In this paper, an X-Y platform driven by shape memory alloys is constructed, featuring simple mechanism design, low power consumption and low cost. Shape memory alloy can undergo thermoelastic martensitic transformation by increasing the temperature above a certain level, hence producing pulling force to drive the platform. An optical sensor is used to track the movements of the platform, which are then sent to a digital signal processor. Adaptive fuzzy sliding mode controller, whose parameters are tuned online by the gradient descent method, is employed for optimal tracking control of the X-Y platform.