Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance

As streaming videos are becoming increasingly popular, it is important to understand the end-to-end streaming system and to develop effective algorithms for quality control. In this paper, we address the problem of rate control for streaming videos with a control-theoretic approach. Among the various control knobs, video bit rate is one of the most effective in the sense that it has a direct impact on the interaction between the video coder and network system. While increasing rate reduces the coder-induced distortion, it may also cause congestion at a bottleneck link. The packet loss due to congestion will, then, increase the distortion of the decoded video. We model end-to-end video steaming as a feedback control system, taking into account video codec and sequence characteristics, rate control, active queue management, and receiver feedback. We then develop effective proportional (P) controllers to stabilize the received video quality as well as the bottleneck link queue, for both homogeneous and heterogeneous video systems. Simulation results are presented to demonstrate the efficacy of the P controllers and the viability of the proposed control-theoretic approach.

/pdf/a-control-theoretic-approach-to-rate-control-for-streaming-21y2lrrt26.pdf

A Control-Theoretic Approach to Rate Control for Streaming Videos

Design of feedback controller for TCP/AQM networks

In this paper, a performance constraint control problem is considered for Transmission Control Protocol/Active Queue Management (TCP/AQM) network with external disturbance and input saturation. On the basis of backstepping-like design procedure and fuzzy approximation technique, an adaptive fuzzy controller with prescribed constraint is achieved to ensure that the transient and steady state performances of the tracking errors can be satisfied. The stability analysis proves that all the signals in the closed-loop system are semi-globally, uniformly and ultimately bounded. The simulation results clarify the feasibility and effectiveness of the proposed approach.

Adaptive fuzzy funnel congestion control for TCP/AQM network.

Active queue management based feedback control for TCP with successive delays in single and multiple bottleneck topology

http://bbcr.uwaterloo.ca/~xshen/paper/2009/pre_saombn.pdf

Stability analysis of multiple-bottleneck networks

http://www.ece.uvic.ca/~cai/comnet-stability.pdf

Stability and TCP-friendliness of AIMD/RED systems with feedback delays

The Additive Increase and Multiplicative Decrease (AIMD) congestion control algorithm of TCP protocol deployed in the end systems and the Random Early Detection (RED) queue management scheme deployed in the intermediate systems contribute to Internet stability and integrity. Previous research based on the fluid-flow model analysis indicated that an AIMD/RED system may not be asymptotically stable when the feedback delays or the link capacity becomes large [3]. However, as long as the system operates near its desired equilibrium, small oscillations are acceptable and the network performance is still satisfactory. Deriving the bounds of these oscillations for the heterogeneous AIMD/RED system with time delays is non-trivial. In this paper, we study the practical stability of the AIMD/RED system with heterogeneous flows and feedback delays, and obtain theoretical bounds of the AIMD flow window size and the RED queue length, as functions of number of flows, link capacity, RED queue parameters, and AIMD parameters. Numerical results with Matlab and simulation results with NS-2 are given to validate the correctness of the theorems and demonstrate the tightness of the derived bounds. The analytical and simulation results provide important insights on which system parameters contribute to higher oscillations of the system and how to set system parameters to ensure system efficiency with bounded delay and loss.

Practical Stability and Bounds of Heterogeneous AIMD/RED System with Time Delay

https://www.ece.uvic.ca/~cai/paper/comnet-09-bound.pdf

Bounds estimation and practical stability of AIMD/RED systems with time delays

AIMD/RED (additive increase and multiplicative decrease/random early detection) systems with multiple- bottleneck links are becoming more and more common in the vast-scale Internet. In this paper, we develop a mathematical model of AIMD/RED systems with multiple bottlenecks and feedback delays, which can be brought into the frame of singularly perturbed systems. Stability properties of multiple- bottleneck systems are studied by applying the techniques for singularly perturbed systems. Delay-dependent LMI (Linear Matrix Inequalities) criteria for the stability of singularly perturbed AIMD/RED systems with multiple bottlenecks are obtained, and the existence of the sufficiently small parameters that guarantee the asymptotic stability of the system considered above is also demonstrated. Numerical results with Matlab and simulation results with NS-2 are given to validate the analytical results.

Delay-Dependent Stability Analysis for Large-Scale Multiple-Bottleneck Systems Using Singular Perturbation Approach

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