A Stability of High Order Distributed Power Control Algorithms in Cellular Networks

• In radio resource management for cellular networks a trade-off has to be made between the congestion level, related to the cell coverage and the intercell interference, and the Quality of Service (QoS), or data rates of the users. This is implemented by using a fast inner power control algorithm and an outer rate control algorithm, working on a slower time scale. Due to the distributed nature of the network, both the information and the control are distributed. Measurements of the congestion and the QoS are used in the control algorithms and this introduces a nonlinear feedback. Another complicating factor is that filtering, computations and information exchange in the network introduce time delays. In this paper we propose a general high order model as a cascade system with an outer and inner control loop. The control algorithms use distributed information available in the network. The full system model includes the nonlinear feedback from congestion and QoS measurements, time delays and time-scale modeling. We provide sufficient conditions for stability and convergence of the system. Our primary analysis tool is input output theory.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

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