Block Implementation of Two-Time Scale Discrete-Time Systems and its Relation to multirate composite control

Block Processing technique is applied to a class of two-time scale linear discrete-time systems. Block state-space structures for slow and fast subsystems have been obtained. Based upon these models blocked slow and fast controls are designed. An extra control is designed to exactly compensate for the effects of the parasitics. In addition, the relation between the block processing and the multirate composite control is given which shows the general nature of the proposed method.