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Journal Articles International Journal of Robust and Nonlinear Control Year : 2017

A consensus approach to PI gains tuning for quality-fair video delivery

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Laura Dal Col
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Luca Zaccarian
Michel Kieffer

Abstract

In this paper we provide necessary and sufficient conditions for the quality-fair delivery of multimedia contents to mobile users. We control the encoding rates and the transmission rates of the video streams, delivered through a limited capacity channel. This problem is cast into a problem of consensus among identical discrete-time linear systems, connected through a network with fixed and fully connected topology. The information exchanged over the communication network is the measure of the quality of the encoded videos. Based on a consensus result for identical linear systems, we reduce the problem of designing the Proportional and Integral (PI) gains of the encoding rate and transmission rate controllers to a linear static output feedback. We propose an iterative design technique based on linear matrix inequalities to solve the corresponding nonconvex problem, thereby providing a constructive optimality-based approach to the PI gains tuning problem. We demonstrate the effectiveness of our method in simulations, where we compare it to pre-existing approaches.
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Dates and versions

hal-01576615 , version 1 (23-08-2017)

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Laura Dal Col, Sophie Tarbouriech, Luca Zaccarian, Michel Kieffer. A consensus approach to PI gains tuning for quality-fair video delivery. International Journal of Robust and Nonlinear Control, 2017, 27 (9), pp.1547-1565. ⟨10.1002/rnc.3739⟩. ⟨hal-01576615⟩
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