Structural Properties of Discrete Systems with Slow and Fast Modes

摘要

Structural properties of linear, discrete control systems with slow and fast modes are investigated. The time-scale separation is expressed in terms of a matrix norm condition. It is shown that the asymptotic stability and controllability properties of the discrete two-time-scale systems are deduced from the corresponding properties of two appropriately defined lower-order systems. The controllability invariance of the slow subsystem due to a class of fast feedback controls is demonstrated. A lower-order feedback control is derived to stabilize the original discrete system and the theoretical analysis is illustrated by a fifth-order power system model.