Stabilizing I/O receding horizon control

Abstract
Generalized-predictive-control- (GPC-) type laws are developed in order to obtain a guaranteed stable closed-loop system. The design methodology consists of an input/output receding-horizon control strategy based on the minimization of a multistep quadratic cost under the constraint that the terminal state vanish. The resulting control law, denominated SIORHC, provides stabilizing feedback gains for finite-horizon cost criteria. A special case under which GPC and SIORHC coincide, and hence GPC is proved to yield stability, is also discussed.