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An Interval Analysis Based Algorithm for Computing the Stability Margin of Uncertain Systems

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Numerical Methods and Applications (NMA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2542))

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Abstract

A new algorithm for robust stability analysis of linear timeinvariant systems which depend on continuously and nonlinearly by uncertain parameters is proposed. The algorithm computes the stability margin as the maximal l∞ domain in the parameter space compatible with stability. An interval procedure is used to check positivity on an annular domain centered on the nominal parameter vector.

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References

  1. Ackermann, J.: Uncertainty structures and robust stability analysis. Proceedings of the First European Control Conference (1991) 2318–2327.

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Author information

Authors and Affiliations

  1. Dipartimento di Ingegneria dell’Informazione, University of Parma, India

    Aurelio Piazzi

  2. Dipartimento di Elettronica per l’Automazione, University of Brescia, Brescia

    Antonio Visioli

Authors
  1. Aurelio Piazzi
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  2. Antonio Visioli
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Editor information

Editors and Affiliations

  1. Central Laboratory for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, bl. 25A, 1113, Sofia, Bulgaria

    Ivan Dimov , Ivan Lirkov  & Svetozar Margenov ,  & 

  2. National Environmental Research Institute, Frederiksborgvej 399, P.O. Box 358, 4000, Roskilde, Denmark

    Zahari Zlatev

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© 2003 Springer-Verlag Berlin Heidelberg

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Piazzi, A., Visioli, A. (2003). An Interval Analysis Based Algorithm for Computing the Stability Margin of Uncertain Systems. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev, Z. (eds) Numerical Methods and Applications. NMA 2002. Lecture Notes in Computer Science, vol 2542. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36487-0_27

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  • DOI: https://doi.org/10.1007/3-540-36487-0_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00608-4

  • Online ISBN: 978-3-540-36487-0

  • eBook Packages: Springer Book Archive

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