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The H2 optimal control problem

  • Harry L. Trentelman
  • Anton A. Stoorvogel
  • Malo Hautus
Chapter
Part of the Communications and Control Engineering book series (CCE)

Abstract

In this chapter we consider the H 2 optimal control problem. Given a controlled linear system with a white noise disturbance input, we show that the size (in an appropriate sense) of the controlled output is equal to the H 2 norm of the closed loop transfer matrix. Motivated by this, we define the performance of the controlled system to be the H 2 norm of the closed loop transfer matrix. This gives rise to the H 2 optimal control problem: for a given control system, minimize the square of the H 2 norm of the closed loop transfer matrix over the class of all internally stabilizing feedback controllers.

Keywords

Optimal Control Problem State Feedback Imaginary Axis Algebraic Riccati Equation Internal Stability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Harry L. Trentelman
    • 1
  • Anton A. Stoorvogel
    • 2
  • Malo Hautus
    • 2
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of Mathematics and Computing ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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