An improved general algorithm for arbitrary pole assignment

A new pole-placement algorithm for multi-input controllable systems is presented. The algorithm can be used to obtain real-valued feedback gains for arbitrarily specified real and complex, distinct or multiple eigenvalues. The multi-input controllable time-invariant system is converted to a single-input system. Pole assignment is achieved by making use of certain properties of the equation
TF - AT = D
, where
A
is the open-loop system matrix and
F
represents a matrix having the desired closed-loop eigenvalues.