Design of Nonlinear Backstepping Double-Integral Sliding Mode Controllers to Stabilize the DC-Bus Voltage for DC–DC Converters Feeding CPLs

This paper proposes a composite nonlinear controller combining backstepping and double-integral sliding mode controllers for DC–DC boost converter (DDBC) feeding by constant power loads (CPLs) to improve the DC-bus voltage stability under large disturbances in DC distribution systems. In this regard, an exact feedback linearization approach is first used transform dynamical model into simplified linear system with canonical form so that it becomes suitable designing proposed controller. Another important feature of applying work utilize its capability cancel nonlinearities appearing due incremental negative-impedance CPLs non-minimum phase problem related DDBC. Second, double integral-sliding (BDI-SMC) employed on linearized determine control law. Afterwards, Lyapunov theory analyze closed-loop overall system. Finally, simulation study conducted various operating conditions validate theoretical analysis The results are also compared existing (ESMC) proportional-integral (PI) schemes demonstrate superiority BDI-SMC.