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H2 Optimal Control

  • Uwe Mackenroth
Chapter

Abstract

In Chap. 6 we studied the basic structure and fundamental properties of MIMO feedback systems. This chapter and the following two are concerned with controller synthesis. The idea is to consider the feedback system as a linear operator which maps the input w onto the output z. The feedback loop is given as in Sect. 6.5.1, which means in particular that the plant may contain weights. These weights formulate the design goals and the controller has to be constructed in such a way that it minimizes the operator norm of the feedback system. Operator norms of linear systems governed by ordinary differential equations were introduced in the previous chapter. The most important norms for controller synthesis are the H 2 norm and the H norm.

Keywords

Optimal Control Problem Power Spectral Density Riccati Equation Imaginary Axis Positive Semidefinite 
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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Notes and References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Uwe Mackenroth
    • 1
  1. 1.FB Maschinenbau und WirtschaftsingenieurwesenFachhochschule Lübeck University of Applied SciencesLübeckGermany

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