Direct identification of continuous-time linear parameter-varying input/output models

V. Laurain, R. Toth, M. Gilson, H. Garnier

Research output: Contribution to journalArticleAcademicpeer-review

30 Citations (Scopus)
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Abstract

Controllers in the linear parameter-varying (LPV) framework are commonly designed in continuous time (CT) requiring accurate and low-order CT models of the system. However, identification of CT-LPV models is largely unsolved, representing a gap between the available LPV identification methods and the needs of control synthesis. In order to bridge this gap, direct identification of CT-LPV systems in an input-output setting is investigated, focusing on the case when the noise part of the data generating system is an additive discrete-time (DT) coloured noise process. To provide consistent model parameter estimates in this setting, a refined instrumental variable (IV) approach is proposed and its properties are analysed based on the prediction-error framework. The benefits of the introduced direct CT-IV approach over identification in the DT case are demonstrated through a representative simulation example inspired by the Rao-Garnier benchmark.
Original languageEnglish
Pages (from-to)878-888
Number of pages11
JournalIET Control Theory & Applications
Volume5
Issue number7
DOIs
Publication statusPublished - 2011

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