Stabilizing switching control of power converters: The lossy line and nonlinear case

This paper proposes a switching control approach for the set-point stabilization of power converters connected via a lossy transmission line to a resistive load. The approach employs a Lyapunov function that is directly based on the energy functions of the power converter and of the transmission line described by the telegraph equations. The method allows a certain freedom in the choice of the stabilizing switching control law, and in a simple example a comparison is made between a maximum descent strategy and a minimum commutation strategy. Finally it is shown how the method can be extended to the case of power converters with nonlinear energy-storing elements.