A controller with anti-windup compensator is proposed in this paper, for coping with the saturating nature where the delays are included in certain parts of the state-space representation and the perturbation must be rejected effectively to achieved the desired performance using a steer-by-wire technology that is a technique to eliminate the mechanical linkage between the steering and the front wheels. Then, a simplified and detailed description of this technology is discussed to establish a linearized mathematical model in order to ensure the robust stability of a vehicle under the complicated condition of work and road. By incorporating the delay-decomposition technique, the generalized sector condition and the Finsler's lemma, sufficient conditions in the form of LMIs are derived to satisfy the control based on the Lyapunov–Krasovskii (L–K) functional. The simulation results are presented to show that high performance and robustness are achieved.