In this paper, a xed-horizon H 1 tracking control (HTC) for discrete time-varying systems is obtained via the dynamic game theory in state-feedback case. From HTC, an intervalwise receding horizon H 1 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 proposed stability conditions, it is shown that IHTC guarantees the H 1-norm bound and that IHTC with integral action provides zero o set for a constant command signal. The performance of IHTC is compared with that of RHTC via simulation studies for a discrete periodic system.
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