Interval observer approach to output stabilization of time-varying input delay systems

The output stabilization problem for a linear system with an unknown time-varying bounded input delay is considered. The interval observer technique is applied in order to obtain guaranteed interval estimates of the system state. The procedure of the interval observer design, which is based on resolving of the Sylvester´s equation, is discussed. Interval predictor is introduced and applied for a linear output stabilizing feedback design. The design procedure is based on Linear Matrix Inequalities (LMI). The theoretical results are supported by numerical simulations.