Summary: Bounded Control of Multiple-Delay Systems with
Applications to ATM Networks
, 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 multiple-delays, magnitude and rate
constraints on the inputs, amplitude limitation on the state, and additive disturbances. In this paper,
we consider a fixed-structure controller for an ATM/ABR network, and solve a robust tracking control
problem in which the target is a threshold on the queue level.