Full order adaptive observer design for time delay bilinear system

This paper addresses the problem of the design of an adaptive observer for a class of time delay systems, in order to give a suitable estimation of the system states and its unknown parameters simultaneously. Based on a descriptor LPV system approach, we propose a simple full order adaptive observer via Linear Matrix Inequalities (LMI's). Those LMI's permit to fulfill the conditions of the estimation errors stability, relying on Krasovskii Lyapunov approach for time delay systems.