Robust stability analysis of Smith predictor-based congestion control algorithms for computer networks

Congestion control is a fundamental building block in packet switching networks such as the Internet due to the fact that communication resources are shared. It has been shown that the plant dynamics is essentially made up of an integrator plus time delay and that a proportional controller plus a Sm...

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Published inAutomatica (Oxford) Vol. 47; no. 8; pp. 1685 - 1692
Main Authors De Cicco, Luca, Mascolo, Saverio, Niculescu, Silviu-Iulian
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.08.2011
Elsevier
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Online AccessGet full text
ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2011.02.036

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Abstract Congestion control is a fundamental building block in packet switching networks such as the Internet due to the fact that communication resources are shared. It has been shown that the plant dynamics is essentially made up of an integrator plus time delay and that a proportional controller plus a Smith predictor defines a simple and effective controller. It has also been shown that the TCP congestion control can be modelled using a Smith predictor plus a proportional controller. Due to the importance of this control structure in the field of data network congestion control, we analyse the robust stability of the closed-loop system in the face of delay uncertainties that are present in data networks due to queuing. In particular, by applying a geometric approach, we derive a bound on the proportional controller gain which is necessary and sufficient to guarantee the closed-loop stability for a given bound on the delay uncertainty.
AbstractList Congestion control is a fundamental building block in packet switching networks such as the Internet due to the fact that communication resources are shared. It has been shown that the plant dynamics is essentially made up of an integrator plus time delay and that a proportional controller plus a Smith predictor defines a simple and effective controller. It has also been shown that the TCP congestion control can be modelled using a Smith predictor plus a proportional controller. Due to the importance of this control structure in the field of data network congestion control, we analyse the robust stability of the closed-loop system in the face of delay uncertainties that are present in data networks due to queuing. In particular, by applying a geometric approach, we derive a bound on the proportional controller gain which is necessary and sufficient to guarantee the closed-loop stability for a given bound on the delay uncertainty.
Author De Cicco, Luca
Mascolo, Saverio
Niculescu, Silviu-Iulian
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Issue 8
Keywords Robust stability
Smith predictor
Congestion control
Time delay systems
Closed loop
Packet switching
Transmission protocol
Transmission control protocol
Resource sharing
Delay system
Computer control
Distributed system
Geometrical model
Bounded delay
Traffic management
Distributed control
Integrator
Delay time
Data field
Internet
Queue
Traffic congestion
Switching networks
Language English
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Snippet Congestion control is a fundamental building block in packet switching networks such as the Internet due to the fact that communication resources are shared....
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SubjectTerms Applied sciences
Automatic Control Engineering
Computer Science
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Congestion
Congestion control
Control systems
Delay
Dynamical Systems
Exact sciences and technology
Internet
Mathematics
Networks
Robust stability
Smith predictor
Software
Switching theory
TCP (protocol)
Time delay systems
Uncertainty
Title Robust stability analysis of Smith predictor-based congestion control algorithms for computer networks
URI https://dx.doi.org/10.1016/j.automatica.2011.02.036
https://www.proquest.com/docview/919915095
https://centralesupelec.hal.science/hal-00664395
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