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Parameterization of the class of deadbeat controllers

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1 Author(s)
Schlegel, M. ; National Corporation Škoda, Plzeň Czechoslovakia

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 if n and m are 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 through mn-\mu_{1} - 3\mu_{2} - ... -(2m - 1)\mu_{m} parameters.

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Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 3 )