A new steering logic based on a mixed weighted two-norm and least squares optimization
solution overcomes a deficiency of being trapped in the momentum saturation singularities.
The new steering logic utilizes an additional weighting matrix, W, in conjunction
with deterministic dither signals in a weighting matrix V. The new steering logic
also provides a simple means of avoiding troublesome, internal elliptic singularities
which are commonly encountered by most other pseudoinverse-based steering logic.
Various CMG systems, such as a typical pyramid array of four single-gimbal CMGs,
two and three parallel single-gimbal CMG configurations, and four parallel double-gimbal
CMGs of the International Space Station are described as illustrative embodiments
demonstrating the simplicity and effectiveness of the new steering logic.
