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Congestion control in connection-oriented data transmission networks

Ignaciuk P.

Zeszyty Naukowe. Elektryka / Politechnika Łódzka

2009

z. 117

5-12

In this paper formal, control-theoretic methods are applied to design an efficient congestion control algorithm for modern connection-oriented data transmission networks. The design is based on the principles of discrete-time sliding-mode control and linear-quadratic optimal control. The asymptotic stability of the closed-loop system with the designed controller implemented is demonstrated, and the conditions for achieving the maximum throughput in the networks are defined.

W pracy zaprojektowano nowy algorytm sterowania przepływem danych dla połączeniowych sieci teleinformatycznych. Do tego celu wykorzystano zaawansowane metody teorii sterowania - dyskretne sterowanie ślizgowe oraz dyskretne sterowanie optymalne z kwadratowym wskaźnikiem jakości. Pokazano, że zaproponowany algorytm pozwala wyeliminować ryzyko gubienia danych przy jednoczesnym pełnym wykorzystaniu dostępnego pasma.

Feedback control for time-varying descriptor systems.

Kurina GA.

Systems Science

2000

Vol. 26, nr 3

47-59

The control in the feedback form and the optimal cost are obtained for different linear-quadratic optimal control problems by time-varying descriptor systems in Hilbert space. For that purpose the operator which is the solution of the operator Riccati equation is used. This operator acts in all state space, unlike the operator in the subspace in the case of a singular operator before the derivative, which determines an optimal control with the help of part of the state variable. In contrast to previous works of other authors the regularity of the pencil of operators from the state equation is not required. At the end of the paper the feedback control for linear-quadratic optimal control problems with the degenerate Legendre condition is considered.