LQ Regulator of Systems with Time-Delay in the Inputs by Memoryless Feedback

Abstract

A method to construct a memoryless feedback law for systems with time-delay in the inputs is proposed. A feedback law is constructed with a solution of a matrix equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. Its robust stability conditions against a class of nonlinear static perturbations or a class of linear dynamic perturbations are shown. A numerical example is given.