This paper is concerned with L2-stability analysis of hinging hyperplane autoregressive models with exogenous inputs (HHARX). The proposed approach relies on analysis results for systems with repeated nonlinearities based on the use of integral quadratic constraints. An equivalent linear fractional representation of HHARX models is firstly derived. In this representation, an HHARX model is seen as the feedback interconnection of a linear system and a diagonal static block with repeated scalar nonlinearity. This makes it possible to exploit the aforementioned analysis results. The corresponding sufficient condition for L2-stability can be checked via a linear matrix inequality. A numerical example shows that the proposed approach is effective in practice.

Bianchini, G., Paoletti, S., Vicino, A. (2008). L2-stability of hinging hyperplane models via integral quadratic constraints. In Proc. of 47th IEEE Conference on Decision and Control (pp.3398-3403). IEEE [10.1109/CDC.2008.4739320].

L2-stability of hinging hyperplane models via integral quadratic constraints

BIANCHINI, GIANNI;PAOLETTI, SIMONE;VICINO, ANTONIO
2008-01-01

Abstract

This paper is concerned with L2-stability analysis of hinging hyperplane autoregressive models with exogenous inputs (HHARX). The proposed approach relies on analysis results for systems with repeated nonlinearities based on the use of integral quadratic constraints. An equivalent linear fractional representation of HHARX models is firstly derived. In this representation, an HHARX model is seen as the feedback interconnection of a linear system and a diagonal static block with repeated scalar nonlinearity. This makes it possible to exploit the aforementioned analysis results. The corresponding sufficient condition for L2-stability can be checked via a linear matrix inequality. A numerical example shows that the proposed approach is effective in practice.
9781424431236
Bianchini, G., Paoletti, S., Vicino, A. (2008). L2-stability of hinging hyperplane models via integral quadratic constraints. In Proc. of 47th IEEE Conference on Decision and Control (pp.3398-3403). IEEE [10.1109/CDC.2008.4739320].
File in questo prodotto:
File Dimensione Formato  
L2-stability_of_hinging_hyperplane_models_via_integral_quadratic_constraints.pdf

non disponibili

Tipologia: PDF editoriale
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 229.48 kB
Formato Adobe PDF
229.48 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/45316