Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems pp 15-33 | Cite as

System inversion. Special case

• Authors
• Authors and affiliations

• Ülle Kotta

Part I Control System Design For (d1, ..., dp)-Forward Time-Shift Right Invertible Systems

First Online: 22 June 2005

• 170 Downloads

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

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

Preview

Unable to display preview. Download preview PDF.

Notes and References

1. [AGW86]
   Albrech F., K.A. Grasse and N. Wax. Path controllability of linear input-output systems. IEEE Trans. Autom. Control, 1986, v. 31, 569–571.CrossRefGoogle Scholar
2. [BMS80]
   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.MATHMathSciNetCrossRefGoogle Scholar
3. [BM65]
   Brockett R.W. and M.D. Mesarovic. The reproducibility of multivariable systems. J. Math. Anal. Appl., 1965, v. 11, 548–563.MATHMathSciNetCrossRefGoogle Scholar
4. [Gra88]
   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.MATHMathSciNetCrossRefGoogle Scholar
5. [Isi89]
   Isidori A. Nonlinear Control Systems. Berlin, Springer-Verlag, 1989.MATHCrossRefGoogle Scholar
6. [Kot83]
   Kotta Ü. On the inverse of a special class of MIMO bilinear systems. Proc. Estonian Acad. Sci. Math., Phys., 1983, v. 32, 323–326.MATHMathSciNetGoogle Scholar
7. [Kot85]
   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. [Kot86a]
   Kotta Ü. Inversion of discrete-time linear-analytic systems. Proc. Estonian Academy of Sci. Phys. Math., 1986, v. 35, 425–431.MathSciNetGoogle Scholar
9. [Kot86b]
   Kotta Ü. On the inverse of discrete-time linear-analytic system. Control-Theory and Advanced Technology, 1986, v. 2, 619–625.Google Scholar
10. [Kot86c]
    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. [Kot90]
    Kotta Ü. Right inverse of a discrete time non-linear system. Int. J. Control, 1990, v. 51, 1–9.MATHMathSciNetCrossRefGoogle Scholar
12. [KS64]
    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.MathSciNetCrossRefGoogle Scholar
13. [MNC83a]
    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. [MNC83b]
    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.MATHMathSciNetCrossRefGoogle Scholar
15. [MNC87]
    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. [MNCI89]
    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. [Nij87]
    Nijmeijer H. Local (dynamic) input-output decoupling of discrete-time nonlinear systems. IMA J. of Mathematical Control and Information, 1987, v. 4, 237–250.MATHMathSciNetCrossRefGoogle Scholar
18. [Nij89]
    Nijmeijer H. On dynamic decoupling and dynamic path controllability in economic systems. Journal of Economic Dynamics and Control, 1989, v. 13, 21–39.MATHMathSciNetCrossRefGoogle Scholar
19. [Pas89]
    Passino K.M. Disturbance rejection in nonlinear systems: examples. IEE Proc. D., 1989, v. 136, 317–323.MATHCrossRefGoogle Scholar
20. [Res90]
    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. [RN88]
    Respondek W. and H. Nijmeijer. On local right invertibility of nonlinear control systems. Control-Theory and Advanced Technology, 1988, v. 4, 325–348.MathSciNetGoogle Scholar
22. [Sin82]
    Singh S.N. Functional reproducibility of multivariable nonlinear systems. IEEE Trans. Autom. Contr., 1982, v. 27, 270–272.MATHCrossRefGoogle Scholar
23. [SM69]
    Sain M.K. and J.L. Massey. Invertibility of linear time-invariant dynamical systems. IEEE Trans. Autom. Contr., 1969, v. 14, 141–149.MathSciNetCrossRefGoogle Scholar
24. [Woh85]
    Wohtlmann H.W. Target path controllability of linear time-varying dynamical systems. IEEE Trans. Autom. Control, 1985, v. 30, 84–87.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Limited 1995

Authors and Affiliations

• Ülle Kotta
  • 1

1. 1.Institute of CyberneticsTallinnEstonia