Design a novel digital sliding mode predictive control for buck converter

In this article, a new discrete-time sliding mode predictive control (DSMPC) with a PID sliding function is proposed for synchronous DC-DC buck converter, and its stability analysis is reported. The model predictive control, along with digital sliding mode control (DSMC), is able to further reducing the chattering phenomenon, steady-state error, overshoot and undershoot. The proposed control implementation only requires output error voltage evaluation. The effectiveness of the proposed DSMPC is proved through simulation results executed by the MATLAB/SIMULINK software. These results demonstrate its superior performance to DSMC. In other words, it represents a significant reduction of the chattering, overshoot and undershoots of output voltage response by an optimised control law during load and line variations. The proposed DSMPC almost overcomes the steady-state error (0.02%) and decreases the ripple value to about 0.2%. The overshoot and undershoot are 1.5% and 1%, respectively. Moreover, when the input voltage is changed by 26%, there is approximately no overshoot and undershoot. Also, some experimental results are presented to further illustrate the effectiveness of the proposed system. Experimental studies have been performed using a Spartan-6 ?eld programmable gate array platform by Xilinx for the implementation of the digital control and relevant logic.