Abstract
In this paper singular perturbation methods are used to provide a basis for the design of tracking systems for a class of multivariable linear plants whose time-domain behaviour exhibits both slow and fast modes and whose output vectors are required to track polynomial command input vectors. These results accordingly constitute a generalization of those previously obtained by Porter (1976) for plants with step command inputs and are illustrated by designing a tracking system for a second-order plant which is required to track a ramp command input.

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