Reliable constrained control of DC-DC Buck-Boost converter based on signal compensation and inner-outer convex combination optimal control

This paper considers the constrained reliable tracking control problem for a class of Buck-Boost converters. The proposed control strategy is consisted of four parts. First, a signal compensation policy is designed to eliminate the influences from fault/attack and unknown disturbances. Second, an inner robust tracking control policy is designed to basically guarantee the closed-loop stability of tracking error systems when the constraints are not activated. Third, an outer feasible control is constructed based on invariant set theory and it is used to guarantee the feasibility of whole control law. Fourth, the convex combination optimization method is applied to optimize the constrained control performance. It should be noted that this method only involves a linear programming, which has less online computation burden than the conventional predictive control method. Finally, the effectiveness of such reliable control strategy is validated by a simple numerical example.