ABSTRACT -- In this paper, we present a method of stabilizing uncertain time-delay systems. The systems under consideration are described by linear state delayed equation whose coefficient matrices contain norm-bounded time-varying elements. By some matching conditions, we can rend time-varying elements and reform the equation to linear state delayed equation with disturbances. Then we apply a linear transformation technique to reduce the uncertain systems to ones of which nominal systems are of delay-free type. Consequently, we can derive a suitable controller for the perturbed systems, and we will prove that the controller can robustly stabilize the closed-loop systems against perturbation. Finally, control system design for the two tanks chemical reactor with delayed recycle will be illustrated to show applicability of the proposed method.
Keywords -- Robust Control, Time-delay System, Control System Design.