State Feedback PI-Controller for Robust Stability Analysis and Stabilization of Input-Delayed Systems

An approach is proposed in this paper to derive a delay-dependent robust stabilization criterion for uncertain input-delayed system in Linear Matrix Inequality (LMI) framework using Proportional-Integral (PI) controller. By adding integral control action for the state feedback stabilization the degree of freedom of the controller increases as a result of which the robustness increases. The matrix variables are involved in the Lyapunov-Krasovskii approach for deriving a less conservative stabilization criterion. The obtained criterion is validated by a wellknown example with some existing results.