Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Systems and Control Letters Année : 2007

Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs

Résumé

A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback control law is tackled here, along with H2 performance optimization. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust H2 stabilization is proposed. Based on periodic parameter-dependent Lyapunov functions, this last condition is shown to be always less conservative than the more classic one based on the quadratic stability framework. This is illustrated on a numerical example from the literature.

Dates et versions

hal-00168061 , version 1 (24-08-2007)

Identifiants

Citer

Christophe Farges, Dimitri Peaucelle, Denis Arzelier, Jamal Daafouz. Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs. Systems and Control Letters, 2007, 56 (2), pp.159-166. ⟨10.1016/j.sysconle.2006.08.006⟩. ⟨hal-00168061⟩
137 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More