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

James Aweya, Delfin Y. Montuno, Michel Ouellette · International Journal of Communication Systems · 2004

Abstract This paper presents exact stability analysis of a rate control algorithm described inPerform. Eval.2001;43(2–3):63–94;Int. J. Commun. Systems2001;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 Aweyaet 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 delaydincreases, 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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