An LMI approach for robust stabilization of observer-based time-delay uncertain dynamic systems

We present an observer-based robust stabilization approach for a class of time-varying delayed uncertain systems where the uncertainty satisfies the matching conditions. These systems have delay in both state and control. The approach involves solving linear matrix inequalities (LMI). That is, through solving a pair of linear matrix inequalities, observer-based feedback controllers are obtained. The approach is simple to use in practice