State equations and decomposition into Laguerre functions

José Ragot (1) , Simon Bebe Ekongolo (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

For a linear system, one establishes a connection between the coefficients of the decomposition into Laguerre functions of the inputs and the outputs of the system. When the system is modelled by a state equation, it is showed that the two series are related through a state equation whose matrices are depending of those of the state equations of the system. The new state representation may be used for analysing linear dynamic systems.

Domaines: Automatique / Robotique

José Ragot, Simon Bebe Ekongolo, Didier Maquin. State equations and decomposition into Laguerre functions. Journal of The Franklin Institute, 1996, 333 (2), pp.283-288. ⟨10.1016/0016-0032(96)00018-X⟩. ⟨hal-00143280⟩