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

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

Wednesday Afternoon

Session WA2: Time-Delay Systems


Chair: Jean-François Lafay - France
Co-chair: Daniel Coutinho - Brazil
Room: Montevideo
2007-10-17
From 13:30 to 15:30
Feedback Control Design for Switched Systems with Time-Varying Delay
Sehjeong Kim; Insop Song
Contact: Sehjeong Kim - Australia
13:30-13:50
Abstract:
Feedback control design is considered for stabilizing a discrete-time switched system with time-varying delay and time-varying uncertainty. In particular, we establish a practical method to construct feedback controllers to stabilize the system without requiring knowledge of the time-varying delay. First, we design feedback controllers which stabilize a non delayed switched system with time-varying uncertainty for any switching rule. Then, we quantify the maximum size of the time-varying delay which guarantees stability of the system of interest regardless of time-varying uncertainty. We achieve this via multiple Lyapunov functionals and the linear matrix inequalities framework. Copyright © 2007 IFAC.