Applied Technology in Simple Robust Stabilization Design for Time-Delay Systems with Parametric Uncertainties

Abstract

The robust stabilization design problem for the continuous time-delay systems subjected to parametric uncertainties is addressed in this paper. The uncertainties are time-varying. By using the Riccati equation approach associated with some linear algebraic techniques and an upper bound of the solution of the Riccati equation, a new stabilizability criterion and the corresponding control design are proposed. This criterion is independent of the Riccati equation and hence is easy to be tested and the corresponding controller is also easy to be implemented. It is shown that the criterion is sharper than a previous one. A numerical algorithm is also proposed to construct the controller.