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))

  • 303 Accesses

Abstract

In this chapter, \(\mathscr {H}_{\infty }\) filter for discrete-time switched linear systems is investigated with MDPDT switching. The designed filters are full order and mode-dependent, which can guarantee the closed-loop systems are GUAS with a non-weighted \(\ell _{2}\)-gain. Meanwhile, both time-scheduled and time-independent filters are designed, while the former filtering scheme can achieve less conservative disturbance attenuation performance.

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

Access this chapter

eBook
USD 16.99
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. Hu, K., Yuan, J.: Improved robust \(\mathscr {H}_{\infty }\) filtering for uncertain discrete-time switched systems. IET Control Theory Appl. 3(3), 315–324 (2009)

    Article  MathSciNet  Google Scholar 

  2. Wang, D., Wang, W., Shi, P.: Design on \(\mathscr {H}_{\infty }\) filtering for discrete-time switched delay systems. Int. J. Syst. Sci. 42(12), 1965–1973 (2011)

    Article  MathSciNet  Google Scholar 

  3. 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 

  4. Zhang, L., Shi, P.: \(\mathscr {H}_{\infty }\) filtering for a class of switched linear parameter varying systems. Int. J. Syst. Sci. 42(5), 781–788 (2011)

    Article  MathSciNet  Google Scholar 

  5. Zhang, L., Zhuang, S., Shi, P.: Non-weighted quasi-time-dependent \(\mathscr {H}_{\infty }\) filtering for switched linear systems with persistent dwell-time. Automatica 54, 201–209 (2015)

    Article  MathSciNet  Google Scholar 

  6. Zhu, K., Zhao, J., Liu, Y.: \(\mathscr {H}_{\infty }\) filtering for switched linear parameter-varying systems and its application to aero-engines. IET Control Theory Appl. 10(18), 2552–2558 (2016)

    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_11

Download citation

Publish with us

Policies and ethics