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.
## Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131, USA.
### Dipartimento di Informatica e Sistemistica, Universit‘a degli Studi di Napoli Federico II, Napoli, ITALY.
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.
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,