H∞ model reduction of singularly perturbed control systems

In this paper, the problem of H
∞
model reduction for singularly perturbed control systems is investigated. A new algorithm based on the slow-fast decomposition of the original system is suggested to obtain the reduced-order model. The associated model reduction error meets a prescribed H
∞
norm bound constraint and the two-time-scale property of the original singularly perturbed control system is retained in the reduced-order model. A numerical example is presented to show the effectiveness of the model reduction method.