2002
DOI: 10.1016/s0005-1098(01)00276-x
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Rate-based flow controllers for communication networks in the presence of uncertain time-varying multiple time-delays

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Cited by 100 publications
(107 citation statements)
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“…There is vast literature dealing with congestion control: for instance, in (Altman, Başar and Srikant, 1999), the congestion control problem is formulated as a stochastic control problem where the controls of different users are subject to different delays; in (Mascolo, 1999), the congestion control law is based on the Smith's principle; in (Quet et al, 2002), an H ∞ controller is designed guaranteeing stability robustness with respect to uncertain time-varying multiple time-delays; in (Tarbouriech et al, 2001), the congestion control problem is formulated as a robust tracking control problem, in which the target is a constant threshold on the queue length; in (Jagannathan and Talluri, 2002), a neural networkbased adaptive control methodology is developed to prevent congestion. We decided to develop a Smith predictor-based controller (see (Palmor, 1996)): in particular, we extended the algorithm in (Mascolo, 1999) to provide robust stability in the presence of time-varying delays, and we used the on-line delay estimates to render the controller adaptive; the reason of this choice is that the resulting control law is simple and easy to implement: this is a crucial requirement in the considered dynamic scenario.…”
Section: Edge Router Congestion Controlmentioning
confidence: 99%
“…There is vast literature dealing with congestion control: for instance, in (Altman, Başar and Srikant, 1999), the congestion control problem is formulated as a stochastic control problem where the controls of different users are subject to different delays; in (Mascolo, 1999), the congestion control law is based on the Smith's principle; in (Quet et al, 2002), an H ∞ controller is designed guaranteeing stability robustness with respect to uncertain time-varying multiple time-delays; in (Tarbouriech et al, 2001), the congestion control problem is formulated as a robust tracking control problem, in which the target is a constant threshold on the queue length; in (Jagannathan and Talluri, 2002), a neural networkbased adaptive control methodology is developed to prevent congestion. We decided to develop a Smith predictor-based controller (see (Palmor, 1996)): in particular, we extended the algorithm in (Mascolo, 1999) to provide robust stability in the presence of time-varying delays, and we used the on-line delay estimates to render the controller adaptive; the reason of this choice is that the resulting control law is simple and easy to implement: this is a crucial requirement in the considered dynamic scenario.…”
Section: Edge Router Congestion Controlmentioning
confidence: 99%
“…Furthermore, since the design approach in [9] is for SISO systems, the controller was designed for the multiple delays considering the longest delay and equalizing the delays in the other channels to the longest one. The case of uncertain time-varying multiple time-delays was later considered in [19], where a rate-based flow controller was designed, which is robust to variations in such delays. However, in [19], the controller was obtained by defining separate H ∞ control problems for each channel.…”
Section: Introductionmentioning
confidence: 99%
“…The case of uncertain time-varying multiple time-delays was later considered in [19], where a rate-based flow controller was designed, which is robust to variations in such delays. However, in [19], the controller was obtained by defining separate H ∞ control problems for each channel. The solutions to these problems were then weighted and blended to obtain the overall controller.…”
Section: Introductionmentioning
confidence: 99%
“…Then because of (16)(17)(18)(19)(20) above, S1(n+1) and S2(n+1) hold true by exactly the same steps of Case 2 in proof of Theorem 1 except that "q" gets replaced by " q ) " and the first expression " ( ) ( ) 0 q n C n > ≥ " gets replaced by " ( ) 0 q n ≥ ) ".…”
Section: Inductionmentioning
confidence: 87%
“…[6] derives stochastic optimal control policies assuming Markovmodulated capacity variations. [20] designs robust controllers to handle uncertain and heterogeneous network delays, but assumes linear operation too.…”
Section: Related Workmentioning
confidence: 99%