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Polynomial Control Systems (2014)

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6.6 Pole Assignment Using Output Feedback

Pole assignment using state feedback was presented in Sections 6.1-6.4. Here, pole assignment using output feedback is considered. Two algorithms are presented, which both require the system concerned to be both completely controllable and completely observable. The algorithms further require systems to be strictly proper, that is, the matrix D 0. The first algorithm generates a constant, or dynamic, dyadic output feedback compensator that assigns the closed-loop system poles to a desired set of values. The second algorithm generates a full-rank constant, or dynamic, output feedback compensator that assigns the closed-loop system poles to a desired set of values. With the latter algorithm, the degree of any dynamic compensator required is minimal.