Design of robust controllers for time-delay systems

Abstract

The problem of stabilizing linear dynamical time-delay systems subject to bounded uncertainties is investigated. Two memoryless feedback controllers are considered. It is established that when the matching conditions are met and certain bounding relations are satisfied, then the linear controller renders the zero-response of the system asymptotically stable. Saturation-type controllers are shown to guarantee that all system responses are uniformly ultimately bounded.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>