Robust Finite-Dimensional Controller Synthesis

  • Ruth F. Curtain
  • Hans Zwart
Part of the Texts in Applied Mathematics book series (TAM, volume 21)


In Chapter 7, we saw that the algebra \(M\hat B\left( \beta \right) \) of infinite-dimensional transfer matrices is large enough to contain all β-exponentially stabilizable and detectable state linear systems with finite-rank inputs and outputs and many systems with unbounded input and output operators. In this chapter, we shall develop a theory for robust controllers for transfer matrices in \(M\hat B\left( \beta \right) \), using the mathematical structure outlined in the last two chapters. First, we define the appropriate stability concepts for transfer matrices.


Imaginary Axis Robust Stabilization Stability Margin Robust Controller Hankel Operator 
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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Ruth F. Curtain
    • 1
  • Hans Zwart
    • 2
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands
  2. 2.Faculty of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands

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