Movatterモバイル変換


[0]ホーム

URL:


Skip to main content

Advertisement

Springer Nature Link
Log in

H\(_{2}\)/H\(_{\infty }\) Principle in Discrete-Time Virtual Actuator Design

  • Conference paper
  • First Online:

Part of the book series:Advances in Intelligent Systems and Computing ((AISC,volume 635))

Included in the following conference series:

  • 1281Accesses

Abstract

The joined H\(_{2}\)/H\(_{\infty }\) norm approach to virtual actuators design, intended to linear discrete-time systems, is presented in the paper. Using the joined norm principle, new conditions for virtual actuators design are formulated in terms of linear matrix inequalities. Related to the static output control under influence of single actuator faults, an example is presented to highlight the benefit of the proposed framework.

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

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 17159
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 21449
Price includes VAT (Japan)
  • 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

Similar content being viewed by others

References

  1. Alwi, H., Edwards, C., Tan, C.P.: Fault Detection and Fault-Tolerant Control Using Sliding Modes. Springer, London (2011)

    Book MATH  Google Scholar 

  2. Antsaklis, P.J., Michel, A.N.: A Linear Systems Primer. Birkhäuser, Boston (2007)

    MATH  Google Scholar 

  3. Crusius, C.A.R., Trofino, A.: Sufficient LMI conditions for output feedback control problems. IEEE Tran. Autom. Control44(5), 1053–1057 (1999)

    Article MathSciNet MATH  Google Scholar 

  4. Filasová, A., Krokavec, D.: H\(_{\infty }\) control of discrete-time linear systems constrained in state by equality constraints. Int. J. Appl. Math. Comput. Sci.22(3), 551–560 (2012)

    Article MathSciNet MATH  Google Scholar 

  5. Francis, B.A.: A Course in H\(_{\infty }\) Control Theory. Springer, Berlin (1987)

    Book  Google Scholar 

  6. Krokavec, D., Filasová, A., Serbák, V.: FTC structures with virtual actuators and dynamic output controllers. IFAC-PapersOnLine48(21), 511–516 (2015)

    Article  Google Scholar 

  7. Krokavec, D., Filasová, A., Serbák, V., Liščinský, P.: Kowalczuk, Z. (ed.) H\(_{\infty }\) approach to virtual actuators design. In: Advanced and Intelligent Computations in Diagnosis and Control, pp. 209–212. Springer, Cham (2016)

    Google Scholar 

  8. Mahmoud, M.S., Xia, Y.: Analysis and Synthesis of Fault-Tolerant Control Systems. Wiley, Chichester (2014)

    Google Scholar 

  9. Noura, H., Theilliol, D., Ponsart, J.C., Chamseddine, A.: Fault-Tolerant Control Systems. Design and Practical Applications. Springer, London (2009)

    Book MATH  Google Scholar 

  10. Ogata, K.: Discrete-Time Control Systems. Prentice-Hall, Upper Saddle River (1995)

    Google Scholar 

  11. Skelton, R.E., Iwasaki, T., Grigoriadis, K.: A Unified Algebraic Approach to Linear Control Design. Taylor & Francis, London (1998)

    Google Scholar 

  12. Steffen, T.: Control Reconfiguration of Dynamical Systems. Linear Approaches and Structural Tests. Springer, Berlin (2005)

    Google Scholar 

Download references

Acknowledgments

The work presented in this paper was supported by VEGA, the Grant Agency of the Ministry of Education and the Academy of Science of Slovak Republic under Grant No. 1/0608/17. This support is very gratefully acknowledged.

Author information

Authors and Affiliations

  1. Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Košice, Slovakia

    Dušan Krokavec & Anna Filasová

Authors
  1. Dušan Krokavec

    You can also search for this author inPubMed Google Scholar

  2. Anna Filasová

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence toDušan Krokavec.

Editor information

Editors and Affiliations

  1. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Jan M. Kościelny

  2. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Michał Syfert

  3. Faculty of Mechatronics, Institute of Automatic Control and Robotics, Warsaw University of Technology, Warsaw, Poland

    Anna Sztyber

Rights and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Krokavec, D., Filasová, A. (2018). H\(_{2}\)/H\(_{\infty }\) Principle in Discrete-Time Virtual Actuator Design. In: Kościelny, J., Syfert, M., Sztyber, A. (eds) Advanced Solutions in Diagnostics and Fault Tolerant Control. DPS 2017. Advances in Intelligent Systems and Computing, vol 635. Springer, Cham. https://doi.org/10.1007/978-3-319-64474-5_4

Download citation

Publish with us

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 17159
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 21449
Price includes VAT (Japan)
  • 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


[8]ページ先頭

©2009-2025 Movatter.jp