Robust stability analysis for delayed systems with bounded input and its application to the flight control

We consider the stabilization problems via LMI methods for linear system subject to time delays, parameter uncertainties and bounded input. In our approach, the least conserative approach is adopted to ensure stabilization with the Lyapunov-Krasovskii stability theory and differential inclusions input model. The corresponding robust state feedback controller is synthetized through the solution of a set of linear matrix inequalities (LMIs), which is dependent on the time-delay and time-delay change rate. Effectiveness of the proposed method is shown by an aircraft flight control simulation results.