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This paper deals with the linear model-following control (LMFC) of a class of discrete systems which have the two-time-scale (TTS) property. It is shown that, under certain sufficient conditions, the proposed reduced-order LMFC can force the slow subsystem of the plant to follow the stable model asymptotically. Both state feedback and observer-based feedback control are considered. An example [8] is used to demonstrate the derived schemes. The design algorithms of the controllers are summarized in the conclusion.

Stabilization problem of discrete two-time-scale systems via block implementation is considered in this paper. Block dynamical equations for the original system and slow and fast subsystems are examined. It is shown that the eigenvalue assignment problem for subsystems, both in state and output feedback cases, can be exploited to stabilize the full system by adding certain extra compensators.