inst 347(6):957–973

    Article  MathSciNet  MATH  Google Scholar 

  3. Liu J, Hu S, Tian E (2011) A novel method of H filter design for time-varying delay systems. Int J Innov Comput, Inf Control 7(3):1299–1310

    Google Scholar 

  4. Xu S, Chen T (2004) An LMI approach to the H filter design for uncertain systems with distributed delays. IEEE Trans Circuit Syst 51(4):195–201

    Article  Google Scholar 

  5. Yue D, Han Q, Peng C (2004) State feedback controller design of networked control systems. IEEE Trans Circuit Syst 51(11):640–644

    Article  Google Scholar 

  6. Yue D, Han Q, Lam J (2005) Network-based robust H control of systems with uncertainty. Automatica 41(6):999–10007

    Article  MathSciNet  MATH  Google Scholar 

  7. Xiang Z, Wang R (2009) Robust stabilization of switched nonlinear systems with time-varying delays under asynchronous switching. Proc Inst Mech Eng, Part I: J Syst Control Eng 223:1111–1128

    Article  Google Scholar 

  8. Zhang L, Shi P (2009) Stability, L2-gain and asynchronous control of discrete-time switched systems with average dwell time. IEEE Trans Autom Control 54:2193–2200

    Article  Google Scholar 

  9. Zhang L, Gao H (2010) Asynchronously switched control of switched linear systems with average dwell time. Automatica 46(5):953–958

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to give thankful to referees for their valuable suggestions and comments. This work was supported by the Fundamental Research Funds for the Scientific Research Fund for Ph.D. Talents Introduction of CAFUC (Grant No. J2010-46).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jun Cheng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Li, G., Cheng, J. (2014). Robust H Filtering for Uncertain Switched Systems Under Asynchronous. In: Wang, W. (eds) Mechatronics and Automatic Control Systems. Lecture Notes in Electrical Engineering, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-01273-5_72

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01273-5_72

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01272-8

  • Online ISBN: 978-3-319-01273-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics