Skip to main content

\(\mathscr {H}_{\infty }\) Filtering

  • Chapter
  • First Online:
Analysis and Synthesis for Discrete-Time Switched Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 244))

  • 293 Accesses

Abstract

In this chapter, \(\mathscr {H}_{\infty }\) filter for discrete-time switched linear systems is investigated under MDADT switching. The designed filters are both mode-dependent and QTD, which can guarantee the resulting filtering error systems are GUAS with a weighted \(\ell _{2}\)-gain performance.

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
Hardcover Book
USD 109.99
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. Du, D., Jiang, B., Shi, P., Zhou, S.: \(\mathscr {H}_{\infty }\) filtering of discrete-time switched systems with state delays via switched Lyapunov function approach. IEEE Trans. Autom. Control 52(8), 1520–1525 (2007)

    Article  MathSciNet  Google Scholar 

  2. Hu, K., Yuan, J.: Improved robust \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched systems. IET Contr. Theory Appl. 3(3), 315–324 (2009)

    Article  MathSciNet  Google Scholar 

  3. Tian, E., Wong, W.K., Yue, D., Yang, T.: \(\mathscr {H}_{\infty }\) filtering for discrete-time switched systems with known sojourn probabilities. IEEE Trans. Autom. Control 60(9), 2446–2451 (2015)

    Article  MathSciNet  Google Scholar 

  4. Xiang, W., Xiao, J., Iqbal, M.N.: \(\mathscr {H}_{\infty }\) filtering for short-time switched discrete-time linear systems. Circuits Syst. Signal Process. 31(6), 1927–1949 (2012)

    Article  MathSciNet  Google Scholar 

  5. Xiao, X., Zhou, L., Lu, G.: Event-triggered \(\mathscr {H}_{\infty }\) filtering of continuous-time switched linear systems. Signal Process. 141, 343–349 (2017)

    Article  Google Scholar 

  6. Zhang, L., Boukas, E.K., Shi, P.: Exponential \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched linear systems with average dwell time: A \(\mu \)-dependent approach. Int. J. Robust Nonlinear Control 18(11), 1188–1207 (2008)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhongyang Fei .

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Fei, Z., Shi, S., Shi, P. (2020). \(\mathscr {H}_{\infty }\) Filtering. In: Analysis and Synthesis for Discrete-Time Switched Systems. Studies in Systems, Decision and Control, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-030-25812-2_5

Download citation

Publish with us

Policies and ethics