Abstract
Abstract Output injection feedback is a special kind of pole-positioning mechanism whereby linear combinations of the output measurements are fed directly into the plant's state. Using this mechanism, arbitrary closed-loop pole assignment can be achieved so long as the plant is completely observable. In the event that output injection feedback is not possible, a dual-observer-based compensator can be used to realize the pole-positioning effect of output injection. In this paper, we consider discrete-time systems and derive the equivalent dual-observer-based compensator, herein termed a single-rate input compensator. Further, we explore the concept of multirate input sampling and show that a multirate input compensator (employing multirate sampling of the plant input) of dimension much smaller than that of the single-rate input compensator (employing single-rate input sampling of the plant input) can be designed. Necessary and sufficient conditions for the existence of both types of compensators are found....
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