International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Thursday Morning

Session TM3: Linear Systems II


Chair: Henri Bourlès - France
Co-chair: Mohamed Yagoubi - France
Room: Santiago
2007-10-18
From 10:00 to 12:00
An Extended State-Feedback H2 Controller for Descriptor Systems
Mohamed Yagoubi; Philippe Chevrel; Fabien Claveau
Contact: Mohamed Yagoubi - France
11:20-11:40
Abstract:
This paper investigates the design of an “extended” state-feedback H2 controller for continuous-time descriptor systems. In such problem, the controller, which is in descriptor form, is found such that : - The closed-loop transfer is strictly proper and has minimum L2-norm. - Only the internal stability of the physical system (and not the overall descriptor standard model) is sought. An explicit characterization of the solution based on a generalized algebraic Riccati equation and two Sylvester equations is given. Under some additional assumptions, a LMI-based solution is proposed. A numerical example is also included to show the applicability of the proposed results. Copyright © 2007 IFAC.