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Stable noninteracting control

  • I-Differential Geometric System Theory Feedback Synthesis
  • Conference paper
  • First Online:
New Trends in Nonlinear Control Theory

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 122))

Abstract

Necessary conditions and sufficient conditions for the existence of a state feedback that achieves noninteraction and internal stability are presented. This entails characterizing the set of all controllability distributions that can arise as solutions to the noninteracting control problem. This characterization is then used to sort through all possible solutions and identify a fixed internal dynamics that is common to every noninteractive closed-loop. The stability properties of this dynamics is shown to be the key factor in the problem of achieving noninteracting control with internal stability.

Research supported by the National Science Foundation under Grant ECS-88-96136

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References

  1. J. W. Grizzle and A. Isidori, “Block noninteracting control with stability via static state feedback”, to appear in Mathematics of Control Signals and Systems, pre-print February 1988.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering and Computer Science, University of Michigan, 48109-2122, Ann Arbor, MI, USA

    J. W. Grizzle

  2. Dipartimento di Informatica e Sistemistica, Università di Roma, “La Sapienza”, Rome, Italy

    A. Isidori

Authors
  1. J. W. Grizzle
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  2. A. Isidori
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Editor information

J. Descusse Michel Fliess A. Isidori D. Leborgne

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© 1989 Springer-Verlag

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Grizzle, J.W., Isidori, A. (1989). Stable noninteracting control. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043018

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  • DOI: https://doi.org/10.1007/BFb0043018

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51075-8

  • Online ISBN: 978-3-540-46143-2

  • eBook Packages: Springer Book Archive

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