Measuring Distance between Systems under Bounded Power Excitation

Abstract

This work suggests a way of measuring distance between two linear systems under a given bounded power excitation. The measure introduced can be used to bound from above and below the difference in closed-loop behavior of two plants with the same controller for a specified reference or disturbance spectrum. Given an unknown, single input real plant and its identified model, an upper bound on the distance between the plant and its model as expressed by this measure can be obtained from time domain data.