Abstract : This work tackles the problem of the L-2-L-infinity filtering for continuous-time delay systems with polytopic uncertainties. Based on the parameter dependant Lyapunov function approach (PDLFA), we propose less conservative results by means of a linear matrix inequalities. The use of slack variables provide filter design conditions with less conservativeness. This approach is illustrated by popular numerical examples from the literature.
T. Zoulagh, A. Hmamed, A. El Hajjaji. Improved L-2 - L-infinity filter design for polytopic time-delay systems. 2016 5TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), May 2016, Marrakech, Morocco. pp.134-139. ⟨hal-03634697⟩