Intervalwise receding horizon H∞ tracking control for discrete linear periodic systems

A fixed-horizon H_∞ tracking control (HTC) for discrete time-varying systems is obtained via dynamic game theory in the state-feedback case. From HTC, an intervalwise receding horizon H_∞ tracking control (IHTC) for discrete periodic systems is suggested using the intervalwise strategy. The conditions under which IHTC stabilizes the closed-loop system are proposed. Under the proposed stability conditions, it is shown that IHTC guarantees the H_∞-norm bound and that IHTC with integral action provides zero offset for a constant command signal. The performance of IHTC is compared with that of RHTC via simulation studies for a discrete periodic system