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

Vincent Laurain (1) , Roland Toth (2) , Marion Gilson (1) , Hugues Garnier (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 DCSC - Delft Center for System and Control

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.

Mots clés: Identification; LPV; Linear parameter Varying; instrumental variable

Domaines: Automatique / Robotique

Vincent Laurain, Roland Toth, Marion Gilson, Hugues Garnier. Direct identification of continuous-time linear parameter-varying input/output models. IET Control Theory and Applications, 2011, 5 (7), pp.878-888. ⟨10.1049/iet-cta.2010.0218⟩. ⟨hal-00594154⟩