A Straightforward Synthesis of Parametrization of State Deadbeat Controllers

Abstract

It is well-known that, for multivariable system, state feedback controllers which assign all the closed-loop eigenvalues to zeros are generally non-unique.
This paper presents a new synthesis for obtaining such controllers in the parametric form. The parametrization consists of only the free parameters, to which arbitrary value can be assigned, and is convenient to use for the other purpose. This design procedure is straightforward and can provide more extensive class of parametrization than previous results.