Composite shell structures can self-deploy through the release of stored strain energy when elastically folded under stowage. Uncontrolled deployment of such structures could lead to prolonged disordered motion, self-entanglement, collision, or damage. Therefore, control mechanisms are necessary to enable coherent and reliable deployment paths. This paper demonstrates the efficacy of actively controlling the freely unfolding motion of a cantilevered composite tape spring with piezoelectric actuators called Macro Fiber Composites (MFC). The cross-sectional curvature of the tape spring near its fixed root is actively manipulated with voltage actuation from the bonded MFCs. Both unimorph and bimorph configurations are investigated. Implicit finite element analysis with experimentally tuned viscous damping simulates both the uncontrolled and piezoelectrically controlled dynamic deployment of a composite tape spring with a single localized fold. The active control scheme results in a significant attenuation of the fold propagation behavior during deployment with a reduction in the total deployment duration of up to 26.7%. The bimorph configuration is found to inhibit the fold movement more effectively than the unimorph actuator, enough to keep it nearly stationary, due to the increased actuation authority over the transverse curvature of the tape spring.