Decoupling and Pole Placement in Linear Systems

Abstract

The problem is studied in this paper of pole placement with state feedback while preserving noninteraction
A modified canonical decoupled form of the system with r-inputs and m-outputs is first introduced and then it is shown that the number of assignable poles can be calculated Under a mild condition, a necessary and sufficient condition for existing a stable decoupled system is presented in terms of system invariant zeroes. A simple method to examine the stability of a decoupled system is also shown.