Potential feedback control for the power control in wireless sensor networks

The aim of this study is to develop a new feedback stabilisation strategy involving a non-linear potential feedback control (PFC) for scalar discrete-time systems with disturbances by using Lyapunov functions. The main interest of the PFC is to achieve the stabilisation with a constraint on the state space. The authors apply this strategy for the uplink power control in a real wireless sensor network and compare with the adaptive transmission power control (ATPC) usually used in telecommunications. A study of the energy saving is also provided.