Title
Designing stable ABR flow control with rate feedback and open-loop control: first-order control case
Abstract
In this paper we present a control-theoretic approach to design stable rate-based flow control for ATM ABR services. The flow control algorithm that we consider has the most simple form among all the queue-length-based flow control algorithms, and is referred to as first-order rate-based flow control (FRFC) since the corresponding closed loop can be modeled as a first-order retarded differential equation. We analyze the equilibrium and the asymptotic stability of the closed loop for the case of multiple connections with diverse round-trip delays. We also characterize the asymptotic decay rate at which the stable closed loop tends to the equilibrium. The decay rate is shown to be a concave function of control gain with its maximum being the inverse of round-trip delay. We also consider an open loop control in which the queue control threshold is dynamically adjusted according to the changes in the available bandwidth and the number of connections. This open loop control is shown to be necessary and effective to prevent the closed loop from converging to an undesirable equilibrium point.
Year
DOI
Venue
1998
10.1016/S0166-5316(98)00037-6
Performance Evaluation
Keywords
Field
DocType
abr flow control,first-order control case,rate feedback,fairness,asymptotic stability,explicit rate allocation,open-loop control,atm networks,stable abr flow control,circuits,asynchronous transfer mode,computer aided software engineering,steady state,open loop systems,decay rate,open loop control,differential equation,first order,feedback,flow control,equilibrium point,algorithm design and analysis,queueing theory
Differential equation,Control theory,Computer science,Queue,Closed-loop transfer function,Equilibrium point,Real-time computing,Bandwidth (signal processing),Exponential stability,Flow control (data),Open-loop controller
Journal
Volume
Issue
ISSN
34
4
Performance Evaluation
Citations 
PageRank 
References 
10
4.98
11
Authors
3
Name
Order
Citations
PageRank
Song Chong12113143.72
Ramesh Nagarajan2552136.40
Yung-terng Wang329960.29