Robust Stabilization of the Space Station in the Presence of Inertia Matrix Uncertainty

This paper presents a robust H
_∞
full-state feedback control synthesis method for uncertain systems with D
₁₁
≠ 0. The method is applied to the robust stabilization problem of the Space Station in the face of inertia matrix uncertainty. The control design objective is to find a robust controller that yields the largest stable hypercube in uncertain parameter space, while satisfying the nominal performance requirements. The significance of employing an uncertain plant model with D
₁₁
≠ 0 is demonstrated.