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Maintaining QoS (quality of service) guaranteed communication links, and improving the energy consumption; are two aspects that received a significant consideration in the modern wireless sensor network research. This paper formulates a transmission power control problem which satisfies both considerations mentioned above. Moreover, a class of functions for an iterative controller was introduced and analyzed for its convergence. The experimental evaluation of the controller justifies the theoretical assertions as well as the applicability of the control scheme in wireless nodes with minimum measurement capabilities.