Skip to main content

System inversion. Special case

  • 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))

  • 278 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. Albrech F., K.A. Grasse and N. Wax. Path controllability of linear input-output systems. IEEE Trans. Autom. Control, 1986, v. 31, 569–571.

    Article  Google Scholar 

  2. Baheti R.S., R.R. Mohler, H.A. Spang III. Second order correlation method for bilinear system identification. IEEE Trans. Autom. Control, 1980, v. 25, 1141–1146.

    Article  MATH  MathSciNet  Google Scholar 

  3. Brockett R.W. and M.D. Mesarovic. The reproducibility of multivariable systems. J. Math. Anal. Appl., 1965, v. 11, 548–563.

    Article  MATH  MathSciNet  Google Scholar 

  4. Grasse K.A. Sufficient conditions for the functional reproducibility of time-varying, input-output systems. SIAM J. Contr. and Optimiz., 1988, v. 26, 230–249.

    Article  MATH  MathSciNet  Google Scholar 

  5. Isidori A. Nonlinear Control Systems. Berlin, Springer-Verlag, 1989.

    Book  MATH  Google Scholar 

  6. Kotta Ü. On the inverse of a special class of MIMO bilinear systems. Proc. Estonian Acad. Sci. Math., Phys., 1983, v. 32, 323–326.

    MATH  MathSciNet  Google Scholar 

  7. Kotta Ü. Invertibility of bilinear discrete-time systems. Proc. of IFAC/IFORS Conf. on Control Science and Technology for Development. Beijing, 1985.

    Google Scholar 

  8. Kotta Ü. Inversion of discrete-time linear-analytic systems. Proc. Estonian Academy of Sci. Phys. Math., 1986, v. 35, 425–431.

    MathSciNet  Google Scholar 

  9. Kotta Ü. On the inverse of discrete-time linear-analytic system. Control-Theory and Advanced Technology, 1986, v. 2, 619–625.

    Google Scholar 

  10. Kotta Ü. Construction of inverse system for discrete time nonlinear systems (In Russian). Proc. Acad. Sci. of USSR. Technical Cybernetics, 1986, 159–162.

    Google Scholar 

  11. Kotta Ü. Right inverse of a discrete time non-linear system. Int. J. Control, 1990, v. 51, 1–9.

    Article  MATH  MathSciNet  Google Scholar 

  12. Kreindler E. and P.E. Sarachik. On the concepts of controllability and observability of linear systems. IEEE Trans. Autom. Control, 1964, v. 9, 129–136.

    Article  MathSciNet  Google Scholar 

  13. Monaco S. and D.Normand-Cyrot. Some remarks on the invertibility of non-linear discrete-time systems. Proc. American Control Conference, 1983, 229–245.

    Google Scholar 

  14. 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  MathSciNet  Google Scholar 

  15. Monaco S. and D.Normand-Cyrot. Minimum-phase nonlinear discrete-time systems and feedback stabilization. Proc. 26th IEEE Conf. on Desision and Control, Los Angeles, CA, 1987, 979–986.

    Google Scholar 

  16. Monaco S., D.Normand-Cyrot and T.Isola. Nonlinear decoupling in discrete time. Prepr. of 1st IFAC Symp. on Nonlinear Control Systems Design, Italy, Capri, 1989, 48–55.

    Google Scholar 

  17. 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 

  18. Nijmeijer H. On dynamic decoupling and dynamic path controllability in economic systems. Journal of Economic Dynamics and Control, 1989, v. 13, 21–39.

    Article  MATH  MathSciNet  Google Scholar 

  19. Passino K.M. Disturbance rejection in nonlinear systems: examples. IEE Proc. D., 1989, v. 136, 317–323.

    Article  MATH  Google Scholar 

  20. Respondek W. Right and left invertibility of nonlinear control systems. In: Nonlinear Controllability and Optimal Control, (ed. H.J.Sussmann), 1990, 133–176.

    Google Scholar 

  21. Respondek W. and H. Nijmeijer. On local right invertibility of nonlinear control systems. Control-Theory and Advanced Technology, 1988, v. 4, 325–348.

    MathSciNet  Google Scholar 

  22. Singh S.N. Functional reproducibility of multivariable nonlinear systems. IEEE Trans. Autom. Contr., 1982, v. 27, 270–272.

    Article  MATH  Google Scholar 

  23. Sain M.K. and J.L. Massey. Invertibility of linear time-invariant dynamical systems. IEEE Trans. Autom. Contr., 1969, v. 14, 141–149.

    Article  MathSciNet  Google Scholar 

  24. Wohtlmann H.W. Target path controllability of linear time-varying dynamical systems. IEEE Trans. Autom. Control, 1985, v. 30, 84–87.

    Article  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). System inversion. Special case. 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_2

Download citation

  • DOI: https://doi.org/10.1007/3-540-19966-7_2

  • 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