A new technique for partial pole placement using constant output-feedback

A technique is presented for partial pole placement of linear time-invariant systems. It is almost always possible to arbitrarily assign min(n, φ) poles using this method. Here n is the order of the system, and φ=Δmax(m,l)+[max(m,l)/2]+[max(m,l)/min(m,l)] where m and l are the number of inputs and outputs, respectively, and [.] denotes the nearest integer lower than or equal to (i.e. floor(.)). Only the normal procedures of linear algebra are required to implement the technique. We note that φ⩾m+l-1, which has been a long-standing barrier for linear algebra methods in the partial pole placement problem