Discretization of linear fractional representations of LPV systems

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Abstract

Commonly, controllers for Linear Parameter- Varying (LPV) systems are designed in continuous-time using a Linear Fractional Representation (LFR) of the plant. However, the resulting controllers are implemented on digital hardware. Furthermore, discrete-time LPV synthesis approaches require a discrete-time model of the plant which is often derived from continuous-time first-principle models. Existing discretization approaches for LFRs suffer from disadvantages like alternation of dynamics, complexity, etc. To overcome the disadvantages, novel discretization methods are derived. These approaches are compared to existing techniques and analyzed in terms of approximation error, considering ideal zero-order hold actuation and sampling.
Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages7424-7429
ISBN (Print)978-1-4244-3871-6
DOIs
Publication statusPublished - 2009
Event48th IEEE Conference on Decision and Control (CDC 2009) - "Shanghai International Convention Center", Shanghai, China
Duration: 16 Dec 200918 Dec 2009
Conference number: 48
http://people.bu.edu/johnb/CDC2009-cfp.pdf

Conference

Conference48th IEEE Conference on Decision and Control (CDC 2009)
Abbreviated titleCDC 2009
CountryChina
CityShanghai
Period16/12/0918/12/09
Internet address

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  • Cite this

    Toth, R., Lovera, M., Heuberger, P. S. C., & Hof, Van den, P. M. J. (2009). Discretization of linear fractional representations of LPV systems. In Proceedings of the 48th IEEE Conference on Decision and Control (CDC 2009), 16-18 December 2009, Shanghai, China (pp. 7424-7429). Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2009.5400623