IEEE Transactions on Automatic Control, Vol.51, No.9, 1554-1558, 2006
On pole placement via eigenstructure assignment approach
This note comes back to the hard problem of pole placement by static output feedback: let a triplet of matrices {A; B; C} be given with n state variables, m inputs and p ouputs, find a matrix K such that the spectrum of A+ BKC equals a specified set. When mp > m+p, a simple noniterative technique based upon the notion of eigenstructure that, in most cases, assigns m + p roots is proposed. It, therefore, enables the designer to assign the whole of the desired spectrum when m + p = n < mp.