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H 2 Performance Criteria

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Data-Driven Controller Design

Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

The formal statement of the H 2 design problem is given in Chap. 2 along with its basic properties. The different H 2 control objectives are presented: minimum variance control, model reference control, economy of control effort and their combinations. A central theoretical concept is introduced: the ideal controller regarding each control objective. The resulting similarities with the theory of system identification are discussed. Then the designer’s choices in choosing her/his performance criterion are examined under the light of these concepts, deriving guidelines for these choices.

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Notes

  1. 1.

    The \(\bar{C}(z)\) vector introduced in the previous chapter.

  2. 2.

    That is, neglecting the effect of noise.

  3. 3.

    Including integral action in the controller being by far the most common instance.

References

  1. K.J. Åström, B. Wittenmark, Adaptive Control, 2nd edn. (Addison-Wesley, Reading, 1995)

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  2. M.C. Campi, A. Lecchini, S.M. Savaresi, Virtual reference feedback tuning: A direct method for the design of feedback controllers. Automatica 38, 1337–1346 (2002)

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  3. G. Goodwin, S.F. Graebe, M.E. Salgado, Control System Design (Prentice Hall, New York, 2000)

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  4. L. Ljung, System Identification – Theory for the User, 2nd edn. (Prentice Hall, New York, 1999)

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Author information

Authors and Affiliations

  1. Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, Rio Grande do Sul, Brazil

    Alexandre Sanfelice Bazanella, Lucíola Campestrini & Diego Eckhard

Authors
  1. Alexandre Sanfelice Bazanella
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  2. LucĂ­ola Campestrini
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  3. Diego Eckhard
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Corresponding author

Correspondence to Alexandre Sanfelice Bazanella .

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© 2012 Springer Science+Business Media B.V.

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Sanfelice Bazanella, A., Campestrini, L., Eckhard, D. (2012). H 2 Performance Criteria. In: Data-Driven Controller Design. Communications and Control Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2300-9_2

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  • DOI: https://doi.org/10.1007/978-94-007-2300-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2299-6

  • Online ISBN: 978-94-007-2300-9

  • eBook Packages: EngineeringEngineering (R0)

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