The eigenstructure assignment of deadbeat control systems

All the available freedom in selecting the closed-loop Jordan block structure associated with deadbeat controllers is described and the parameters associated with this freedom are characterized. It is shown that in general one has freedom in selecting the Jordan block structure as well as the eigenvectors of deadbeat controllers. Although in general the feedback matrix is a nonlinear function of the eigenvectors that are assigned it is shown that for one important Jordan block structure the deadbeat controller feedback matrix is a linear function of the parameters of the system. The feedback matrix of minimum norm is then calculated for this special case.