Robust power allocation with SINR target based on Lyapunov stability approach for cognitive radio networks

The robust power allocation problem is often solved by different optimization approaches under a convex optimization model. But in this study, we use a distributed projected dynamic system (PDS) to describe this model and realize power allocation by designing a stable controller using Lyapunov function and linear matrix inequality (LMI) for the PDS. The controller can follow our defined target SINR and keeps the quality of service (QoS) required by primary user (PU) under the channel and the interference uncertainties (including feedback error). The simulation results illustrate that our proposed controller can realize power allocation with better performance compared with iterative waterfilling algorithm (IWFA).