Bilinear rotations like BIRD, TANGO, BANGO, and BIG-BIRD are essential building blocks in modern nuclear magnetic resonance (NMR) spectroscopy that allow the rotation of an isolated spin without couplings (i.e., bilinear interactions) in one way, while rotating spins with a matched coupling in another way. Two ways for constructing particularly robust bilinear rotations (compensated for couplings, offsets, and B1 inhomogeneities, or COB/COB3) are provided and demonstrated in both theory and experiment.