We studied dynamics of spiral waves subjected to a feedback control, where the feedback signal is obtained with integral in an annular region.As the annular region is circular, the spiral tip usually enters a circular attractor after a transient drift, and radius of the attractor varies periodically with parameters of the annular region.With the change of these parameters, drift direction of the spiral tip at the beginning of feedback also has a periodic change.In the phase of transient drift, modulus function of the complex feedback signal is bell-shaped, and the steepness of the bell is related to the smoothness of the drift trajectory.The sign and value of the feedback gain affect the dynamical behavior of the controlled spiral.As the annular region is square, final attractors of the spiral tip are more abundant, including mainly square attractor, limit circle attractor with small amplitude, diamond attractor and point attractor, where the point attractors are usually on the diagonal lines of the square.Here, trajectory of the spiral tip has a regular change with control parameters of the annual region as well.