Incremental Sampled-Data Models

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


This chapter explores the relationship between sampled-data models and the associated continuous-time system. In particular, the chapter shows how the sampled-data model relates to the original continuous-time model, when a fast sampling rate is used. It is shown that a simple reparameterization of the sampled model in the so called incremental (or delta) form, is required in order to recover the continuous-time model when the sampling period goes to zero.

Further Reading

Additional background on incremental models can be found in

  1. Feuer A, Goodwin GC (1996) Sampling in digital signal processing and control. Birkhäuser, Boston CrossRefzbMATHGoogle Scholar
  2. Goodwin GC, Middleton RH, Poor HV (1992) High-speed digital signal processing and control. Proc IEEE 80(2):240–259 CrossRefGoogle Scholar
  3. Mansour M (1993) Stability and robust stability of discrete-time systems in the δ-transform. In: Jamshidi M et al. (eds) Fundamentals of discrete-time systems: a tribute to Prof. Eliahu I. Jury. TSI Press, San Antonio Google Scholar
  4. Middleton RH, Goodwin GC (1990) Digital control and estimation. A unified approach. Prentice Hall, Englewood Cliffs zbMATHGoogle Scholar
  5. Premaratne K, Jury EI (1994) Tabular method for determining root distribution of delta-operator formulated real polynomials. IEEE Trans Autom Control 39(2):352–355 MathSciNetCrossRefzbMATHGoogle Scholar
  6. Salgado ME, Middleton RH, Goodwin GC (1988) Connection between continuous and discrete Riccati equations with applications to Kalman filtering. IEE Proc Part D, Control Theory Appl 135(1):28–34 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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