Implementation of tracking controls for constrained discrete time-varying systems via receding horizon strategy

A receding horizon tracking control (RHTC) scheme is proposed for input and tracking-error constrained linear discrete time-varying systems. The control scheme is based on the minimization of a finite horizon cost function with finite terminal weighting matrices, which can easily be implemented by using linear matrix inequality optimization. The proposed RHTC scheme is discussed in terms of the asymptotic property, feasibility, and closed-loop stability. It is shown that imposing the zero control weighting matrix can guarantee the asymptotic property and feasibility for some special systems and tracking commands, and the closed-loop stability for discrete-time systems.