Robustness improvement of input delayed systems using static state feedback controller

This paper contributes to develop a Linear Matrix Inequality (LMI) based robust delay dependent criterion using a simple static state feedback controller for systems with norm bounded uncertainties and time varying delay. The major issue in such type of stabilization problem is the linearization of nonlinear terms in the stability criterion. To address such issue, a simple Linearization technique is used. To derive the criterion a suitable Lyapunov-Krasovskii functional is chosen and free-weighting matrix variable approach is employed. Finally, numerical examples are presented to show the improvement in robustness using the proposed approach.