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Effects of control loop delay on the stability of a rate control algorithm

✍ Scribed by James Aweya; Delfin Y. Montuno; Michel Ouellette

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 345 KB
Volume: 17
Category: Article
ISSN: 1074-5351
DOI: 10.1002/dac.678

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✦ Synopsis

Abstract

This paper presents exact stability analysis of a rate control algorithm described in Perform. Eval. 2001; 43(2–3):63–94; Int. J. Commun. Systems 2001; 14(6):593–618. The stability regions of the rate control process in the presence of control loop delay are analysed. The rate control process is represented by delay‐difference equation and the criteria for asymptotic stability are derived in terms of the control parameters and control loop delay. The analysis shows that the approximate upper bound of the control gain derived in Aweya et al. is very close to the exact bound developed here. Using theoretical calculations performed in the discrete‐time domain, we show that as the feedback time delay d increases, the intensity of control (i.e. the control gain α) must decrease in order for the system to remain stable. Copyright © 2004 John Wiley & Sons, Ltd.

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