Robust control for model following of uncertain dynamic time delay system

The problem of robust model tracking for a class of linear time variable time-delay systems with time-varying uncertain parameters and disturbances is considered. Two approaches of controllers designing are addressed; the first is a linear continuous memoryless controller, which can guarantee the practice tracking to the reference signs based on LMIs without the consideration of the matched conditions. The second is a class of continuous nonlinear state feedback controller guaranteeing that the tracking error decreases asymptotically to zero in the presence of generalized matched uncertainties in systems. This part is an extension of the result of [Wu HS, 2000] to linear time-delay systems with the matched uncertainties.