Title :
A LMI solution to the LQ problem for discrete-time singularly perturbed systems
Author :
Malloci, Ivan ; Daafouz, Jamal ; Iung, Claude ; Bonidal, Remi
Author_Institution :
Centre de Rech. en Autom. de Nancy, Nancy Univ., Nancy, France
Abstract :
In this article, an alternative LMI solution for the linear quadratic optimal control design is proposed for discrete-time linear systems in the singular perturbation form. This approach is particularly adapted for the case of high dimension systems. An extension to polytopic uncertain system and an example of practical application to the robust steering control of hot strip mill are also presented.
Keywords :
control system synthesis; discrete time systems; linear matrix inequalities; linear quadratic control; linear systems; singularly perturbed systems; uncertain systems; LMI solution; LQ problem; discrete-time linear systems; discrete-time singularly perturbed systems; high dimension systems; linear quadratic optimal control design; polytopic uncertain system; singular perturbation form; Europe; Optimal control; Optimization; Riccati equations; Robustness; Uncertain systems; LMI; LQ control design; Singular perturbation; polytopic uncertainties;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
