This paper deals with torque command generation using single gimbal control moment gyros. The angular momentum and torque envelopes are assumed to be known a priori. A method based on back integration of the gyro torque equation from desired final conditions is used to determine a family of initial gimbal angles that avoid singularities. Each member of this family is defined as a preferred initial gimbal angle set. The pseudoin- verse steering law is used during the numerical integrations. This procedure is demonstrated by means of numerical examples that include attitude control and momentum management of the Space Station Freedom. A feedback control scheme based on null motion is also developed to position the gimbals at preferred angles. ONTROL moment gyros (CMGs) are attractive space- craft attitude-control devices. They require no expendable propellant, which is a limited resource and can contaminate the spacecraft environment. Their fixed rotor speeds minimize structural dynamic excitations. They can be used for rapid slewing maneuvers and precision pointing. For low Earth or- biting spacecraft, momentum dumping can be easily achieved by gravity-gradient torques. From the steering-law viewpoint, it is widely accepted that double-gimbal CMGs (DCMGs) are preferable to single-gimbal CMGs (SCMGs). For DCMGs, steering laws proposed by Kennel 1'2 have been well accepted. The SCMGs have the advantages of possessing relative me- chanical simplicity and producing amplified torques (for low spacecraft angular velocities) on the spacecraft. However, de- velopment of gimbal steering laws for their use is made diffi- cult by the existence of internal singular states. For any system of n CMGs and any direction in space, there exist 2 sets of gimbal angles3 for which no torque can be produced in that direction, and these sets are called internal singularities. Exter- nal singular states correspond to directional angular momen- tum saturation. DCMGs have internal singularities also, but they are easier to avoid. Margulies and Aubrun3 present a geometric theory of SCMG systems. They characterize the momentum envelope of a cluster of SCMGs and identify the internal singular states. Yoshikawa4 presents a steering law for a roof-type configura- tion with four SCMGs. His steering law is based on making all of the internal singular states unstable by providing two jumps with hystereses around the singularities. Cornick5 develops singularity avoidance control laws for the pyramid configura- tion. His technique is based on the ability to calculate the instantaneous locations of all singularities. Hefner and McKenzie6 develop a technique for maximizing the minimum torque capability of a cluster of SCMGs in the pyramid con- figuration. Bauer7 concludes that it is impossible to avoid some singularities and, in general, no global singularity-avoid- ance steering law can exist. Consequently, there will be in- stances when torque demand cannot be met exactly.