Robust Observer and Observer‐Based Controller for Time‐Delay Singular Systems

Abstract

Abstract In this paper we address the problems of observer and observer‐based controller design for a class of nonlinear time‐delay singular systems. The proposed methods use particular Lyapunov functions depending on the disturbances in order to avoid a specific obstacle in the stability analysis. Consequently, two linear matrix inequality ( LMI ) conditions ensuring the convergence of the estimation error and the closed loop system were presented. These LMIs were obtained by manipulating Y oung's inequality in order to linearize some bilinear terms.