6533b837fe1ef96bd12a273c

RESEARCH PRODUCT

Identification of linear parameter varying models

Laura GiarreBassam Bamieh

subject

Parameter identification problemNonlinear systemIdentification (information)Control theoryMatrix algebraLinear regressionLinear systemScheduling (production processes)Applied mathematicsExcitationMathematics

description

We consider the problem of identifying discrete-time linear parameter varying models of nonlinear or time-varying systems. We assume that inputs, outputs and the scheduling parameters are measured, and a form of the functional dependence of the coefficients on the parameters. We show how the identification problem can be reduced to a linear regression, and we give conditions on persistency of excitation in terms of the inputs and parameter trajectories.

https://hdl.handle.net/11380/1123560