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Stable LPV realisation of the Smith predictor

Author

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  • Franco Blanchini
  • Daniele Casagrande
  • Stefano Miani
  • Umberto Viaro

Abstract

The paper is concerned with the control of a linear plant with an output delay. As is known, when the plant parameters do not vary in time, the transfer function approach can be used to find a high-performing controller with the Smith-predictor structure. Such an approach in the domain of the Laplace transform is not directly applicable in the time-variant case. Nevertheless, it is shown that the transfer function of the Smith controller valid for constant values of the parameters can be realised in such a way that closed-loop stability, as well as point-wise optimal performance, is ensured also when the parameters vary with time. The suggested technique is applied to the control of a heat exchanger whose varying parameters include a measurement delay.

Suggested Citation

  • Franco Blanchini & Daniele Casagrande & Stefano Miani & Umberto Viaro, 2016. "Stable LPV realisation of the Smith predictor," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2393-2401, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2393-2401
    DOI: 10.1080/00207721.2014.998319
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