Frequency domain solution of the H problem for descriptor systems

  • Huibert Kwakernaak
Part D Robust Control
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 241)


The standard H problem for descriptor systems is solved by frequency domain techniques relying on spectral factorization. An algorithm of Clements for the spectral factorization of rational matrices is adapted to the descriptor problem. It leads to a compact and efficient solution that involves transforming two suitable matrix pencils to Clements form.


Descriptor System Imaginary Axis Rational Matrix Algebraic Riccati Equation Matrix Pencil 
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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Huibert Kwakernaak
    • 1
  1. 1.Systems and Control Group, Faculty of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands

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