Sliding mode control of Boost converter with jump flow switched system

In the Boost converter, the equivalent series resistance (ESR) of the output capacitor, may cause output voltage (v(o)) jumps, that are not modeled commonly in the literature. These jump discontinuities in v(o), lead to performance issues in switching surface (SS) controllers. In this paper, these ESR effects are modeled using switched systems with state jumps, called jump-flow switched (JFS) systems. Furthermore, it is shown that approximating the capacitor voltage (v(c)), with v(o), can cause undesired limit cycles, oscillations, chattering or instability issues. To resolve these issues, a non-jumping normal switched system is defined for JFS systems, that is equivalent to the internal continuous dynamics. Simulation and experimental results show the fast and robust responses of the controller board with Boost converter