Improved L2 – L∞ filter design for polytopic time-delay systems

This work tackles the problem of the L2 – L∞ 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.