Robust Observer-based Control Design for Singular Systems with Delays in States

Abstract

In this paper, the robust observer-based control problem for uncertain singular time delay systems is investigated. The approach is based on using Finsler's lemma. First, delay-dependent linear matrix inequality (LMI) conditions are obtained which, guarantee that the nominal unforced system is regular, impulse free, and stable. Then, with the help of obtained admissibility criterion, an observer-based controller is given by solving a set of LMIs. Finally, some simulations are provided to demonstrate the effectiveness of the obtained results.