Summary: Bounded Control of Multiple­Delay Systems with
Applications to ATM Networks #
Sophie Tarbouriech # , Chaouki T. Abdallah ## , and Marco Ariola ###
# L.A.A.S ­ C.N.R.S, 7 Avenue du Colonel Roche, 31077 Toulouse cedex 4, FRANCE.
E­mail: tarbour@laas.fr
## Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, USA.
chaouki@eece.unm.edu
### Dipartimento di Informatica e Sistemistica, Universit‘a degli Studi di Napoli Federico II, Napoli, ITALY.
ariola@unina.it.
Abstract
Congestion control in the Available Bit Rate (ABR) class of Asynchronous Transfer Mode (ATM)
networks poses interesting challenges due to the presence of multiple­delays, magnitude and rate
constraints on the inputs, amplitude limitation on the state, and additive disturbances. In this paper,
we consider a fixed­structure controller for an ATM/ABR network, and solve a robust tracking control
problem in which the target is a threshold on the queue level.
Keywords: Congestion control, data networks, magnitude and rate amplitude bounds, multiple
delays, tracking problem, ATM, ABR, QoS.
1 Introduction
The transmission of multimedia tra#c on the broadband integrated service digital networks (B­ISDN)
has created the need for new transport technologies such as Asynchronous Transfer Mode (ATM). Briefly,

Source: Abdallah, Chaouki T- Electrical and Computer Engineering Department, University of New Mexico

Collections: Engineering