Integral Sliding Mode Control of a DC-DC Boost Converter with Uncertainties

This paper introduces an integral sliding mode control (ISMC) strategy for a DC-DC boost converter. We establish the converter's averaged model in continuous conduction mode, followed by linearization at a specific operating point. The linearized model is then augmented to incorporate uncertainties. An ISMC law is designed based on the proposed model. This ISMC utilizes an integral sliding manifold and a control law composed of nominal and discontinuous control components. The nominal control component is designed using optimal control theory to reduce the reaching phase, while the discontinuous control component is designed to improve the system's robustness against uncertainties. The stability of the control strategy is validated through Lyapunov stability analysis and reachability conditions. Simulations verify the proposed controller's superior performance compared to conventional PID and linear quadratic regulator methods in achieving the desired voltage tracking and output voltage regulation. These results emphasize the potential of the ISMC approach for practical applications.