Computational Mathematics and Modeling

, Volume 18, Issue 2, pp 167–175 | Cite as

Terminal control in flat systems

  • G. T. Doroshenko
  • V. N. Chetverikov


The article considers the application of dynamical feedback control to a special class of nonlinear dynamical systems — so-called flat systems. Flat system, linearizing output, and Lie-Backlund isomorphism are among the concepts reviewed. A man-machine algorithm is proposed for solving the terminal control problem for an arbitrary flat system with known linearizing outputs.


Dynamical Feedback Bank Angle Dynamical Control System Terminal Control Flat System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M. Fliess, J. Levine, Ph. Martin, and P. Rouchon, “Lie-Backlund approach to equivalence and flatness of nonlinear systems,” IEEE Trans. Autom. Contr., 44, No. 5, 922–937 (May 1999).MATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    H. Nijmeijer and A. J. Van der Schaft, Nonlinear Dynamical Control Systems, Springer, New York (1990).MATHGoogle Scholar
  3. 3.
    A. P. Krishchenko, “Design of terminal control algorithms for nonlinear systems,” Izv. RAN, Tekhn. Kibern., No. 1, 48–57 (1994).Google Scholar
  4. 4.
    G. V. Prokhorov, M. A. Ledenev, and V. V. Kolbeev, Maple V — A Software Package for Symbolic Computation [in Russian], Petit, Moscow (1977).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • G. T. Doroshenko
  • V. N. Chetverikov

There are no affiliations available

Personalised recommendations