THE DESIGN OF STATE OBSERVER AND OBSERVER BASED ROBUST CONTROLLERS FOR UNCERTAIN LINEAR SYSTEMS WITH TIME VARYING DELAYS

The design of state observer and observer based robust controllers for uncertain linear systems with time varying delays is studied, where the uncertainty is time varying and does not satisfy matching conditions. In the light of the linear matrix inequality(LMI) approach, a sufficient condition is given for the existence of the state observer and observer based robust controllers for such uncertain systems. We obtain state observer and observer based robust controllers by constructing an augmented system.