A New Technique for Partial Pole Placement using Constant Output-Feedback

A new 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_’ new method. Here n is the order_’ of the system, and φ Δ max(m,ℓ) + ⌊max(m, ℓ)/2⌋ +... + ⌊max(m ℓ)/min (m,ℓ)⌋ where m and C are the number of inputs and outputs, respectively, and 1.1 denotes the nearest integer lower than or equal to (ie. 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.