H2Performance Limitation of Congestion Controller for TCP/AQM Network Systems

Author

Tsumura, Koji ; Hara, Shinji ; Nakajima, Atsushi

Author_Institution

Department of Information Physics and Computing, The University of Tokyo, Hongo 7–3–1, Bunkyo-ku, Tokyo 113–8656, Japan, tel: +81–3–5841– 6891, fax: +81–3–5841–6886, e-mail: tsumura@i.u-tokyo.ac.jp

fYear

2005

fDate

12-15 Dec. 2005

Firstpage

6768

Lastpage

6773

Abstract

In this paper, we deal with congestion control of one bottleneck type for TCP/AQM network systems and investigate the H2control performance limitation. To this end, we first represent the dynamics of the congestion window size at source nodes and the queue length at the bottleneck link by a discrete time model. We then prove the stability of the plant and provide the Youla parametrization of all stabilizing controllers. With this parametrization, we consider an H2optimization problem of the queue length at the bottleneck link. We derive an explicit form of the best achievable H2norm and discuss the control performance limitation with respect to the ratio of the transmission time of the packets from source nodes to the link and the round trip time.

Keywords

TCP network system; Youla parametrization; congestion control; performance limitation; Closed loop systems; Computer networks; Control system synthesis; Control systems; IP networks; Network synthesis; Optimal control; Protocols; Relays; Stability; TCP network system; Youla parametrization; congestion control; performance limitation;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Print_ISBN

0-7803-9567-0

Type

conf

DOI

10.1109/CDC.2005.1583250

Filename

1583250