On Performance Analysis of Time Delay Systems using a Switched System Approach

https://doi.org/10.3182/20090916-3-ES-3003.00034Get rights and content

Abstract

The presence of a bounded time-varying delay in discrete-time controlled system implies a deterioration of the performance (stability and guaranteed cost). This paper studies controllers design for such a system, leading to a stabilized controlled system and to an upper bound of guaranteed cost as small as possible. The two contexts of state or only output availability are considered. These controllers are obtained via optimization algorithms using Linear Matrix Inequalities and Lyapunov-Krasovskii functions approach. An example illustrates the main results.

Keywords

delay systems
switched systems
LMI
observer based state feedback
performances

Cited by (0)

This work was partially supported by ANR project ArHyCo, Programme “Systèmes Embarqués et Grandes Infrastructures” -ARPEGE, contract number ANR-2008 SEGI 004 01-30011459.

View Abstract