This paper presents a comprehensive review of current control techniques suitable for a Cascade H-Bridge STATCOM. Particularly, four different approaches are evaluated in this work: a linear strategy using Proportional Integral controllers in the dq frame, an exact input/output linearization technique with Proportional-Resonant controllers, a multiband hysteresis modulation control, and a predictive control scheme. The main advantages and drawbacks of each scheme are depicted in terms of stationary and dynamic performance, as well as harmonic content, complexity, and computational burden. The presented results are supported with simulated waveforms that highlight the main features of each control method.