6533b830fe1ef96bd12971a8

RESEARCH PRODUCT

LPV models: Identification for gain scheduling control

Bassam BamiehLaura Giarre

subject

EngineeringMathematical optimizationbusiness.industryGain scheduling control; identification for nonlinear systems; LPV models;Jet enginelaw.inventionScheduling (computing)Least mean squares filterParameter identification problemGain schedulingControl theoryRobustness (computer science)lawLinear regressionbusinessSurge control

description

In this paper the use of discrete-time Linear Parameter Varying (LPV) models for the gain scheduling control and identification methods for non-linear or time-varying system is considered. We report an overview on the existing literature on LPV systems for gain scheduling control and identification. Moreover, assuming that inputs, outputs and the scheduling parameters are measured, and a form of the functional dependence of the coefficients on the parameters is known, we show how the identification problem can be reduced to a linear regression so that a Least Mean Square and Recursive Least Square identification algorithm can be reformulated. Our methodology is applied for the identification of the LPV model of the stall and surge control for compressors of jet engines.

https://doi.org/10.23919/ecc.2001.7076406