| Title: |
Convex optimization approach to observer-based stabilization of linear systems with parameter uncertainties |
| Authors: |
Kheloufi, Houria; Bedouhene, Fazia; Zemouche, Ali; Alessandri, Angelo |
| Contributors: |
Laboratoire de Mathématiques Pures et Appliquées (LMPA); Université Mouloud Mameri de Tizi-Ouzou; Centre de Recherche en Automatique de Nancy (CRAN); Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS); LAME; Laboratory of Applied Mathematics for Engineering (LAME); Universita degli studi di Genova -Universita degli studi di Genova |
| Source: |
52nd IEEE Conference on Decision and Control, CDC 2013; https://hal.archives-ouvertes.fr/hal-00877197; 52nd IEEE Conference on Decision and Control, CDC 2013, Dec 2013, Florence, Italy. pp.CDROM |
| Publisher Information: |
HAL CCSD |
| Publication Year: |
2013 |
| Collection: |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| Subject Terms: |
Uncertain systems; output feedback and observers; LMIs; [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering |
| Subject Geographic: |
Florence; Italy |
| Time: |
Florence, Italy |
| Description: |
International audience ; In this paper we investigate the design of observer-based controller for uncertain linear systems. On the basis of the approach using the Lyapunov theory jointly with linear matrix inequalities (LMIs), and by handling judiciously the Young relation, we derive new sufficient linear matrix inequality (LMI) conditions for the asymptotic stabilizability. The proposed method allows to compute simultaneously the observer and controller gains by solving only one LMI. The developed approach is then extended to both continuous-time systems with parameter uncertainties and their Euler approximation models. We show that our approach contains, as a particular solution, the elegant results established in [1]. A numerical example is provided to compare with respect to some existing methods. |
| Document Type: |
conference object |
| Language: |
English |
| Relation: |
hal-00877197; https://hal.archives-ouvertes.fr/hal-00877197 |
| Availability: |
https://hal.archives-ouvertes.fr/hal-00877197 |
| Accession Number: |
edsbas.634C66ED |
| Database: |
BASE |