Large-signal stability in high-order switching converters

This article presents the application of a new passivity-based control law that stabilizes the output voltage of a fourth-order DC-DC converter. This control law assures large-signal stability, provides zero steady-state error despite uncertainty in converter parameters and has enough degree of freedom to satisfy the usual transient specifications. This new integral control is derived in three steps. First, a static law is obtained. Second, a positive semi-definite storage function is studied to guarantee zero steady-state error of the output voltage. Finally, the storage functions of the first two steps are combined to derive the new control law for high order DC-DC converters.