Abstract: In order to reduce the cross-regulation between the output branches of a single-inductor dual-output Buck converter, a sliding mode control method based on objective holographic feedbacks linearization is proposed. This study focuses on the single-inductor dual-output Buck converter operating in continuous conduction mode, establishing an affine nonlinear model of the system. The model is then linearized using objective holographic feedbacks. Subsequently, the sliding mode variable structure control theory is applied to design the controller for the linearized system. The tracking performance and stability of the system under the proposed control strategy are analyzed and proven. Finally, simulation experiments demonstrate the accuracy, effectiveness, and superiority of the proposed control method.