Identification of LPV State Space systems by a separable least squares approach

• Type: Article in International Conference Proceedings Book
• Date: 2013

Authors

P. Lopes dos Santos (Author) FEUP; Azevedo Perdicoulis, TP (Author) Other; Ramos, JA (Author) Other; Jorge Martins de Carvalho (Author) FEUP; Rivera, DE (Author) Other

Conference proceedings International

Title: Proceedings of the IEEE Conference on Decision and Control

Pages: 4104-4109

52nd IEEE Conference on Decision and Control, CDC 2013

Florence, 10 December 2013 through 13 December 2013

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Other information

Authenticus ID: P-009-JBV

DOI: 10.1109/cdc.2013.6760518

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6