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

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

Wednesday Evening

Session WE2: Switched and Jump Systems


Chair: José C. Geromel - Brazil
Co-chair: Elena de Santis - Italy
Room: Montevideo
2007-10-17
From 16:00 to 18:00
Switched State Jump Observers for a Class of Nonlinear Switched Systems
Yunjie Hua; Gabriela Iuliana Bara; Mohamed Boutayeb; Edouard Laroche
Contact: Yunjie Hua - France
17:40-18:00
Abstract:
This paper addresses the problem of switched state 'jump' observer synthesis for a class of nonlinear switched systems for which the active mode is assumed to be unknown. The use of multiple quadratic Lyapunov functions and of the differential mean value theorem allows to transform the nonlinear error dynamics into a Linear Parameter Varying (LPV) system. Then we develop sufficient conditions for the observer synthesis that guarantee an upper bound on the estimation error. For a fixed value of a scalar parameter, the synthesis problem is brought to one of solving linear matrix inequalities (LMIs) that are easily tractable. A numerical example that demonstrates the applicability of our approach is also presented. Copyright © 2007 IFAC.