Robust Controller Design for Uncertain Time Delay Systems with Nonlinear Perturbations: An LMI Approach

Abstract

This paper considers the stability of time delay systems with both parameter uncertainties and nonlinear perturbations. A nonlinear type of robust controller is proposed based on a variable structure control technique. A Delay-dependent controller can eliminate the effect of the nonlinear uncertainties in the system and guarantee the stability of the closed-loop when the time delay is less than a given bound. Examples illustrate the effectiveness of the proposed method.