The energy tracking problem for the onedimensional sine-Gordon equation with dissipation via boundary control is posed. With the use of the Speed-Pseudogradient method we design a family of control laws for solving this problem. An estimate of the tracking error via the derivative of a prespecified time-varying energy level is obtained. The convergence of the tracking error to zero is proved under the assumptions that the dissipation is absent and the derivative of the prespecified energy level eventually vanishes.