CEC Faculty Articles

Title

Identification of LPV State Space Systems by a Separable Least Squares Approach

Event Date/Location

Florence, Italy

Document Type

Article

Date

12-2013

Publication Title

IEEE Conference on Decision and Control

ISSN or ISBN

0191-2216

First Page

4104

Last Page

4109

Description

In this article, an algorithm to identify LPV State Space models is proposed. The LPV State Space system is in the companion reachable canonical form. Both the state matrix and the output vector coefficients are linear combinations of a set of nonlinear basis functions dependent on the scheduling signal. This model structure, although simple, can describe accurately the behaviour of many nonlinear systems by an adequate choice of the scheduling signal. The identification algorithm minimises a quadratic criterion of the output error. Since this error is a linear function of the output vector parameters, a separable nonlinear least squares approach is used to minimise the criterion function by a gradient method. The derivatives required by the algorithm are the states of LPV systems that need to be simulated at every iteration. The effectiveness of the algorithm is assessed by two simulated examples.

DOI

10.1109/CDC.2013.6760518

This document is currently not available here.

Peer Reviewed

Find in your library

Share

COinS