Control systems engineering
Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
Fair end-to-end window-based congestion control
IEEE/ACM Transactions on Networking (TON)
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We study the stability of two queueing delay-based congestion control algorithms, the (p, 1)-proportionally fair algorithm and the global optimization algorithm. We linearize the systems around the intended operating point and show that these algorithms are stable within a range of feedback delay. Based on these linearized systems we study the impact of various (cascade) compensators on the system. We show that the PID control improves the transient behavior of the system. We simulate both the linearized system and non-linear system and illustrate the validity of the analysis and improvement in the system behavior with compensators.