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Discrete-time linear-quadratic (LQ) optimal and nonlinear flow control in multi-source connection-oriented communication networks

✍ Scribed by Ignaciuk, Przemysław ;Bartoszewicz, Andrzej


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
231 KB
Volume
20
Category
Article
ISSN
1124-318X

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✦ Synopsis


Abstract

In this paper, control theoretic approach is applied to design a new, optimal flow controller for multi‐source connection‐oriented communication networks. The networks are modelled as discrete time, __n__th order systems. On the basis of the system state space description, a feedback control law is derived by minimising a quadratic cost functional. The proposed analytical solution to the optimisation problem allows the expression of control law in a closed form, which is simple in implementation and guarantees efficient rate computations. Afterwards, nonlinearity is introduced into the basic controller operation, which limits the transmission rates to the network transfer capabilities. The closed‐loop system stability of the obtained solution is demonstrated, and conditions for data loss elimination and full bandwidth usage at the node implementing the designed algorithm are presented, and strictly proved. Copyright © 2009 John Wiley & Sons, Ltd.