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Analysis of Nonlinear Discrete-time Control Systems based on Lie-Groups

  1. Johann Holl1,2,*,
  2. Kurt Schlacher1,2

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410047

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PAMM

PAMM

Volume 4, Issue 1, pages 131–132, December 2004

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How to Cite

Holl, J. and Schlacher, K. (2004), Analysis of Nonlinear Discrete-time Control Systems based on Lie-Groups. Proc. Appl. Math. Mech., 4: 131–132. doi: 10.1002/pamm.200410047

Author Information

  1. 1

    Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenbergerstr. 69, A-4040 Linz, Austria

  2. 2

    Christian Doppler Laboratory – Automatic Control of Mechatronic Systems in Steel Industries, Johannes Kepler University Linz, Altenbergerstr. 69, A-4040 Linz, Austria

*Phone: +43 732 2468 9737, Fax: +43 732 2468 9734

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

This contribution is concerned with the observability and accessibility analysis of nonlinear explicit discrete-time control systems. The presented approach is fundamental based on the fact that the geometric interpretation known from the analysis of continuous-time systems based on Lie groups is also appropriate in the discrete-time case. It is shown that by investigation of invariants of Lie groups acting on the solution of the system it is possible to state conditions for local observability and accessibility without calculating the solution. These methods provide tests which can be done by computer algebra. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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