Models for Intersample Response

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


Most of the book deals with sampled models that describe the signals at the sampling instants. In this chapter we focus on describing the system response that occurs between samples. The ideas presented here build on the results for the at-sample response previously presented in the book. Two views of the intersample response are presented, namely in the frequency domain and the time domain.

Further Reading

Intersample response can be modelled using modified Z-transforms

  1. Jury EI (1958) Sampled-data control systems. Wiley, New York zbMATHGoogle Scholar

The frequency-domain ideas described in Sect. 21.1 are explained in greater detail in

  1. Goodwin GC, Graebe SF, Salgado ME (2001a) Control system design. Prentice Hall, Upper Saddle River, Chap. 4 Google Scholar

Further insights into repetitive control are given in

  1. Goodwin GC, Graebe SF, Salgado ME (2001b) Control system design. Prentice Hall, Upper Saddle River, p 375 Google Scholar

Intersample issues associated with generalised holds are described in

  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. Feuer A, Goodwin GC (1996) Sampling in digital signal processing and control. Birkhäuser, Boston CrossRefzbMATHGoogle Scholar

More information on lifting can be found in

  1. Chen T, Francis BA (1995) Optimal sampled-data control systems. Springer, London CrossRefzbMATHGoogle Scholar

Duality between hybrid optimal filtering and the hybrid regulator problem is described in

  1. Goodwin GC, Mayne DQ, Feuer A (1995) Duality of hybrid optimal regulator and hybrid optimal filter. Int J Control 61(6):1465–1471 MathSciNetCrossRefzbMATHGoogle 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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