A LMI solution to the LQ problem for discrete-time singularly perturbed systems

Ivan Malloci (1) , Jamal Daafouz (1) , Claude Iung (1) , Rémi Bonidal (2)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 ArcelorMittal

In this article, an alternative LMI solution for the linear quadratic optimal control design is proposed for the discrete-time systems in the singular perturbation form. This approach is particularly adapted for the case of high dimension systems. Moreover, it can be easily extended to the uncertain systems, under some assumptions. An example of practical application to the robust steering control of hot strip mill is presented.

Mots clés: Singular perturbation; LQ control design; LMI; Robust control

Domaines: Automatique

Ivan Malloci, Jamal Daafouz, Claude Iung, Rémi Bonidal. A LMI solution to the LQ problem for discrete-time singularly perturbed systems. 10th European Control Conference, ECC'09, Aug 2009, Budapest, Hungary. pp.CDROM. ⟨hal-00417790⟩