Generalised Hold Devices

  • Juan I. Yuz
  • Graham C. Goodwin
Part of the Communications and Control Engineering book series (CCE)


The zeros of the sampled model depend on the artifacts of the sampling process, namely, how the continuous-time input is generated by a hold device and how the output samples are obtained. In this chapter, the effect of the hold device is studied in a more general setting. In particular, hold devices are characterized by their impulse response. In this framework, zero- and first-order holds are particular cases of these generalized hold functions.

Further Reading

Further results on using generalised hold functions can be found in

  1. Arriagada I, Yuz JI (2008) On the relationship between splines, sampling zeros and numerical integration in sampled-data models for linear systems. In: American control conference, ACC 2008, Seattle, WA, USA Google Scholar
  1. Feuer A, Goodwin GC (1994) Generalized sample hold functions: frequency domain analysis of robustness, sensitivity, and intersample difficulties. IEEE Trans Autom Control 39(5):1042–1047 MathSciNetCrossRefzbMATHGoogle Scholar
  2. Kabamba P (1987) Control of linear systems using generalized sampled-data hold functions. IEEE Trans Autom Control 32(9):772–783 MathSciNetCrossRefzbMATHGoogle Scholar
  3. Yuz JI, Goodwin GC, Garnier H (2004) Generalised hold functions for fast sampling rates. In: 43rd IEEE conference on decision and control, Nassau, Bahamas Google Scholar
  4. Zhang J, Zhang C (1994) Robustness analysis of control systems using generalized sample hold functions. In: 33th IEEE conference on decision and control, Lake Buena, Vista, FL, USA Google Scholar

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  • Juan I. Yuz
    • 1
  • Graham C. Goodwin
    • 2
  1. 1.Departamento de ElectrónicaUniversidad Técnica Federico Santa MaríaValparaísoChile
  2. 2.School of Electrical Engineering & Computer ScienceUniversity of NewcastleCallaghanAustralia

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