International Federation of Automatic Control |
Session TM3: Linear Systems IIChair: 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. |