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The general methods to design induction motor torque and speed controller are analyzed based on passivity-based control (PBC) methods. In order to accelerate the response of system, a constant damping is injected into passivity-based controller, which will lead to the speed fluctuation in the period of arriving stable state currently. To overcome the disadvantage a new control strategy is presented in, where the flexible damping is added into the controller. Flexible damping can be achieved by using second order tracking differentiator (SOTD) to restrain the fluctuation. The strategy can make dynamic performance more optimum and torque and speed tracking effect better. The simulation results demonstrate the feasibility of this strategy.