Ripple-free control response by using a fractional order hold device

  • Authors:
  • Unai Ugalde;Rafael Bárcena;Koldo Basterretxea

  • Affiliations:
  • Department of Electronics and Telecommunications, University of the Basque Country, Bilbao, Spain;Department of Electronics and Telecommunications, University of the Basque Country, Bilbao, Spain;Department of Electronics and Telecommunications, University of the Basque Country, Bilbao, Spain

  • Venue:
  • WSEAS TRANSACTIONS on SYSTEMS
  • Year:
  • 2008

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Abstract

In digital control, discrete-time signal reconstruction is usualy carried out by the zero-order hold (ZOH), although other options exist which exhibit interesting properties. A remarkable alternative is the fractional-order hold (FROH), which provokes no intersample ripple under steady state and, if properly tuned, can often place the discretized plant model z-domain zeros in more convenient locations than the ZOH. This zero placing technique, in turn, gives rise to closed-loop performance improvements for many cases. However, since it is formulated in the z-domain, it cannot anticipate continuous-time closed-loop behaviour. Besides, going through zero placement is burdensome, especially for high-order models. This work presents a new and simpler method which directly links the tuning of the FROH with some desired closed-loop features, bypassing zero placement. It is based on the frequency domain, which makes it possible to capture the continuous-time behaviour. The simulations performed have shown clear improvements over zero placement, in terms of time-domain performance figures, intersample behaviour, and the energy consumed in step responses.