This technical note deals with the problem of parameterizing the class of deadbeat controllers for a given system through the minimum of parameters. It is shown that ifnandmare dimensions of the state vector and control vector, respectively, and the μi's are the controllability indexes, then almost the whole class of deadbeat controllers is explicitly parameterizable throughmn-μ₁ - 3μ₂ - ... -(2m - 1)μₘparameters.
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M. Schlegel (1982) studied this question.
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