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Robust regional pole placement: An affine approximation

  • Part II Robust Control
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Robustness in identification and control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 245))

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Abstract

Assignment of the coefficients of factors of the characteristic polynomial of an uncertain multi-input multi-output system to polytopic regions is considered. Owing to a special upper triangular form of the desired closed-loop polynomial matrix, this formulation leads to an affine design problem. This design is closer to the ultimate pole placement than the assignment of the characteristic polynomial direct. As a result, one obtains a set of affine inequalities with respect to the controller coefficients. The solution (if it exists) of these inequalities then defines all admissible controllers.

Supported by the Ministry of Education of the Czech Republic under Project VS97-034, Grant Agency of the Czech Republic under Project 102/97/0861, and Swiss National Science Foundation under Project 7TRPJ 038631.

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Author information

Authors and Affiliations

  1. Institute of Information Theory and Automation, Academy of Sciences, CZ-182 08, Praha, Czech Republic

    Vladimír Kučera

  2. Trnka Laboratory for Automatic Control, Czech Technical University, CZ-166 27, Praha, Czech Republic

    Vladimír Kučera

  3. Automatic Control Laboratory, Swiss Federal Institute of Technology, CH-8092, Zürich, Switzerland

    František J. Kraus

Authors
  1. Vladimír Kučera
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  2. František J. Kraus
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A. Garulli (Assistant Professor)A. Tesi (Assistant Professor)

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© 1999 Springer-Verlag London Limited

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Kučera, V., Kraus, F.J. (1999). Robust regional pole placement: An affine approximation. In: Garulli, A., Tesi, A. (eds) Robustness in identification and control. Lecture Notes in Control and Information Sciences, vol 245. Springer, London. https://doi.org/10.1007/BFb0109873

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  • DOI: https://doi.org/10.1007/BFb0109873

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-179-5

  • Online ISBN: 978-1-84628-538-7

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