The invention discloses a
wireless sensor network topological control method based on potential games. A
network model is determined, and a sensor network is expressed by a planar
topological graph, and a connected network is determined, and then a TCBPG is established. According to the TCBPG, a payoff function of the game is determined to guarantee a Nash
equilibrium solution existing in the game, and the TCBPG is defined as an ordinal potential game. After the TCBPG is determined according to the above mentioned steps, a distributed
energy consumption equalization topological
control algorithm is realized, and is divided into a neighbor discovering phase, a game executing phase, and a topology maintaining phase, and then a stable
wireless sensor network topological structure is acquired. From a
power control and
energy consumption equalization angle,
residual energy of nodes and
transmitted power of nodes are comprehensively considered to design a new utility function, and a distributed topological
control algorithm based on the potential games is provided. According to theoretical analysis and
simulation results, the topology constructed by the
algorithm is capable of realizing the Nash equilibrium, and is capable of guaranteeing the good characteristics of the network such as
connectivity and
energy consumption equalization, and therefore the life cycle of the network is prolonged.