Stable LPV realisation of the Smith predictor. Issue 10 (26th July 2016)

• Record Type: Journal Article
• Authors: Blanchini, Franco; Casagrande, Daniele; Miani, Stefano; Viaro, Umberto
• Is Part Of: International journal of systems science. Volume 47:Issue 10(2016)
• Page Start: 2393
• Page End: 2401
• Publication Date: 2016-07-26
• Subjects: LPV systems -- time-delay systems -- LPV-stable realisation -- Smith predictor; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.998319
• Languages: English
• ISSNs: 0020-7721

Abstract

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.