We consider the exponential stabilisation for a thermo-elastic system of type II with nonuniformly bounded external disturbances in the boundary control. We begin with finding feedback controls for the system without disturbances by Lyapunov function approach. Then, based on the resulting feedback control, we give new dynamic feedback control laws that make the system exponentially stable by tracking disturbances exponentially through a time-varying high gain observer. We apply the linear operator semi-group theory to prove the well-posedness of the resulting closed system. Finally, we prove that the solution of the closed-loop system can approach zero polynomially or exponentially by the Lyapunov function approach.