Abstract
Stabilization of a linear time-invariant single-input single-output plant with a variable operating condition is considered. The plant is represented as an interpolation of two nominal models described by proper stable factorizations of their transfer functions. An interpolation of stabilizing controllers for the nominal plant models is applied to the interpolated plant. The stabilization problem is reduced to a Nevanlinna-Pick interpolation problem, and the necessary and sufficient condition is derived for the existence of a stabilizing controller. It is shown that the class of systems stabilizable by interpolated controllers is larger than that stabilizable by fixed controllers.
