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Which State Feedback Control Laws will not Alter the System’s Transfer Function?

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Abstract

A parameterization of all state feedback control laws that do not alter the system’s transfer function matrix is presented. The problem is recognized as a special case of another problem, the model matching by state feedback. The parameterization is thus obtained by parameterizing a qualified solution set of a linear matrix polynomial equation.

This work was supported by the Technology Agency of the Czech Republic under the project TE01020197 Centre for Applied Cybernetics 3.

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Authors and Affiliations

  1. Institute of Informatics, Robotics and Cybernetics, Czech Technical University in Prague, Zikova 4, 166 36, Prague, Czech Republic

    Vladimír Kučera

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  1. Vladimír Kučera
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Correspondence to Vladimír Kučera .

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Editors and Affiliations

  1. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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Kučera, V. (2015). Which State Feedback Control Laws will not Alter the System’s Transfer Function?. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_1

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  • DOI: https://doi.org/10.1007/978-3-319-27340-2_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27339-6

  • Online ISBN: 978-3-319-27340-2

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