Why Do Stabilizing Controllers Stabilize

摘要

In the past the notion of a stabilizing controller has been formulated in termsof transfer functions that are related to a standard closed loop diagram. One of the aims of this paper is to show that the behavioral approach provides the intuition behind this classical notion: it enables an interpretation of the requirement of closed loop stability in terms of the trajectories of plant and controller. In particular, this holds true for the requirement of properness of the closed loop transfer function. In the second part of the paper, a parametrization is given of all controllers that give rise to a given closed-loop behavior with a given plant.