Robust control for uncertain linear delay systems via sliding mode control

Summary In this paper, a novel discontinuous control strategy for robust stabilization of a class of uncertain multivariable linear time-delay systems with delays in both the state and control variables is proposed. Two predictors are first designed to compensate the delay effect in the control input, and then an integral sliding mode control technique is applied to compensate partially the effect of the perturbation term. Finally, a nominal delay-free component of the full control input is designed to stabilize the sliding mode dynamics. Conditions for the stability of the closed-loop perturbed system are then derived. The proposed framework is then extended to the class of systems modeled in regular form. Some examples illustrate the feasibility of the proposed scheme. Copyright © 2017 John Wiley & Sons, Ltd.