Set-membership identification of LPV models with uncertain measurements of the time-varying parameter

Author

Cerone, V. ; Regruto, D.

Author_Institution

Dipt. di Autom. e Inf., Politec. di Torino, Turin, Italy

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

4491

Lastpage

4496

Abstract

In this paper the identification of SISO linear parameter varying (LPV) models when both the output and the time-varying parameter measurements are affected by bounded noise is considered. First, the problem is formulated in terms of Error-in-variables (EIV) identification in presence of bounded noise. Then, a polytopic outer approximation of the feasible parameter set (FPS) and the parameters uncertainty intervals (PUI) of the LPV model are computed solving the EIV problem.

Keywords

approximation theory; discrete time systems; parameter estimation; set theory; time-varying systems; uncertain systems; SISO discrete-time linear parameter varying model; bounded noise; error-in-variable identification; feasible parameter set; parameter uncertainty interval; polytopic outer approximation; set-membership identification; uncertain time-varying parameter measurement; Difference equations; Least squares approximation; Mathematical model; Measurement uncertainty; Noise measurement; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Time varying systems; Uncertain systems; Linear Parameter Varying; bounded uncertainty; errors-in-variable; linear programming; parameter bounding;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739267

Filename

4739267