— Energy of Wheeled Mobile Robot (WMR) is usually supplied by batteries with finite energy. In order to extend run-time of battery-powered WMR, it is necessary to minimize the energy consumption. The energy is dissipated mostly in the motors, which strongly depends on the velocity profile. This paper investigates energy efficiency for typical 3-step velocity control methods to minimize a new energy object function which considers practical energy consumption dissipated in motors related to motor dynamics, velocity profile, and motor control input. We performed analyses on energy consumption for the four typical 3-step velocity profiles: S-C-S, T-C-T, S-C-T, and T-C-S (S is an acceleration/deceleration section by step control input, T is an acceleration/deceleration section by acceleration/deceleration phase of trapezoidal velocity profile, and C is a cruise section with a constant velocity). Also we suggested an efficient iterative search algorithm with binary search which can...