Singularly perturbed implicit control law for linear time varying delay SISO systems with unknown parameters

This paper considers the problem of stabilizing a single input-single output linear time varying delay system, where the parameters of the system are unknown. A low order controller and a matching controller are proposed. The closed loop system is a linear singularly perturbed retarded system with uniform asymptotic stability behavior. Finally, we show how to design a control law such that the system dynamics is assigned by a Hurwitz polynomial with constant coefficients.