Premium
Effects of control loop delay on the stability of a rate control algorithm
Author(s) -
Aweya James,
Montuno Delfin Y.,
Ouellette Michel
Publication year - 2004
Publication title -
international journal of communication systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 49
eISSN - 1099-1131
pISSN - 1074-5351
DOI - 10.1002/dac.678
Subject(s) - stability (learning theory) , control theory (sociology) , loop (graph theory) , computer science , upper and lower bounds , control (management) , control system , domain (mathematical analysis) , process (computing) , mathematics , mathematical analysis , engineering , combinatorics , machine learning , electrical engineering , operating system , artificial intelligence
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.