Skip to main content

The inversion method and applications

  • Part I Control System Design For (d1, ..., dp)-Forward Time-Shift Right Invertible Systems
  • Chapter
  • First Online:
Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 205))

  • 276 Accesses

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

Notes and References

  1. Grizzle J.W. Local input-output decoupling of discrete-time nonlinear systems. Int. J. Contr., 1986, v. 43, 1517–1530.

    Article  MATH  MathSciNet  Google Scholar 

  2. Kotta Ü. Decoupling of discrete-time nonlinear systems by state feedback. Prepr. of AFCET Congress „Automatique 85“. Toulouse, 1985.

    Google Scholar 

  3. Kotta Ü. The matching of a prespecified linear input-output behaviour in a discrete time nonlinear system. Prepr. of 7th Int. Conf. on Control Systems and Computer Sci., Bucharest, 1987.

    Google Scholar 

  4. Kotta Ü. Model matching of nonlinear discrete time systems. Prepr. of 1st Int. Conf. on Industrial and Appl. Mathematics. Paris, 1987.

    Google Scholar 

  5. Kotta Ü. Discrete-time linear-analytic system linearization and decoupling via application of right inverse system. Proc. Estonian Acad. Sci. Phys. Math., 1988, v. 37, 257–262.

    MATH  MathSciNet  Google Scholar 

  6. Kotta Ü. Approximate input-output linearization of discrete-time nonlinear systems. Proc. Estonian Acad. Sci. Phys. Math., 1989, v. 38, 460–462.

    MATH  MathSciNet  Google Scholar 

  7. Kotta Ü. Model matching of linear-analytic discrete time systems via dynamic state feedback. Proc. Estonian Acad. Sci. Phys. Math., 1990, v. 39, 236–246.

    MATH  MathSciNet  Google Scholar 

  8. Kotta Ü. Model matching of nonlinear single-input single-output discrete-time systems: formal and local solutions. Proc. Estonian Acad. Sci. Phys. Math., 1991, v.40, 89–98.

    MATH  MathSciNet  Google Scholar 

  9. Kotta Ü. Model matching of nonlinear discrete-time systems via dynamic state feedback. Proc. Estonian Acad. Sci. Phys. Math., 1992, v. 41, 109–117.

    MATH  MathSciNet  Google Scholar 

  10. Nijmeijer H. Local (dynamic) input-output decoupling of discrete-time nonlinear systems. IMA J. of Mathematical Control and Information, 1987, v. 4, 237–250.

    Article  MATH  MathSciNet  Google Scholar 

  11. Monaco S., and D. Normand-Cyrot. The immersion under feedback of a multidimensional discrete-time non-linear system into a linear system. Int. J. Control, 1983, v. 38, 245–261.

    Article  MATH  Google Scholar 

  12. Monaco S., and D.Normand-Cyrot. Formal power series and input-output linearization of nonlinear discrete-time systems. Proc. 22nd IEEE Conf. on Decision and Control, San Antonio, 1883, 665–670.

    Google Scholar 

  13. Monaco S., and D. Normand-Cyrot. Sur la commande non interactive des systèmes non linéaires en temps discrets. Lect. Notes in Contr. and Inf. Systems, 1984, v. 63, 364–377.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag London Limited

About this chapter

Cite this chapter

Kotta, Ü. (1995). The inversion method and applications. In: Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems. Lecture Notes in Control and Information Sciences, vol 205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19966-7_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-19966-7_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19966-3

  • Online ISBN: 978-3-540-39376-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics